138148657920
138,148,657,920 is an even composite number composed of seven prime numbers multiplied together.
138148657920 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 138148657920:
28 × 33 × 5 × 7 × 132 × 31 × 109
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 13 × 13 × 31 × 109)See below for interesting mathematical facts about the number 138148657920 from the Numbermatics database.
Names of 138148657920
- Cardinal: 138148657920 can be written as One hundred thirty-eight billion, one hundred forty-eight million, six hundred fifty-seven thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.3814865792 × 1011
Factors of 138148657920
Divisors of 138148657920
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 27 28 30 31 32 35 36 39 40 42 45 48 52 54 56 60 62 63 64 65 70 72 78 80 84 90 91 93 96 104 105 108 109 112 117 120 124 126 128 130 135 140 144 155 156 160 168 169 180 182 186 189 192 195 208 210 216 217 218 224 234 240 248 252 256 260 270 273 279 280 288 310 312 315 320 327 336 338 351 360 364 372 378 384 390 403 416 420 432 434 436 448 455 465 468 480 496 504 507 520 540 545 546 558 560 576 585 620 624 630 640 651 654 672 676 702 720 728 744 756 763 768 780 806 819 832 837 840 845 864 868 872 896 910 930 936 945 960 981 992 1008 1014 1040 1080 1085 1090 1092 1116 1120 1152 1170 1183 1209 1240 1248 1260 1280 1302 1308 1344 1352 1365 1395 1404 1417 1440 1456 1488 1512 1521 1526 1560 1612 1635 1638 1664 1674 1680 1690 1728 1736 1744 1755 1792 1820 1860 1872 1890 1920 1953 1962 1984 2015 2016 2028 2080 2160 2170 2180 2184 2232 2240 2289 2304 2340 2366 2418 2457 2480 2496 2520 2535 2604 2616 2688 2704 2730 2790 2808 2821 2834 2880 2912 2943 2976 3024 3042 3052 3120 3224 3255 3270 3276 3328 3348 3360 3379 3380 3456 3472 3488 3510 3549 3627 3640 3720 3744 3780 3815 3840 3906 3924 3968 4030 4032 4056 4095 4160 4185 4251 4320 4340 4360 4368 4464 4480 4563 4578 4680 4732 4836 4905 4914 4960 4992 5040 5070 5208 5232 5239 5376 5408 5460 5580 5616 5642 5668 5760 5824 5859 5886 5915 5952 6045 6048 6084 6104 6240 6448 6510 6540 6552 6696 6720 6758 6760 6867 6912 6944 6976 7020 7085 7098 7254 7280 7440 7488 7560 7605 7630 7812 7848 7936 8060 8064 8112 8190 8320 8370 8463 8502 8640 8680 8720 8736 8928 8960 9126 9156 9360 9464 9672 9765 9810 9828 9919 9920 9984 10080 10137 10140 10416 10464 10478 10647 10816 10881 10920 11160 11232 11284 11336 11445 11520 11648 11718 11772 11830 11904 12090 12096 12168 12208 12285 12480 12753 12896 13020 13080 13104 13392 13440 13516 13520 13734 13888 13952 14040 14105 14170 14196 14508 14560 14715 14880 14976 15120 15210 15260 15624 15696 15717 16120 16128 16224 16380 16640 16740 16895 16926 17004 17280 17360 17440 17472 17745 17856 18135 18252 18312 18421 18720 18928 19344 19530 19620 19656 19838 19840 20160 20274 20280 20601 20832 20928 20956 21255 21294 21632 21762 21840 22320 22464 22568 22672 22815 22890 23296 23436 23544 23653 23660 23808 24180 24192 24336 24416 24570 24960 25389 25506 25792 26040 26160 26195 26208 26784 26880 27032 27040 27468 27776 27904 28080 28210 28340 28392 29016 29120 29295 29430 29757 29760 29952 30240 30411 30420 30520 31248 31392 31434 31941 32240 32448 32760 33480 33790 33852 34008 34335 34560 34720 34880 34944 35490 35712 36270 36504 36624 36673 36842 37440 37856 38259 38688 39060 39240 39312 39676 39680 40320 40548 40560 41202 41664 41856 41912 42315 42510 42588 43264 43524 43680 43927 44640 44928 45136 45344 45630 45780 46872 47088 47151 47306 47320 48360 48384 48672 48832 49140 49595 49920 50685 50778 51012 51584 52080 52320 52390 52416 53235 53568 54064 54080 54405 54936 55263 55552 56160 56420 56680 56784 58032 58240 58590 58860 59514 59520 60480 60822 60840 61040 62496 62784 62868 63765 63882 64480 64896 65520 66960 67580 67704 68016 68670 69440 69760 69888 70959 70980 71424 72540 73008 73248 73346 73684 74880 75712 76167 76518 77376 78120 78480 78585 78624 79352 80640 81096 81120 82404 83328 83712 83824 84630 85020 85176 87048 87360 87854 89271 89280 89856 90272 90688 91233 91260 91560 92105 93744 94176 94302 94612 94640 96720 97344 97664 98280 99190 101370 101556 102024 103005 103168 104160 104640 104780 104832 106470 107136 108128 108160 108810 109872 110019 110526 112320 112840 113360 113568 116064 116480 117180 117720 118265 119028 119040 120960 121644 121680 122080 124992 125568 125736 126945 127530 127764 128947 128960 129792 131040 131781 133920 135160 135408 136032 137340 138880 139520 141453 141918 141960 145080 146016 146496 146692 147368 148785 149760 151424 152055 152334 153036 154752 156240 156960 157170 157248 158704 159705 162192 162240 164808 165789 166656 167648 169260 170040 170352 174096 174720 175708 178542 178560 180544 181376 182466 182520 183120 183365 184210 187488 188352 188604 189224 189280 191295 193440 194688 195328 196560 198380 202740 203112 204048 206010 208320 209280 209560 209664 212877 212940 214272 216256 216320 217620 219635 219744 220038 221052 224640 225680 226720 227136 232128 234360 235440 235755 236530 238056 241920 243288 243360 244160 249984 251136 251472 253890 255060 255528 257894 257920 262080 263562 267813 267840 270320 270816 272064 274680 276315 277760 282906 283836 283920 290160 292032 292992 293384 294736 297570 302848 304110 304668 306072 307489 309504 312480 313920 314340 314496 317408 319410 324384 324480 329616 330057 331578 335296 338520 340080 340704 348192 349440 351416 354795 357084 357120 361088 362752 364932 365040 366240 366730 368420 374976 376704 377208 378448 378560 380835 382590 386841 386880 389376 393120 395343 396760 405480 406224 408096 412020 416640 418560 419120 425754 425880 432512 435240 439270 439488 440076 442104 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2785536 2811328 2829060 2838360 2855255 2856672 2919456 2920320 2929920 2933840 2947360 3017664 3027584 3046680 3060720 3074890 3094728 3144960 3162744 3174080 3193155 3243840 3249792 3264768 3296160 3300570 3315780 3352960 3406032 3407040 3426306 3481569 3481920 3514160 3520608 3536832 3570840 3610880 3649320 3689868 3749760 3767040 3772080 3784480 3808896 3868410 3892608 3953430 3960684 3978936 3997357 4023552 4062240 4080960 4088448 4126304 4216992 4257540 4285008 4325120 4394880 4400760 4421040 4526496 4541376 4542720 4568408 4612335 4642092 4642560 4694144 4715776 4744116 4761120 4865760 4874688 4897152 4919824 4950855 4973670 5029440 5109048 5110560 5139459 5157880 5271240 5273856 5280912 5305248 5356260 5416320 5441280 5534802 5622656 5658120 5676720 5710510 5713344 5802615 5838912 5840640 5867680 5894720 5930145 6035328 6055168 6093360 6121440 6149780 6189456 6325488 6348160 6386310 6487680 6499584 6592320 6601140 6631560 6705920 6812064 6814080 6852612 6963138 6963840 7028320 7041216 7073664 7141680 7298640 7379736 7499520 7544160 7568960 7617792 7736820 7785216 7906860 7921368 7957872 7994714 8124480 8161920 8176896 8252608 8302203 8433984 8515080 8565765 8570016 8789760 8801520 8842080 9052992 9082752 9136816 9224670 9284184 9388288 9488232 9522240 9731520 9749376 9794304 9839648 9901710 9947340 10058880 10218096 10221120 10278918 10315760 10542480 10561824 10610496 10712520 10832640 11069604 11245312 11316240 11353440 11421020 11426688 11605230 11677824 11735360 11789440 11860290 11992071 12070656 12186720 12242880 12299560 12378912 12650976 12696320 12772620 12975360 13184640 13202280 13263120 13624128 13628160 13705224 13837005 13926276 13927680 14056640 14082432 14147328 14283360 14597280 14759472 15088320 15137920 15418377 15473640 15813720 15842736 15915744 15989428 16248960 16323840 16505216 16604406 16867968 17030160 17131530 17140032 17407845 17603040 17684160 18105984 18165504 18273632 18449340 18568368 18976464 19044480 19463040 19498752 19679296 19803420 19894680 19986785 20117760 20436192 20442240 20557836 20631520 21084960 21123648 21220992 21425040 22139208 22632480 22706880 22842040 22853376 23210460 23355648 23470720 23578880 23720580 23984142 24373440 24485760 24599120 24757824 25301952 25545240 25697295 26369280 26404560 26526240 27248256 27410448 27674010 27852552 28113280 28164864 28566720 29194560 29518944 30176640 30275840 30836754 30947280 31627440 31685472 31831488 31978856 32497920 33010432 33208812 33735936 34060320 34263060 34280064 34815690 35206080 35368320 35976213 36211968 36547264 36898680 37136736 37952928 38088960 38926080 39358592 39606840 39789360 39973570 40872384 40884480 41115672 41263040 41511015 42169920 42247296 42441984 42850080 44278416 45264960 45413760 45684080 46420920 46941440 47441160 47968284 48746880 48971520 49198240 49515648 50603904 51090480 51394590 52809120 53052480 54496512 54820896 55348020 55705104 56226560 57133440 58389120 59037888 59960355 60353280 61673508 61894560 63254880 63370944 63662976 63957712 66417624 68120640 68526120 68560128 69631380 70412160 70736640 71952426 73094528 73797360 74273472 75905856 77091885 78717184 79213680 79578720 79947140 81744768 82231344 82526080 83022030 84339840 84494592 85700160 88556832 90529920 90827520 91368160 92841840 94882320 95936568 97493760 98396480 99031296 101207808 102180960 102789180 105618240 106104960 107928639 109641792 110696040 111410208 114266880 116778240 118075776 119920710 123347016 123789120 126509760 126741888 127325952 127915424 132835248 136241280 137052240 139262760 140824320 143904852 146189056 147594720 148546944 151811712 154183770 158427360 159157440 159894280 163489536 164462688 165052160 166044060 168679680 171400320 177113664 179881065 181059840 182736320 185683680 189764640 191873136 196792960 204361920 205578360 211236480 212209920 215857278 219283584 221392080 222820416 236151552 239841420 246694032 247578240 253019520 253483776 255830848 265670496 272482560 274104480 278525520 287809704 295189440 297093888 303623424 308367540 316854720 318314880 319788560 328925376 332088120 342800640 354227328 359762130 365472640 371367360 379529280 383746272 393585920 408723840 411156720 422472960 431714556 438567168 442784160 445640832 479682840 493388064 495156480 506039040 511661696 531340992 539643195 548208960 557051040 575619408 590378880 616735080 633709440 636629760 639577120 657850752 664176240 708454656 719524260 730945280 742734720 759058560 767492544 817447680 822313440 863429112 885568320 891281664 959365680 986776128 1023323392 1062681984 1079286390 1096417920 1114102080 1151238816 1180757760 1233470160 1267418880 1279154240 1315701504 1328352480 1439048520 1485469440 1518117120 1534985088 1644626880 1726858224 1771136640 1918731360 1973552256 2125363968 2158572780 2192835840 2228204160 2302477632 2466940320 2558308480 2656704960 2878097040 3069970176 3289253760 3453716448 3542273280 3837462720 3947104512 4317145560 4456408320 4604955264 4933880640 5116616960 5313409920 5756194080 6578507520 6907432896 7674925440 8634291120 9209910528 9867761280 10626819840 11512388160 13814865792 15349850880 17268582240 19735522560 23024776320 27629731584 34537164480 46049552640 69074328960 138148657920
- Sum of all divisors σ(n): 631998259200
- Sum of proper divisors (its aliquot sum) s(n): 493849601280
- 138148657920 is an abundant number, because the sum of its proper divisors (493849601280) is greater than itself. Its abundance is 355700943360
Bases of 138148657920
- Binary: 100000001010100100110100111011000000002
- Hexadecimal: 0x202A4D3B00
- Base-36: 1RGQ56O0
Squares and roots of 138148657920
- 138148657920 squared (1381486579202) is 19085051685097178726400
- 138148657920 cubed (1381486579203) is 2636574276630009705830534873088000
-
The
square root of 138148657920 is 371683.5453985017 -
The
cube root of 138148657920 is 5169.5041709791
Scales and comparisons
How big is 138148657920?- 138,148,657,920 seconds is equal to 4,392 years, 36 weeks, 2 days, 19 hours, 12 minutes.
-
To count from 1 to 138,148,657,920 would take you about eight thousand, seven hundred eighty-five years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 138148657920 cubic inches would be around 430.8 feet tall.
Recreational maths with 138148657920
- 138148657920 backwards is 029756841831
- 138148657920 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138148657920's digits is 54
- More coming soon!
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Numbermatics. (2024). Number 138148657920 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/138148657920/
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The information we have on file for 138148657920 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 138148657920, math, Factors of 138148657920, curriculum, school, college, exams, university, Prime factorization of 138148657920, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight billion, one hundred forty-eight million, six hundred fifty-seven thousand, nine hundred twenty.