137893855129632
137,893,855,129,632 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137893855129632 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
137893855129632 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 137893855129632:
25 × 33 × 72 × 432 × 59 × 73 × 409
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 43 × 43 × 59 × 73 × 409)See below for interesting mathematical facts about the number 137893855129632 from the Numbermatics database.
Names of 137893855129632
- Cardinal: 137893855129632 can be written as One hundred thirty-seven trillion, eight hundred ninety-three billion, eight hundred fifty-five million, one hundred twenty-nine thousand, six hundred thirty-two.
Scientific notation
- Scientific notation: 1.37893855129632 × 1014
Factors of 137893855129632
Divisors of 137893855129632
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 43 48 49 54 56 59 63 72 73 84 86 96 98 108 112 118 126 129 144 146 147 168 172 177 189 196 216 219 224 236 252 258 288 292 294 301 336 344 354 378 387 392 409 413 432 438 441 472 504 511 516 531 584 588 602 657 672 688 708 756 774 784 818 826 864 876 882 903 944 1008 1022 1032 1062 1161 1168 1176 1204 1227 1239 1314 1323 1376 1416 1512 1533 1548 1568 1593 1636 1652 1752 1764 1806 1849 1888 1971 2016 2044 2064 2107 2124 2322 2336 2352 2408 2454 2478 2537 2628 2646 2709 2832 2863 2891 3024 3066 3096 3139 3186 3272 3304 3504 3528 3577 3612 3681 3698 3717 3942 4088 4128 4214 4248 4307 4599 4644 4704 4816 4908 4956 5074 5256 5292 5418 5547 5664 5726 5782 6048 6132 6192 6278 6321 6372 6544 6608 7008 7056 7154 7224 7362 7396 7434 7611 7884 8127 8176 8428 8496 8589 8614 8673 9198 9288 9417 9632 9816 9912 10148 10512 10584 10731 10836 11043 11094 11151 11452 11564 12264 12384 12556 12642 12744 12921 12943 13088 13216 13797 14112 14308 14448 14724 14792 14868 15222 15768 16254 16352 16641 16856 16992 17178 17228 17346 17587 17759 18396 18576 18834 18963 19632 19824 20041 20296 21024 21168 21462 21672 21973 22086 22188 22302 22833 22904 23128 24131 24528 25112 25284 25488 25767 25842 25886 26019 27594 28251 28616 28896 29448 29584 29736 29857 30149 30444 31536 32193 32508 33282 33712 34356 34456 34692 35174 35518 36792 37152 37668 37926 38763 38829 39264 39648 40082 40592 42336 42924 43344 43946 44172 44376 44604 45666 45808 46256 48262 49056 49923 50224 50568 50976 51534 51684 51772 52038 52761 53277 55188 56502 56889 57232 58896 59168 59472 59714 60123 60298 60888 63072 64386 65016 65919 66564 67424 68499 68712 68912 69384 70348 71036 72393 73584 75336 75852 77301 77526 77658 78057 80164 81184 84753 85848 86688 87892 88344 88752 89208 89571 90447 90601 91332 91616 92512 96524 96579 99846 100448 101136 103068 103368 103544 104076 105522 106554 109091 110376 113004 113778 114464 116289 116487 117792 118944 119428 120246 120596 121776 123109 124313 128772 130032 131838 133128 134977 136998 137424 137824 138768 140696 142072 144786 147168 150672 151704 153811 154602 155052 155316 156114 158283 159831 160328 168917 169506 171696 175784 176688 177504 178416 179142 180369 180894 181202 182664 185201 193048 193158 197757 199692 202272 206136 206736 207088 208152 208999 211043 211044 213108 217179 218182 220752 226008 227556 232578 232974 238856 240492 241192 243552 246218 248626 257544 260064 263676 266256 268713 269954 271341 271803 273996 274848 277536 281392 284144 289572 301344 303408 307622 309204 310104 310632 312228 316566 319662 320656 327273 337834 339012 343392 349461 351568 353376 356832 358284 360738 361788 362404 365328 369327 370402 372939 386096 386316 395514 399384 404931 412272 413472 414176 416304 417998 422086 422088 426216 434358 436364 441504 452016 455112 461433 465156 465948 474849 477712 479493 480984 482384 492436 497252 506751 515088 527352 532512 537426 539908 541107 542682 543606 547992 555603 562784 568288 579144 593271 606816 615244 618408 620208 621264 624456 626997 633129 633132 639324 641312 651537 654546 675668 678024 698922 703136 716568 721476 723576 724808 730656 738654 740804 745878 756241 763637 772192 772632 791028 798768 806139 809862 814023 815409 824544 832608 835996 844172 844176 852432 861763 868716 872728 904032 910224 922866 930312 931896 944839 949698 955424 958986 961968 964768 981819 984872 994504 1013502 1030176 1037633 1054704 1074852 1079816 1082214 1085364 1087212 1095984 1107981 1111206 1118817 1158288 1182419 1186542 1214793 1230488 1236816 1240416 1242528 1248912 1253994 1266258 1266264 1278648 1283851 1296407 1303074 1309092 1351336 1356048 1384299 1397844 1433136 1442952 1447152 1449616 1462993 1477308 1481608 1491756 1512482 1520253 1527274 1545264 1582056 1597536 1612278 1619724 1628046 1630818 1666809 1671992 1688344 1688352 1704864 1723526 1737432 1745456 1761563 1820448 1845732 1860624 1863792 1880991 1889678 1899387 1899396 1917972 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2613556512 2649868464 2663483256 2668018248 2675784048 2705074057 2726899524 2745576918 2762130784 2810947797 2857193136 2981102022 3010257054 3019617552 3091513208 3107397132 3121748056 3137802192 3181382778 3212511768 3257129987 3397069746 3440293776 3477952359 3511966563 3551311008 3557357664 3635866032 3660769224 3711613241 3747930396 3882365424 3920334768 3974802696 4002027372 4013676072 4090349286 4143196176 4241843704 4283349024 4372585462 4529426328 4573745568 4618476576 4637269812 4661095698 4682622084 4772074167 4818767652 4881025632 4997240528 5299736928 5326966512 5336036496 5351568096 5410148114 5453799048 5491153836 5621895594 5714386272 5962204044 6020514108 6039235104 6183026416 6214794264 6243496112 6275604384 6362765556 6425023536 6514259974 6558878193 6794139492 6880587552 6955904718 7023933126 7271732064 7321538448 7423226482 7495860792 7764730848 7840669536 7949605392 8004054744 8027352144 8115222171 8180698572 8286392352 8432843391 8483687408 8745170924 9058852656 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42143598756 43281184912 43929230688 44539358892 44975164752 45599819818 47697632352 48164112864 48691333026 50902124448 52114079792 52471025544 54353115936 55647237744 56191465008 57264890004 58628339766 59029903737 59385811856 64921777368 65445588576 66809038338 67462747128 68399729727 69961367392 73036999539 74577531168 76353186672 78171119688 78706538316 83470856616 84287197512 86562369824 87942509649 89078717784 89950329504 91199639636 97382666052 100213557507 104228159584 104942051088 111294475488 112382930016 114529780008 117256679532 118059807474 118771623712 129843554736 133618076676 134925494256 136799459454 146073999078 152706373344 156342239376 157413076632 159599369363 166941713232 168574395024 175885019298 178157435568 182399279272 194765332104 200427115014 205199189181 209884102176 229059560016 234513359064 236119614948 259687109472 267236153352 269850988512 273598918908 292147998156 312684478752 314826153264 319198738726 333883426464 337148790048 351770038596 356314871136 364798558544 389530664208 400854230028 410398378362 458119120032 469026718128 472239229896 478798108089 534472306704 547197837816 584295996312 615597567543 629652306528 638397477452 703540077192 729597117088 779061328416 801708460056 820796756724 938053436256 944478459792 957596216178 1068944613408 1094395675632 1168591992624 1231195135086 1276794954904 1407080154384 1436394324267 1603416920112 1641593513448 1888956919584 1915192432356 2188791351264 2337183985248 2462390270172 2553589909808 2814160308768 2872788648534 3206833840224 3283187026896 3830384864712 4309182972801 4924780540344 5107179819616 5745577297068 6566374053792 7660769729424 8618365945602 9849561080688 11491154594136 15321539458848 17236731891204 19699122161376 22982309188272 34473463782408 45964618376544 68946927564816 137893855129632
- Sum of all divisors σ(n): 494985910608000
- Sum of proper divisors (its aliquot sum) s(n): 357092055478368
- 137893855129632 is an abundant number, because the sum of its proper divisors (357092055478368) is greater than itself. Its abundance is 219198200348736
Bases of 137893855129632
- Binary: 111110101101001111010100100000001110000001000002
- Hexadecimal: 0x7D69EA407020
- Base-36: 1CVNK913C0
Squares and roots of 137893855129632
- 137893855129632 squared (1378938551296322) is 19014715282511937439524455424
- 137893855129632 cubed (1378938551296323) is 2622012394497900708557443999351453725523968
-
The
square root of 137893855129632 is 11742821.4296919291 -
The
cube root of 137893855129632 is 51663.2398629057
Scales and comparisons
How big is 137893855129632?- 137,893,855,129,632 seconds is equal to 4,384,598 years, 3 weeks, 15 hours, 7 minutes, 12 seconds.
-
To count from 1 to 137,893,855,129,632 would take you about ten million, nine hundred sixty-one thousand, four hundred ninety-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 137893855129632 cubic inches would be around 4305.3 feet tall.
Recreational maths with 137893855129632
- 137893855129632 backwards is 236921558398731
- 137893855129632 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137893855129632's digits is 72
- More coming soon!
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"Number 137893855129632 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
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Numbermatics. (2024). Number 137893855129632 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/137893855129632/
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The information we have on file for 137893855129632 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!
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