138630442368
138,630,442,368 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138630442368 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 768 divisors.
138630442368 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 138630442368:
27 × 3 × 11 × 172 × 19 × 43 × 139
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 17 × 17 × 19 × 43 × 139)See below for interesting mathematical facts about the number 138630442368 from the Numbermatics database.
Names of 138630442368
- Cardinal: 138630442368 can be written as One hundred thirty-eight billion, six hundred thirty million, four hundred forty-two thousand, three hundred sixty-eight.
Scientific notation
- Scientific notation: 1.38630442368 × 1011
Factors of 138630442368
Divisors of 138630442368
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 6 8 11 12 16 17 19 22 24 32 33 34 38 43 44 48 51 57 64 66 68 76 86 88 96 102 114 128 129 132 136 139 152 172 176 187 192 204 209 228 258 264 272 278 289 304 323 344 352 374 384 408 417 418 456 473 516 528 544 556 561 578 608 627 646 688 704 731 748 816 817 834 836 867 912 946 969 1032 1056 1088 1112 1122 1156 1216 1254 1292 1376 1408 1419 1462 1496 1529 1632 1634 1668 1672 1734 1824 1892 1938 2064 2112 2176 2193 2224 2244 2312 2363 2432 2451 2508 2584 2641 2752 2838 2924 2992 3058 3179 3264 3268 3336 3344 3468 3553 3648 3784 3876 4128 4224 4386 4448 4488 4587 4624 4726 4902 5016 5168 5282 5491 5504 5676 5848 5977 5984 6116 6358 6528 6536 6672 6688 6936 7089 7106 7296 7568 7752 7923 8041 8256 8772 8896 8976 8987 9174 9248 9452 9537 9804 10032 10336 10564 10659 10982 11352 11696 11954 11968 12232 12427 12716 13072 13344 13376 13872 13889 14178 14212 15136 15504 15846 16082 16473 16512 17544 17792 17931 17952 17974 18348 18496 18904 19074 19608 20064 20672 21128 21318 21964 22704 23392 23908 23936 24123 24464 24854 25432 25993 26144 26688 26752 26961 27744 27778 28356 28424 29051 30272 31008 31692 32164 32946 35088 35862 35904 35948 36696 36992 37281 37808 38148 39216 40128 40171 41344 41667 42256 42636 43928 44897 45408 46784 47816 48246 48928 49708 50864 51986 52288 53376 53922 55488 55556 56712 56848 58102 60401 60544 62016 63384 64328 65747 65892 70176 71724 71808 71896 73392 74562 75616 76296 77979 78432 80256 80342 83334 84512 85272 87153 87856 89794 90816 93568 95632 96492 97856 99416 101609 101728 103972 104576 107844 110976 111112 113424 113563 113696 116204 120513 120802 124032 126768 128656 131494 131784 134691 136697 140352 143448 143792 146784 149124 151232 152592 152779 155958 156864 160684 166668 169024 170544 174306 175712 179588 181203 181632 191264 192984 195712 197241 198832 203218 203456 207944 215688 222224 226848 227126 227392 232408 236113 241026 241604 253536 257312 262988 263568 269382 273394 280704 286896 287584 293568 298248 302464 304827 305184 305558 311916 313728 321368 333336 338048 340689 341088 348612 351424 359176 362406 382528 385968 394482 397664 406436 406912 410091 415888 431376 441881 444448 453696 454252 454784 458337 464816 472226 482052 483208 493867 507072 514624 525976 527136 538764 546788 573792 575168 587136 596496 609654 610368 611116 623832 642736 666672 681378 682176 697224 702848 708339 718352 724812 763249 765056 771936 788964 795328 812872 820182 831776 862752 883762 888896 907392 908504 916674 929632 944452 964104 966416 987734 1014144 1029248 1051952 1054272 1077528 1093576 1117699 1147584 1150336 1192992 1219308 1220736 1222232 1247664 1249193 1285472 1325643 1333344 1362756 1364352 1394448 1416678 1436704 1449624 1481601 1526498 1543872 1577928 1590656 1625744 1640364 1663552 1725504 1727353 1767524 1777792 1817008 1833348 1859264 1888904 1928208 1930571 1932832 1975468 2103904 2108544 2155056 2187152 2235398 2289747 2295168 2385984 2438616 2444464 2495328 2498386 2570944 2597243 2651286 2666688 2725512 2788896 2833356 2873408 2899248 2963202 3052996 3087744 3155856 3251488 3280728 3327104 3353097 3451008 3454706 3535048 3634016 3666696 3718528 3747579 3777808 3856416 3861142 3865664 3950936 4207808 4310112 4374304 4470796 4579494 4771968 4877232 4888928 4990656 4996772 5141888 5182059 5194486 5302572 5333376 5451024 5577792 5666712 5746816 5791713 5798496 5926404 6105992 6311712 6502976 6561456 6706194 6909412 7070096 7268032 7333392 7495158 7555616 7712832 7722284 7731328 7791729 7901872 8395739 8415616 8620224 8748608 8941592 9158988 9754464 9777856 9981312 9993544 10364118 10388972 10605144 10902048 11155584 11333424 11583426 11596992 11852808 12211984 12623424 13005952 13122912 13412388 13818824 14140192 14536064 14666784 14990316 15111232 15425664 15444568 15583458 15803744 16791478 17240448 17497216 17883184 18317976 19000883 19508928 19555712 19987088 20728236 20777944 21210288 21236281 21804096 22666848 23166852 23193984 23705616 24423968 25187217 25246848 26245824 26824776 27637648 28280384 29333568 29980632 30222464 30889136 31166916 31607488 32819707 33582956 35766368 36635952 38001766 39017856 39974176 41456472 41555888 42420576 42472562 43608192 45333696 46333704 47411232 48847936 50374434 52491648 53649552 55275296 56560768 57002649 58667136 59961264 61778272 62333832 63214976 63708843 65639414 67165912 71532736 73271904 76003532 79948352 82912944 83111776 84841152 84945124 90667392 92667408 94822464 97695872 98459121 100748868 107299104 110550592 114005298 119922528 123556544 124667664 127417686 131278828 134331824 143065472 146543808 152007064 159896704 165825888 166223552 169682304 169890248 185334816 189644928 196918242 201497736 214598208 221101184 228010596 239845056 247113088 249335328 254835372 262557656 268663648 293087616 304014128 331651776 332447104 339780496 361016777 370669632 393836484 402995472 429196416 456021192 479690112 498670656 509670744 525115312 537327296 608028256 663303552 679560992 722033554 741339264 787672968 805990944 912042384 997341312 1019341488 1050230624 1074654592 1083050331 1216056512 1359121984 1444067108 1575345936 1611981888 1824084768 2038682976 2100461248 2166100662 2432113024 2718243968 2888134216 3150691872 3223963776 3648169536 4077365952 4200922496 4332201324 5776268432 6301383744 7296339072 8154731904 8664402648 11552536864 12602767488 17328805296 23105073728 34657610592 46210147456 69315221184 138630442368
- Sum of all divisors σ(n): 462946176000
- Sum of proper divisors (its aliquot sum) s(n): 324315733632
- 138630442368 is an abundant number, because the sum of its proper divisors (324315733632) is greater than itself. Its abundance is 185685291264
Bases of 138630442368
- Binary: 100000010001110000010010101101100000002
- Hexadecimal: 0x204704AD80
- Base-36: 1ROOZHXC
Squares and roots of 138630442368
- 138630442368 squared (1386304423682) is 19218399551147369447424
- 138630442368 cubed (1386304423683) is 2664255231380532468455916838060032
-
The
square root of 138630442368 is 372331.0924002991 -
The
cube root of 138630442368 is 5175.5066350259
Scales and comparisons
How big is 138630442368?- 138,630,442,368 seconds is equal to 4,408 years, 1 week, 12 minutes, 48 seconds.
-
To count from 1 to 138,630,442,368 would take you about eight thousand, eight hundred sixteen 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 138630442368 cubic inches would be around 431.3 feet tall.
Recreational maths with 138630442368
- 138630442368 backwards is 863244036831
- 138630442368 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138630442368's digits is 48
- More coming soon!
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The information we have on file for 138630442368 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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