138180374640
138,180,374,640 is an even composite number composed of nine prime numbers multiplied together.
138180374640 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 138180374640:
24 × 32 × 5 × 7 × 11 × 31 × 37 × 41 × 53
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 11 × 31 × 37 × 41 × 53)See below for interesting mathematical facts about the number 138180374640 from the Numbermatics database.
Names of 138180374640
- Cardinal: 138180374640 can be written as One hundred thirty-eight billion, one hundred eighty million, three hundred seventy-four thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.3818037464 × 1011
Factors of 138180374640
Divisors of 138180374640
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 28 30 31 33 35 36 37 40 41 42 44 45 48 53 55 56 60 62 63 66 70 72 74 77 80 82 84 88 90 93 99 105 106 110 111 112 120 123 124 126 132 140 144 148 154 155 159 164 165 168 176 180 185 186 198 205 210 212 217 220 222 231 240 246 248 252 259 264 265 279 280 287 296 308 310 315 318 328 330 333 336 341 360 369 370 371 372 385 396 407 410 420 424 434 440 444 451 462 465 477 492 495 496 504 518 528 530 555 558 560 574 583 592 615 616 620 630 636 651 656 660 666 682 693 720 738 740 742 744 770 777 792 795 814 820 840 848 861 868 880 888 902 924 930 954 984 990 1008 1023 1036 1060 1085 1110 1113 1116 1147 1148 1155 1166 1221 1230 1232 1240 1260 1271 1272 1295 1302 1320 1332 1353 1364 1386 1395 1435 1476 1480 1484 1488 1517 1540 1554 1584 1590 1628 1640 1643 1665 1680 1705 1722 1736 1749 1776 1804 1845 1848 1855 1860 1908 1953 1961 1968 1980 2035 2046 2072 2120 2170 2173 2220 2226 2232 2255 2294 2296 2310 2331 2332 2385 2387 2442 2460 2480 2520 2542 2544 2583 2590 2604 2640 2664 2706 2728 2772 2790 2849 2870 2915 2952 2960 2968 3034 3069 3080 3108 3157 3180 3255 3256 3280 3286 3330 3339 3410 3441 3444 3465 3472 3498 3608 3663 3690 3696 3710 3720 3813 3816 3885 3906 3922 3960 4059 4070 4081 4092 4144 4240 4305 4340 4346 4440 4452 4464 4510 4551 4588 4592 4620 4662 4664 4770 4774 4884 4920 4929 5040 5084 5115 5166 5180 5208 5247 5328 5412 5456 5544 5565 5580 5698 5735 5740 5830 5883 5904 5936 6068 6105 6138 6160 6216 6314 6355 6360 6510 6512 6519 6572 6660 6678 6765 6820 6882 6888 6930 6996 7161 7216 7326 7380 7420 7440 7585 7626 7632 7770 7812 7844 7920 8029 8118 8140 8162 8184 8215 8547 8610 8680 8692 8745 8880 8897 8904 9020 9102 9176 9240 9324 9328 9471 9540 9548 9765 9768 9805 9840 9858 10168 10230 10323 10332 10360 10416 10494 10619 10824 10865 11088 11130 11160 11396 11439 11470 11480 11501 11655 11660 11766 11935 12136 12210 12243 12276 12432 12617 12628 12710 12720 12915 13020 13038 13144 13320 13356 13530 13640 13653 13727 13764 13776 13860 13981 13992 14245 14322 14652 14760 14787 14840 15170 15211 15252 15345 15540 15624 15688 15785 16058 16236 16280 16324 16368 16430 16687 16695 17094 17205 17220 17360 17384 17490 17649 17794 17808 18040 18073 18204 18315 18352 18480 18648 18942 19065 19080 19096 19530 19536 19557 19610 19716 20295 20336 20405 20460 20646 20664 20720 20988 21238 21483 21571 21648 21730 22260 22320 22755 22792 22878 22940 22960 23002 23310 23320 23532 23870 23903 24087 24272 24420 24486 24552 24645 25234 25256 25420 25641 25830 26040 26076 26235 26288 26640 26691 26712 27060 27280 27306 27454 27528 27720 27962 27984 28413 28490 28644 29304 29415 29520 29574 29680 30340 30422 30504 30690 31080 31248 31376 31570 31857 32116 32472 32560 32595 32648 32860 33374 33390 34188 34410 34440 34503 34768 34980 35298 35588 35805 36080 36146 36408 36630 36729 37296 37851 37884 38130 38160 38192 39060 39114 39220 39432 40145 40590 40810 40920 41181 41292 41328 41943 41976 42476 42735 42966 43142 43460 44485 44520 45510 45584 45633 45756 45880 46004 46620 46640 47027 47064 47355 47740 47806 48174 48840 48972 49104 49290 50061 50468 50512 50840 51282 51615 51660 52080 52152 52470 53095 53382 53424 54120 54219 54612 54908 55056 55440 55924 56826 56980 57195 57288 57505 58608 58830 59148 60680 60791 60844 61008 61215 61380 62160 63085 63140 63714 64232 64713 64944 65190 65296 65720 66748 66780 67363 68265 68376 68635 68820 68880 69006 69905 69960 70596 71176 71610 71709 72261 72292 72816 73260 73458 73935 75702 75768 76055 76260 78120 78228 78440 78864 80073 80290 80401 81180 81620 81840 82362 82584 83435 83886 83952 84952 85470 85932 86284 86920 88245 88319 88970 89040 90365 91020 91266 91512 91760 92008 93240 94054 94128 94710 95480 95571 95612 96348 97680 97785 97867 97944 98580 100122 100936 101680 102564 103230 103320 103509 104304 104940 106190 106764 107415 107855 108240 108438 109224 109816 111848 113553 113652 113960 114390 114576 115010 116809 117660 118296 119515 120435 121360 121582 121688 122430 122760 123543 125829 126170 126280 126511 127428 128205 128464 129426 130380 131440 133455 133496 133560 134726 136530 136752 136899 137270 137640 138012 139810 139920 141081 141192 142065 142352 143220 143418 144522 144584 146520 146916 147870 150183 150997 151404 151536 152110 152520 156240 156456 156880 159285 160146 160580 160802 162360 162657 163240 164724 165168 166870 167321 167772 169904 170940 171864 172515 172568 173840 176490 176638 177940 180730 182040 182373 182532 183024 183645 184016 186480 188108 189255 189420 190960 191142 191224 192696 194139 195570 195734 195888 197160 200244 201872 202089 205128 205905 206460 206640 207018 209715 209880 212380 213528 214830 215127 215710 216876 218448 219632 223696 227106 227304 227920 228165 228780 230020 233618 235135 235320 236592 239030 240870 241203 243164 243376 244860 245520 247086 250305 251658 252340 252560 253022 254856 256410 258852 260760 264957 266910 266992 267120 269452 271095 273060 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7236090 7242158 7247856 7294920 7409930 7477293 7529445 7544656 7590660 7645680 7659666 7759455 7765560 7829360 7900536 7948710 7959699 8024412 8031408 8083560 8276752 8280720 8410248 8442105 8464860 8487738 8510740 8605080 8753904 8808030 8844110 8891916 9004912 9059820 9084240 9108792 9311346 9344720 9361814 9430820 9648120 9700272 9875670 9883440 9969724 10030515 10039260 10066320 10120880 10130526 10212888 10345940 10373902 10512810 10598280 10612932 10699216 10863237 10871784 10942380 10951920 11114895 11256140 11286480 11316984 11385990 11577744 11744040 11850804 11855888 12014640 12036618 12047112 12079760 12125340 12381754 12415128 12462155 12717936 12766110 13012560 13167560 13266165 13337874 13374020 13385680 13507368 13589730 14017080 14042721 14092848 14146230 14150576 14472180 14484316 14589840 14813505 14819860 14954586 15058890 15181320 15319332 15518910 15531120 15560853 15801072 15897420 15919398 16048824 16167120 16820496 16884210 16929720 16975476 17021480 17210160 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48146472 48501360 49527016 49848620 50652630 51064440 51869510 52341051 53064660 53351496 53496080 54316185 54358920 54833482 55717893 56170884 56584920 57888720 57937264 59254020 59279440 59818344 60183090 60235560 61277328 61908770 62075640 62243412 63589680 63677592 65179422 66689370 67536840 67901904 69788068 70213605 70464240 70752880 72421580 74290524 74490768 74772930 74894512 76596660 77804265 79005360 79596990 80244120 81044208 82250223 82991216 84102480 84256326 84877380 86905896 87235085 88919160 89727516 91087920 92863155 93113460 93365118 93618140 96292944 99054032 99697240 101305260 102128880 103739020 104682102 106129320 106702992 108632370 108717840 109666964 111435786 112159395 112341768 113169840 118508040 119636688 120366180 120471120 123817540 124151280 124486824 127355184 130358844 133378740 135073680 137083705 139576136 140427210 144843160 148581048 149545860 153193320 155608530 157023153 159193980 160488240 162948555 164500446 168512652 169754760 173811792 174470170 177838320 179455032 185726310 186226920 186730236 187236280 191917187 199394480 202610520 207478040 209364204 210640815 212258640 217264740 219333928 222871572 224318790 224683536 233412795 237016080 240732360 246750669 247635080 248973648 260717688 261705255 266757480 274167410 278589465 279152272 280854420 289686320 297162096 299091720 306386640 311217060 314046306 318387960 325897110 329000892 337025304 339509520 348940340 358910064 371452620 372453840 373460472 374472560 383834374 405221040 411251115 414956080 418728408 421281630 434529480 438667856 445743144 448637580 466825590 481464720 493501338 495270160 521435376 523410510 533514960 548334820 557178930 561708840 575751561 598183440 622434120 628092612 636775920 651794220 658001784 674050608 697880680 742905240 746920944 767668748 785115765 822502230 837456816 842563260 869058960 891486288 897275160 933651180 959585935 987002676 1046821020 1096669640 1114357860 1123417680 1151503122 1233753345 1244868240 1256185224 1303588440 1316003568 1395761360 1485810480 1535337496 1570231530 1645004460 1685126520 1727254683 1794550320 1867302360 1919171870 1974005352 2093642040 2193339280 2228715720 2303006244 2467506690 2512370448 2607176880 2878757805 3070674992 3140463060 3290008920 3370253040 3454509366 3734604720 3838343740 3948010704 4187284080 4457431440 4606012488 4935013380 5757515610 6280926120 6580017840 6909018732 7676687480 8636273415 9212024976 9870026760 11515031220 12561852240 13818037464 15353374960 17272546830 19740053520 23030062440 27636074928 34545093660 46060124880 69090187320 138180374640
- Sum of all divisors σ(n): 640183025664
- Sum of proper divisors (its aliquot sum) s(n): 502002651024
- 138180374640 is an abundant number, because the sum of its proper divisors (502002651024) is greater than itself. Its abundance is 363822276384
Bases of 138180374640
- Binary: 100000001011000011000100110000011100002
- Hexadecimal: 0x202C313070
- Base-36: 1RH90ZG0
Squares and roots of 138180374640
- 138180374640 squared (1381803746402) is 19093815935650755129600
- 138180374640 cubed (1381803746403) is 2638390639295423476007029753344000
-
The
square root of 138180374640 is 371726.2092454607 -
The
cube root of 138180374640 is 5169.8997525043
Scales and comparisons
How big is 138180374640?- 138,180,374,640 seconds is equal to 4,393 years, 36 weeks, 5 days, 21 hours, 24 minutes.
-
To count from 1 to 138,180,374,640 would take you about eight thousand, seven hundred eighty-seven 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 138180374640 cubic inches would be around 430.8 feet tall.
Recreational maths with 138180374640
- 138180374640 backwards is 046473081831
- 138180374640 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138180374640's digits is 45
- More coming soon!
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MLA style:
"Number 138180374640 - Facts about the integer". Numbermatics.com. 2024. Web. 15 May 2024.
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Numbermatics. (2024). Number 138180374640 - Facts about the integer. Retrieved 15 May 2024, from https://numbermatics.com/n/138180374640/
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The information we have on file for 138180374640 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 138180374640, math, Factors of 138180374640, curriculum, school, college, exams, university, Prime factorization of 138180374640, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight billion, one hundred eighty million, three hundred seventy-four thousand, six hundred forty.