138093140640

Names of 138093140640

• Cardinal: 138093140640 can be written as One hundred thirty-eight billion, ninety-three million, one hundred forty thousand, six hundred forty.

Scientific notation

• Scientific notation: 1.3809314064 × 10¹¹

Factors of 138093140640

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 935

Divisors of 138093140640

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 13 14 15 16 17 20 21 24 26 28 30 31 32 34 35 39 40 42 48 49 51 52 56 60 62 65 68 70 78 80 84 85 91 93 96 98 102 104 105 112 119 120 124 130 136 140 147 155 156 160 168 170 182 186 195 196 204 208 210 217 221 224 238 240 245 248 255 260 272 273 280 294 310 312 336 340 357 364 372 390 392 403 408 416 420 434 442 455 465 476 480 490 496 510 520 527 544 546 560 588 595 620 624 637 651 663 672 680 714 728 735 744 780 784 806 816 833 840 857 868 884 910 930 952 980 992 1020 1040 1054 1085 1092 1105 1120 1176 1190 1209 1240 1248 1274 1302 1326 1360 1365 1428 1456 1470 1488 1519 1547 1560 1568 1581 1612 1632 1666 1680 1714 1736 1768 1785 1820 1860 1904 1911 1960 2015 2040 2080 2108 2170 2184 2210 2352 2380 2418 2480 2499 2548 2571 2604 2635 2652 2720 2730 2821 2856 2912 2940 2976 3038 3094 3120 3162 3185 3224 3255 3315 3332 3360 3428 3472 3536 3570 3640 3689 3720 3808 3822 3920 4030 4080 4165 4216 4285 4340 4368 4420 4557 4641 4704 4760 4836 4960 4998 5096 5142 5208 5270 5304 5460 5642 5712 5880 5999 6045 6076 6188 6240 6324 6370 6448 6510 6630 6664 6851 6856 6944 7072 7140 7280 7378 7440 7595 7644 7735 7840 7905 8060 8160 8330 8432 8463 8570 8680 8736 8840 9114 9282 9520 9555 9672 9996 10192 10284 10416 10540 10608 10829 10920 11067 11141 11284 11424 11760 11998 12090 12152 12376 12495 12648 12740 12855 12896 13020 13260 13328 13702 13712 14105 14280 14560 14569 14756 14880 15190 15288 15470 15810 16120 16660 16864 16926 17140 17360 17680 17997 18228 18445 18564 19040 19110 19344 19747 19992 20384 20553 20568 20832 21080 21216 21658 21840 22134 22282 22568 22785 23205 23520 23996 24180 24304 24752 24990 25296 25480 25710 25823 26040 26520 26567 26656 27404 27424 28210 28560 29138 29512 29995 30380 30576 30940 31620 32240 32487 33320 33423 33852 34255 34280 34720 35360 35994 36456 36890 37128 38220 38688 39494 39984 41106 41136 41993 42160 42315 43316 43680 43707 44268 44564 45136 45570 46410 47957 47992 48360 48608 49504 49980 50592 50960 51420 51646 52080 53040 53134 54145 54808 55335 55705 56420 57120 58276 59024 59241 59990 60760 61152 61880 63240 64480 64974 66640 66846 67704 68510 68560 71988 72845 72912 73780 74256 76440 77469 77987 78988 79701 79968 82212 82272 83986 84320 84630 86632 87414 88536 89128 89985 90272 91140 92820 95914 95984 96720 98735 99960 101920 101983 102765 102840 103292 104160 106080 106268 108290 109616 110670 111410 112840 116552 118048 118482 119980 121520 123760 125979 126480 129115 129948 132835 133280 133692 135408 137020 137120 143871 143976 145690 145824 147560 148512 152880 154938 155974 157976 159402 162435 164424 167115 167972 169260 173264 174828 177072 178256 179970 182280 185640 185969 189397 191828 191968 193440 197470 199920 203966 205530 205680 206584 209965 212536 216580 218535 219232 221340 222820 225680 233104 233961 236964 239785 239960 243040 247520 251958 252960 258230 259896 265670 267384 270816 274040 287742 287952 291380 295120 296205 305760 305949 309876 311948 315952 318804 324870 328848 334230 335699 335944 338520 345371 346528 349656 354144 356512 359940 364560 371280 371938 378794 383656 387345 389935 394940 398505 399840 407932 411060 411360 413168 419930 425072 433160 437070 442680 445640 451360 451639 466208 467922 473928 479570 479920 503916 509915 516460 519792 531340 534768 545909 548080 557907 568191 575484 575904 582760 590240 592410 611898 619752 623896 629895 631904 637608 649740 657696 668460 671398 671888 677040 690742 699312 713881 719355 719880 729120 742560 743876 757588 767312 774690 779870 789880 797010 815864 822120 826336 839860 850144 866320 874140 885360 891280 903278 929845 935844 946985 947856 959140 959840 1007097 1007832 1019830 1032920 1036113 1039584 1062680 1069536 1091818 1096160 1115814 1136382 1150968 1165520 1169805 1184820 1223796 1239504 1247792 1259790 1275216 1299480 1301783 1325779 1336920 1342796 1343776 1354080 1354917 1381484 1398624 1427762 1438710 1439760 1487752 1515176 1529745 1534624 1549380 1559740 1579760 1594020 1631728 1637727 1644240 1678495 1679720 1726855 1732640 1748280 1770720 1782560 1806556 1859690 1871688 1893970 1895712 1918280 2014194 2015664 2039660 2065840 2072226 2125360 2141643 2183636 2231628 2258195 2272764 2301936 2331040 2339610 2369640 2417597 2447592 2479008 2495584 2519580 2550432 2598960 2603566 2651558 2673840 2685592 2709834 2729545 2762968 2789535 2840955 2855524 2877420 2879520 2975504 3030352 3059490 3098760 3119480 3159520 3161473 3188040 3263456 3275454 3288480 3356990 3359440 3453710 3496560 3569405 3613112 3719380 3743376 3787940 3836560 3905349 3977337 4028388 4031328 4079320 4131680 4144452 4250720 4283286 4367272 4463256 4516390 4545528 4603872 4679220 4739280 4835194 4895184 5035485 5039160 5180565 5197920 5207132 5303116 5347680 5371184 5419668 5459090 5525936 5579070 5681910 5711048 5754840 5871307 5951008 6060704 6118980 6197520 6238960 6322946 6376080 6508915 6550908 6628895 6713980 6718880 6774585 6907420 6993120 7138810 7226224 7252791 7438760 7486752 7575880 7673120 7810698 7954674 8056776 8158640 8188635 8288904 8566572 8734544 8926512 9032780 9091056 9280453 9358440 9478560 9484419 9670388 9790368 10070970 10078320 10361130 10414264 10606232 10708215 10742368 10839336 10918180 11051872 11158140 11363820 11422096 11509680 11742614 12087985 12237960 12395040 12477920 12645892 12752160 13017830 13101816 13257790 13427960 13549170 13814840 14277620 14452448 14505582 14877520 15151760 15621396 15807365 15909348 16113552 16317280 16377270 16577808 16923179 17133144 17469088 17613921 17853024 18065560 18182112 18560906 18716880 18968838 19340776 19526745 19886685 20141940 20156640 20722260 20828528 21212464 21416430 21678672 21836360 22130311 22316280 22727640 22844192 23019360 23485228 24175970 24475920 25291784 26035660 26203632 26515580 26855920 27098340 27629680 27841359 28555240 29011164 29356535 29755040 30303520 31242792 31614730 31818696 32227104 32754540 33155616 33846358 34266288 35227842 36131120 36263955 37121812 37433760 37937676 38681552 39053490 39773370 40283880 41099149 41444520 41657056 42424928 42832860 43357344 43672720 44260622 44632560 45455280 46402265 46970456 47422095 48351940 48951840 50583568 50769537 52071320 52407264 53031160 53711840 54196680 55259360 55682718 57110480 58022328 58713070 62485584 63229460 63637392 65509080 66390933 67692716 68532576 70455684 72262240 72527910 74243624 75875352 77363104 78106980 79546740 80567760 82198298 82889040 84615895 85665720 87345440 88069605 88521244 89265120 90910560 92804530 93940912 94844190 96703880 101167136 101539074 104142640 106062320 108393360 110651555 111365436 114220960 116044656 117426140 123297447 124971168 126458920 127274784 131018160 132781866 135385432 139206795 140911368 145055820 148487248 151750704 156213960 159093480 161135520 164396596 165778080 169231790 171331440 176139210 177042488 185609060 187881824 189688380 193407760 203078148 205495745 208285280 212124640 216786720 221303110 222730872 232089312 234852280 246594894 252917840 253847685 262036320 265563732 270770864 278413590 281822736 287694043 290111640 296974496 303501408 312427920 318186960 328793192 331954665 338463580 342662880 352278420 354084976 371218120 379376760 386815520 406156296 410991490 442606220 445461744 469704560 493189788 505835680 507695370 531127464 541541728 556827180 563645472 575388086 580223280 616487235 624855840 636373920 657586384 663909330 676927160 704556840 708169952 742436240 758753520 812312592 821982980 863082129 885212440 890923488 939409120 986379576 1015390740 1062254928 1113654360 1150776172 1160446560 1232974470 1315172768 1327818660 1353854320 1409113680 1438470215 1484872480 1517507040 1624625184 1643965960 1726164258 1770424880 1972759152 2030781480 2124509856 2227308720 2301552344 2465948940 2655637320 2707708640 2818227360 2876940430 3287931920 3452328516 3540849760 3945518304 4061562960 4315410645 4454617440 4603104688 4931897880 5311274640 5753880860 6575863840 6904657032 8123125920 8630821290 9206209376 9863795760 10622549280 11507761720 13809314064 17261642580 19727591520 23015523440 27618628128 34523285160 46031046880 69046570320 138093140640
• Sum of all divisors σ(n): 596299511808
• Sum of proper divisors (its aliquot sum) s(n): 458206371168
• 138093140640 is an abundant number, because the sum of its proper divisors (458206371168) is greater than itself. Its abundance is 320113230528

Bases of 138093140640

• Binary: 10000000100110111111100001101010100000₂
• Hexadecimal: 0x2026FE1AA0
• Base-36: 1RFT399C

Squares and roots of 138093140640

• 138093140640 squared (138093140640²) is 19069715491818819609600
• 138093140640 cubed (138093140640³) is 2633396903376523025747282694144000
• The square root of 138093140640 is 371608.8543616797
• The cube root of 138093140640 is 5168.8115951499

Scales and comparisons

• 138,093,140,640 seconds is equal to 4,390 years, 48 weeks, 4 days, 5 hours, 44 minutes.
• To count from 1 to 138,093,140,640 would take you about eight thousand, seven hundred eighty-one 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 138093140640 cubic inches would be around 430.7 feet tall.

Recreational maths with 138093140640

• 138093140640 backwards is 046041390831
• 138093140640 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138093140640's digits is 39
• More coming soon!