138462972648
138,462,972,648 is an even composite number composed of seven prime numbers multiplied together.
138462972648 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138462972648:
23 × 3 × 73 × 112 × 13 × 172 × 37
(2 × 2 × 2 × 3 × 7 × 7 × 7 × 11 × 11 × 13 × 17 × 17 × 37)See below for interesting mathematical facts about the number 138462972648 from the Numbermatics database.
Names of 138462972648
- Cardinal: 138462972648 can be written as One hundred thirty-eight billion, four hundred sixty-two million, nine hundred seventy-two thousand, six hundred forty-eight.
Scientific notation
- Scientific notation: 1.38462972648 × 1011
Factors of 138462972648
Divisors of 138462972648
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 7 8 11 12 13 14 17 21 22 24 26 28 33 34 37 39 42 44 49 51 52 56 66 68 74 77 78 84 88 91 98 102 104 111 119 121 132 136 143 147 148 154 156 168 182 187 196 204 221 222 231 238 242 259 264 273 286 289 294 296 308 312 343 357 363 364 374 392 407 408 429 442 444 462 476 481 484 518 539 546 561 572 578 588 616 629 637 663 686 714 726 728 748 777 814 833 847 858 867 884 888 924 952 962 968 1001 1029 1036 1078 1092 1122 1144 1156 1176 1221 1258 1274 1309 1326 1372 1428 1443 1452 1496 1547 1554 1573 1617 1628 1666 1694 1716 1734 1768 1813 1848 1887 1911 1924 2002 2023 2057 2058 2072 2156 2184 2244 2312 2431 2442 2499 2516 2541 2548 2618 2652 2744 2849 2856 2886 2904 3003 3094 3108 3146 3179 3234 3256 3332 3367 3388 3432 3468 3626 3757 3773 3774 3822 3848 3927 4004 4046 4114 4116 4312 4403 4459 4477 4488 4641 4719 4862 4884 4998 5032 5082 5096 5236 5291 5304 5439 5698 5772 5831 5929 6006 6069 6171 6188 6216 6292 6358 6468 6664 6734 6776 6919 6936 7007 7252 7293 7514 7546 7548 7644 7854 8008 8092 8177 8228 8232 8547 8806 8918 8954 9163 9282 9438 9537 9724 9768 9996 10101 10164 10472 10582 10693 10829 10878 11011 11271 11319 11396 11544 11662 11858 12012 12138 12342 12376 12584 12691 12716 12936 13209 13377 13431 13468 13838 14014 14161 14399 14504 14586 15028 15092 15096 15288 15708 15873 16184 16354 16456 17017 17094 17493 17612 17787 17836 17908 18326 18564 18876 19074 19448 19943 19992 20202 20328 20757 21021 21164 21386 21658 21756 22022 22253 22542 22638 22792 23324 23569 23716 24024 24276 24531 24684 25382 25432 26299 26418 26741 26754 26862 26936 27489 27676 28028 28322 28798 29172 30056 30184 30821 31339 31416 31746 32079 32487 32708 33033 34034 34188 34969 34986 35224 35574 35672 35816 36652 37037 37128 37752 38073 38148 39886 40404 41327 41503 41514 42042 42328 42483 42772 43197 43316 43512 44044 44506 45084 45276 46648 47138 47432 48433 48552 49049 49062 49368 50764 51051 52598 52836 53482 53508 53724 54978 55352 56056 56644 57239 57596 58201 58344 59829 61642 62678 63492 64141 64158 64974 65416 66066 66759 68068 68376 69938 69972 70707 71148 73304 74074 74851 75803 76109 76146 76296 77077 78897 79772 80223 80808 82654 83006 83028 84084 84966 85544 86394 86632 88088 89012 89947 90168 90552 92463 94017 94276 96866 98098 98124 99127 100793 101528 102102 104907 105196 105672 106964 107016 107448 109956 111111 113288 114478 115192 116402 117623 119119 119658 123284 123981 124509 125356 126984 128282 128316 129948 132132 133518 136136 139009 139601 139876 139944 141414 142296 145299 147147 148148 149702 151606 152218 152292 154154 155771 157794 159544 160446 164983 165308 166012 166056 168168 169932 171717 172788 174603 178024 179894 184093 184926 187187 188034 188552 192423 193732 196196 196248 198254 201586 204204 209814 210392 213928 215747 219373 219912 222222 224553 227409 228327 228956 231231 232804 235246 238238 239316 244783 246568 247962 249018 250712 256564 256632 259259 259896 264264 267036 269841 278018 279202 279752 282828 289289 290598 294294 296296 297381 299404 302379 303212 304436 304584 308308 311542 315588 320892 329966 330616 332024 339031 339864 343434 345576 349206 352869 357357 359788 368186 369852 374374 376068 384846 387464 392392 396508 400673 403172 407407 408408 417027 418803 419628 431494 438746 444444 449106 454597 454818 456654 457912 462462 465608 467313 470492 476476 478632 489566 494949 495924 498036 513128 518518 523957 532763 534072 539539 539682 552279 556036 558404 561561 565656 578578 581196 588588 594762 598808 604758 606424 608872 616616 623084 629629 631176 641784 647241 658119 659932 678062 686868 698412 705551 705738 714714 719576 734349 736372 739704 748748 752136 769692 777777 793016 801346 806344 814814 823361 833833 834054 837606 839256 862988 867867 877492 888888 898212 909194 909636 913308 924924 934626 940984 952952 973063 979132 989417 989898 991848 996072 1017093 1037036 1047914 1065526 1079078 1079364 1090397 1104558 1112072 1116808 1123122 1157156 1162392 1177176 1189524 1202019 1209516 1222221 1246168 1259258 1288651 1293853 1294482 1310309 1316238 1319864 1356124 1363791 1373736 1396824 1411102 1411476 1429428 1468698 1472744 1497496 1529099 1535611 1539384 1555554 1571871 1598289 1602692 1618617 1629628 1646722 1667666 1668108 1675212 1713481 1725976 1735734 1754984 1796424 1814813 1818388 1819272 1826616 1849848 1869252 1888887 1946126 1958264 1978834 1979796 2025023 2034186 2074072 2095828 2116653 2131052 2158156 2158728 2180794 2209116 2246244 2314312 2373217 2379048 2404038 2419032 2444442 2470083 2501499 2518516 2577302 2587706 2588964 2620618 2632476 2712248 2727582 2804711 2822204 2822952 2851849 2858856 2919189 2937396 2968251 3058198 3071222 3111108 3143742 3182179 3196578 3205384 3237234 3259256 3271191 3293444 3335332 3336216 3350424 3426962 3471468 3629626 3636776 3667699 3729341 3738504 3777774 3865953 3881559 3892252 3930927 3957668 3959592 4050046 4068372 4191656 4233306 4262104 4316312 4361588 4407403 4418232 4492488 4587297 4606833 4746434 4808076 4888884 4940166 5002998 5037032 5140443 5154604 5175412 5177928 5241236 5264952 5444439 5455164 5609422 5644408 5703698 5763527 5838378 5874792 5936502 6075069 6116396 6142444 6222216 6287484 6364358 6393156 6474468 6542382 6586888 6670664 6811441 6853924 6925919 6942936 7119651 7259252 7335398 7458682 7555548 7731906 7763118 7784504 7861854 7915336 8100092 8136744 8414133 8466612 8555547 8723176 8814806 9056971 9172163 9174594 9213666 9492868 9546537 9616152 9777768 9880332 10005996 10280886 10309208 10350824 10482472 10703693 10888878 10910328 11003097 11188023 11218844 11407396 11527054 11676756 11873004 11994367 12150138 12232792 12284888 12574968 12728716 12786312 12948936 13084764 13222209 13622882 13707848 13851838 14175161 14239302 14518504 14670796 14917364 15111096 15463812 15526236 15723708 16200184 16820089 16828266 16933224 17111094 17290581 17629612 18113942 18344326 18349188 18427332 18985736 19093074 19760664 19962943 20011992 20434323 20561772 20777757 21407386 21777756 22006194 22275253 22376046 22437688 22814792 23054108 23353512 23746008 23988734 24300276 25457432 26105387 26169528 26444418 27170913 27245764 27516489 27703676 28350322 28478604 29341592 29834728 30851821 30927624 31052472 31447416 32111079 33640178 33656532 34222188 34581162 35259224 35983101 36227884 36688652 36698376 36854664 38186148 39925886 40344689 40868646 41123544 41555514 42525483 42814772 43555512 44012388 44550506 44752092 46108216 47680087 47977468 48481433 48600552 50460267 52210774 52888836 54341826 54491528 55032978 55407352 56700644 56957208 59888829 61703642 63398797 64222158 66825759 67280356 67313064 68444376 69162324 71966202 72455768 73377304 74925851 76372296 78316161 79851772 80689378 81737292 83111028 85050966 85629544 88024776 89101012 89504184 92555463 95360174 95954936 96962866 100920534 104421548 105777672 108683652 110065956 113401288 117740623 119777658 121034067 123407284 126797594 128444316 133651518 134560712 138324648 143040261 143932404 145444299 149851702 155926771 156632322 159703544 161378756 163474584 166222056 170101932 178202024 185110926 190196391 190720348 193925732 201841068 208843096 217367304 220131912 224777553 235481246 239555316 242068134 246814568 253595188 256888632 267303036 286080522 287864808 290888598 299703404 311853542 313264644 322757512 339370031 340203864 353221869 370221852 380392782 381440696 387851464 403682136 443791579 449555106 467780313 470962492 479110632 484136268 507190376 524480957 534606072 572161044 581777196 599406808 623707084 626529288 678740062 706443738 740443704 760785564 824184361 887583158 899110212 935560626 941924984 968272536 1018110093 1048961914 1144322088 1163554392 1247414168 1331374737 1357480124 1412887476 1521571128 1573442871 1648368722 1775166316 1798220424 1871121252 2036220186 2097923828 2472553083 2662749474 2714960248 2825774952 3146885742 3296737444 3550332632 3742242504 4072440372 4195847656 4945106166 5325498948 5769290527 6293771484 6593474888 8144880744 9890212332 10650997896 11538581054 12587542968 17307871581 19780424664 23077162108 34615743162 46154324216 69231486324 138462972648
- Sum of all divisors σ(n): 521330208000
- Sum of proper divisors (its aliquot sum) s(n): 382867235352
- 138462972648 is an abundant number, because the sum of its proper divisors (382867235352) is greater than itself. Its abundance is 244404262704
Bases of 138462972648
- Binary: 100000001111010000100101001010111010002
- Hexadecimal: 0x203D094AE8
- Base-36: 1RLXA1GO
Squares and roots of 138462972648
- 138462972648 squared (1384629726482) is 19171994794520796131904
- 138462972648 cubed (1384629726483) is 2654611390841331375079007752161792
-
The
square root of 138462972648 is 372106.1308927871 -
The
cube root of 138462972648 is 5173.4217396671
Scales and comparisons
How big is 138462972648?- 138,462,972,648 seconds is equal to 4,402 years, 36 weeks, 16 hours, 50 minutes, 48 seconds.
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To count from 1 to 138,462,972,648 would take you about eight thousand, eight hundred 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 138462972648 cubic inches would be around 431.1 feet tall.
Recreational maths with 138462972648
- 138462972648 backwards is 846279264831
- The number of decimal digits it has is: 12
- The sum of 138462972648's digits is 60
- More coming soon!
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"Number 138462972648 - Facts about the integer". Numbermatics.com. 2024. Web. 4 May 2024.
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Numbermatics. (2024). Number 138462972648 - Facts about the integer. Retrieved 4 May 2024, from https://numbermatics.com/n/138462972648/
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The information we have on file for 138462972648 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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