137104667986104
137,104,667,986,104 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137104667986104 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
137104667986104 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 137104667986104:
23 × 33 × 72 × 13 × 372 × 412 × 433
(2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 13 × 37 × 37 × 41 × 41 × 433)See below for interesting mathematical facts about the number 137104667986104 from the Numbermatics database.
Names of 137104667986104
- Cardinal: 137104667986104 can be written as One hundred thirty-seven trillion, one hundred four billion, six hundred sixty-seven million, nine hundred eighty-six thousand, one hundred four.
Scientific notation
- Scientific notation: 1.37104667986104 × 1014
Factors of 137104667986104
Divisors of 137104667986104
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 37 39 41 42 49 52 54 56 63 72 74 78 82 84 91 98 104 108 111 117 123 126 147 148 156 164 168 182 189 196 216 222 234 246 252 259 273 287 294 296 312 328 333 351 364 369 378 392 433 441 444 468 481 492 504 518 533 546 574 588 637 666 702 728 738 756 777 819 861 866 882 888 936 962 984 999 1036 1066 1092 1107 1148 1176 1274 1299 1323 1332 1369 1404 1443 1476 1512 1517 1554 1599 1638 1681 1722 1732 1764 1813 1911 1924 1998 2009 2072 2132 2184 2214 2296 2331 2457 2548 2583 2598 2646 2664 2738 2808 2886 2952 3031 3034 3108 3198 3276 3362 3367 3444 3464 3528 3626 3731 3822 3848 3897 3996 4018 4107 4264 4329 4428 4551 4662 4797 4914 5043 5096 5166 5196 5292 5439 5476 5629 5733 5772 6027 6062 6068 6216 6396 6552 6724 6734 6888 6993 7252 7462 7644 7749 7794 7992 8036 8214 8658 8856 9093 9102 9324 9583 9594 9828 10086 10101 10332 10392 10584 10619 10878 10952 11193 11258 11466 11544 11691 11767 12054 12124 12136 12321 12792 12987 13448 13468 13653 13986 14391 14504 14924 15129 15288 15498 15588 16021 16072 16317 16428 16887 17199 17316 17753 17797 18081 18186 18204 18648 19166 19188 19656 19721 20172 20202 20664 21217 21238 21756 21853 22386 22516 22932 23382 23534 23569 24108 24248 24642 25974 26117 26936 27279 27306 27972 28749 28782 29848 30258 30303 30996 31176 31857 32042 32634 32856 33579 33774 34398 34632 35301 35506 35594 36162 36372 36408 36963 38332 38376 39403 39442 40344 40404 40959 42434 42476 43512 43706 44772 45032 45387 45864 46764 47068 47138 48063 48216 48951 49284 50661 51948 52234 53259 53391 54243 54558 54612 55944 56129 57498 57564 59163 60516 60606 61992 62197 63651 63714 64084 65268 65559 67081 67158 67548 68796 70602 70707 71012 71188 72324 72744 73926 74333 76664 78351 78806 78884 80808 81837 81918 82369 84868 84952 86247 87412 89544 90774 90909 93528 94136 94276 95571 96126 97902 98568 100737 101322 103896 104468 105903 106518 106782 108486 109116 109224 112147 112258 114996 115128 118209 118326 121032 121212 124271 124394 124579 127302 127428 128168 130536 131118 134162 134316 135096 137592 138047 141204 141414 142024 142376 144189 144648 147852 148666 151983 152971 156702 157612 157768 159777 160173 163674 163836 164738 168387 169736 172494 174824 177489 181548 181818 186591 188552 190953 191142 192252 195804 196677 201243 201474 202644 208273 208936 211806 212121 213036 213564 216972 218232 222999 224294 224516 229992 230789 235053 236418 236652 242424 247107 248542 248788 249158 254604 254856 258741 262236 268324 268632 275821 276094 282408 282828 286713 288378 295704 297332 303966 305942 313404 315224 317709 319554 320346 327348 327672 329476 336441 336774 344988 354627 354978 363096 363636 372813 373182 373737 381906 382284 384504 391608 392903 393354 402486 402948 405288 414141 416546 423612 424242 426072 427128 432567 433944 435379 445998 448588 449032 458913 461578 470106 472836 473304 479331 480519 494214 497084 497576 498316 505161 509208 517482 524472 532467 536648 551642 552188 559773 565656 572859 573426 576756 590031 592777 594664 603729 607932 611884 624819 626808 635418 636363 639108 640692 654696 656861 658952 668997 672882 673548 689976 692367 705159 709254 709956 727272 727873 729677 741321 745626 746364 747474 763812 764568 785029 785806 786708 804972 805896 808561 827463 828282 833092 847224 848484 865134 869897 870758 872053 891996 897176 917826 923156 940212 945672 958662 961038 966329 988428 994168 996632 1009323 1010322 1034964 1063881 1064934 1070797 1103284 1104376 1118439 1119546 1121211 1145718 1146852 1153512 1178709 1180062 1185554 1207458 1215864 1223768 1242423 1249638 1270836 1272726 1278216 1281384 1306137 1313722 1337994 1345764 1347096 1376739 1384734 1410318 1418508 1419912 1455746 1457911 1459354 1482642 1491252 1492728 1494948 1515483 1527624 1570058 1571612 1573416 1609944 1615523 1617122 1654926 1656564 1666184 1679319 1696968 1730268 1739794 1741516 1744106 1778331 1783992 1811187 1835652 1846312 1874457 1880424 1917324 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2781930606 2800855304 2843551269 2852603208 2908580508 2912906178 2931842186 2989374411 3020791592 3044605347 3062285982 3136975884 3150962217 3227814954 3231009756 3347363656 3393343926 3398390541 3476108412 3479548968 3572666979 3576767922 3709240808 3765784113 3769511382 3791401692 3851903916 3861450684 3883874904 3958901247 3985832548 4059473796 4083047976 4172895909 4201282956 4278904812 4303753272 4397763279 4423301974 4524458568 4531187388 4593428973 4763555972 4769023896 4901496782 5021045484 5026015176 5090015889 5249633112 5278534996 5563861212 5654267073 5687102538 5817161016 5825812356 5863684372 5978748822 6089210694 6124571964 6273951768 6301924434 6455629908 6462019512 6634952961 6786687852 6796781082 6952216824 6975206959 7145333958 7153535844 7352245173 7531568226 7539022764 7582803384 7703807832 7722901368 7917802494 7971665096 8118947592 8345791818 8402565912 8530653807 8557809624 8795526558 8846603948 8968123233 9062374776 9186857946 9452886651 9527111944 9802993564 10042090968 10180031778 10195171623 10557069992 10718000937 11127722424 11297352339 11308534146 11374205076 11651624712 11727368744 11876703741 11957497644 12178421388 12249143928 12518687727 12603848868 12911259816 12953955781 13193289837 13269905922 13573375704 13593562164 13950413918 14290667916 14307071688 14704490346 15063136452 15078045528 15481556909 15835604988 16691583636 17061307614 17155238737 17591053116 17693207896 17936246466 18373715892 18905773302 19605987128 19904858883 20360063556 20390343246 20925620877 21436001874 22056735519 22594704678 22617068292 22748410152 23753407482 23914995288 24356842776 25037375454 25207697736 25907911562 26386579674 26539811844 26904369699 27187124328 27900827836 28581335832 29408980692 30126272904 30963113818 31671209976 32154002811 33383167272 34122615228 34310477474 35182106232 35630111223 35872492932 36747431784 37811546604 38861867343 39579869511 39809717766 40720127112 40780686492 41851241754 42872003748 44113471038 45189409356 45234136584 46444670727 47506814964 48826448713 50074750908 51465716211 51815823124 52773159348 53079623688 53808739398 55801655672 58817961384 59714576649 61926227636 62776862631 64308005622 66170206557 68245230456 68620954948 71260222446 71744985864 75623093208 77723734686 79159739022 79619435532 81561372984 83702483508 85744007496 88226942076 90378818712 90677690467 92889341454 95013629928 97652897426 100149501816 102931432422 103631646248 105546318696 107617478796 116585602029 119429153298 123852455272 125553725262 128616011244 132340413114 137241909896 139334012181 142520444892 146479346139 154397148633 155447469372 158319478044 159238871064 167404967016 176453884152 181355380934 185778682908 188330587893 195305794852 205862864844 215234957592 233171204058 238858306596 251107450524 257232022488 264680826228 272033071401 278668024362 285040889784 292958692278 308794297266 310894938744 316638956088 349756806087 362710761868 371557365816 376661175786 390611589704 411725729688 418002036543 439438038417 463191445899 466342408116 477716613192 502214901048 529361652456 544066142802 557336048724 585917384556 617588594532 634743833269 699513612174 725421523736 753322351572 816099214203 836004073086 878876076834 926382891798 932684816232 1088132285604 1114672097448 1171834769112 1235177189064 1269487666538 1318314115251 1399027224348 1506644703144 1632198428406 1672008146172 1757752153668 1852765783596 1904231499807 2176264571208 2448297642609 2538975333076 2636628230502 2798054448696 3264396856812 3344016292344 3515504307336 3705531567192 3808462999614 4896595285218 5077950666152 5273256461004 5712694499421 6528793713624 7616925999228 9793190570436 10546512922008 11425388998842 15233851998456 17138083498263 19586381140872 22850777997684 34276166996526 45701555995368 68552333993052 137104667986104
- Sum of all divisors σ(n): 503759496391200
- Sum of proper divisors (its aliquot sum) s(n): 366654828405096
- 137104667986104 is an abundant number, because the sum of its proper divisors (366654828405096) is greater than itself. Its abundance is 229550160418992
Bases of 137104667986104
- Binary: 111110010110010001010110000100001001000101110002
- Hexadecimal: 0x7CB22B0848B8
- Base-36: 1CLL0JDQ60
Squares and roots of 137104667986104
- 137104667986104 squared (1371046679861042) is 18797689983579811067137098816
- 137104667986104 cubed (1371046679861043) is 2577251044104422747850732589061935962852864
-
The
square root of 137104667986104 is 11709170.2518198957 -
The
cube root of 137104667986104 is 51564.4924259507
Scales and comparisons
How big is 137104667986104?- 137,104,667,986,104 seconds is equal to 4,359,504 years, 18 weeks, 1 day, 4 hours, 8 minutes, 24 seconds.
-
To count from 1 to 137,104,667,986,104 would take you about ten million, eight hundred ninety-eight thousand, seven hundred sixty 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 137104667986104 cubic inches would be around 4297 feet tall.
Recreational maths with 137104667986104
- 137104667986104 backwards is 401689766401731
- 137104667986104 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137104667986104's digits is 63
- More coming soon!
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"Number 137104667986104 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 137104667986104 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/137104667986104/
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The information we have on file for 137104667986104 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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