137768104935424
137,768,104,935,424 is an even composite number composed of five prime numbers multiplied together.
137768104935424 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five hundred forty divisors.
Prime factorization of 137768104935424:
214 × 17 × 232 × 372 × 683
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 17 × 23 × 23 × 37 × 37 × 683)See below for interesting mathematical facts about the number 137768104935424 from the Numbermatics database.
Names of 137768104935424
- Cardinal: 137768104935424 can be written as One hundred thirty-seven trillion, seven hundred sixty-eight billion, one hundred four million, nine hundred thirty-five thousand, four hundred twenty-four.
Scientific notation
- Scientific notation: 1.37768104935424 × 1014
Factors of 137768104935424
Divisors of 137768104935424
- Number of divisors d(n): 540
-
Complete list of divisors:
1 2 4 8 16 17 23 32 34 37 46 64 68 74 92 128 136 148 184 256 272 296 368 391 512 529 544 592 629 683 736 782 851 1024 1058 1088 1184 1258 1366 1369 1472 1564 1702 2048 2116 2176 2368 2516 2732 2738 2944 3128 3404 4096 4232 4352 4736 5032 5464 5476 5888 6256 6808 8192 8464 8704 8993 9472 10064 10928 10952 11611 11776 12512 13616 14467 15709 16384 16928 17408 17986 18944 19573 20128 21856 21904 23222 23273 23552 25024 25271 27232 28934 31418 31487 33856 34816 35972 37888 39146 40256 43712 43808 46444 46546 47104 50048 50542 54464 57868 62836 62974 67712 69632 71944 75776 78292 80512 87424 87616 92888 93092 94208 100096 101084 108928 115736 125672 125948 135424 139264 143888 151552 156584 161024 174848 175232 185776 186184 188416 200192 202168 217856 231472 251344 251896 267053 270848 278528 287776 303104 313168 322048 332741 349696 350464 361307 371552 372368 376832 400384 404336 429607 435712 462944 502688 503792 534106 535279 541696 575552 581233 606208 626336 644096 665482 699392 700928 722614 724201 743104 744736 800768 808672 859214 871424 925888 935027 1005376 1007584 1068212 1070558 1083392 1151104 1162466 1252672 1288192 1330964 1398784 1401856 1445228 1448402 1486208 1489472 1601536 1617344 1718428 1742848 1851776 1870054 2010752 2015168 2136424 2141116 2166784 2302208 2324932 2505344 2576384 2661928 2797568 2803712 2890456 2896804 2972416 2978944 3203072 3234688 3436856 3485696 3703552 3740108 4021504 4030336 4272848 4282232 4333568 4604416 4649864 5010688 5152768 5323856 5595136 5607424 5780912 5793608 5944832 5957888 6142219 6406144 6469376 6873712 6971392 7407104 7480216 8043008 8060672 8545696 8564464 8667136 9208832 9299728 9880961 10021376 10305536 10647712 11190272 11214848 11561824 11587216 11889664 11915776 12284438 12311417 12938752 13368359 13747424 13942784 14814208 14960432 15895459 16086016 16121344 17091392 17128928 18417664 18599456 19761922 20042752 21295424 21505621 22429696 23123648 23174432 23779328 23831552 24568876 24622834 25877504 26736718 27494848 29628416 29920864 31790918 32172032 32242688 34182784 34257856 36835328 37198912 39523844 40085504 42590848 43011242 46247296 46348864 47558656 47663104 49137752 49245668 51755008 53473436 54989696 59256832 59841728 63581836 64344064 64485376 68365568 68515712 73670656 74397824 79047688 80171008 85181696 86022484 92494592 92697728 95117312 95326208 98275504 98491336 103510016 106946872 109979392 118513664 119683456 127163672 128688128 128970752 136731136 137031424 147341312 148795648 158095376 160342016 170363392 172044968 184989184 185395456 190234624 190652416 196551008 196982672 207020032 213893744 219958784 227262103 237027328 239366912 254327344 257376256 257941504 273462272 274062848 297591296 316190752 320684032 340726784 344089936 365595557 369978368 370790912 381304832 393102016 393965344 414040064 427787488 439917568 454524206 478733824 494629283 508654688 515883008 546924544 548125696 595182592 632381504 681453568 688179872 731191114 739956736 741581824 786204032 787930688 855574976 879835136 909048412 957467648 989258566 1017309376 1093849088 1096251392 1190365184 1264763008 1362907136 1376359744 1462382228 1479913472 1483163648 1572408064 1575861376 1711149952 1759670272 1818096824 1914935296 1978517132 2034618752 2187698176 2192502784 2380730368 2529526016 2725814272 2752719488 2924764456 2959826944 2966327296 3144816128 3151722752 3422299904 3519340544 3636193648 3829870592 3957034264 4069237504 4375396352 4385005568 4761460736 5059052032 5451628544 5505438976 5849528912 5919653888 5932654592 6289632256 6303445504 6844599808 7038681088 7272387296 7659741184 7914068528 8138475008 8408697811 8770011136 9522921472 10118104064 11010877952 11699057824 11865309184 12579264512 12606891008 13689199616 14544774592 15319482368 15828137056 16276950016 16817395622 20236208128 22021755904 23398115648 25158529024 25213782016 27378399232 29089549184 31656274112 32553900032 33634791244 40472416256 44043511808 46796231296 50317058048 50427564032 54756798464 58179098368 63312548224 65107800064 67269582488 80944832512 88087023616 93592462592 100634116096 100855128064 109513596928 116358196736 126625096448 130215600128 134539164976 161889665024 176174047232 187184925184 201710256128 219027193856 232716393472 253250192896 260431200256 269078329952 352348094464 374369850368 465432786944 506500385792 538156659904 748739700736 930865573888 1013000771584 1076313319808 1497479401472 1861731147776 2026001543168 2152626639616 2994958802944 3723462295552 4052003086336 4305253279232 5989917605888 8104006172672 8610506558464 17221013116928 34442026233856 68884052467712 137768104935424
- Sum of all divisors σ(n): 313895085850584
- Sum of proper divisors (its aliquot sum) s(n): 176126980915160
- 137768104935424 is an abundant number, because the sum of its proper divisors (176126980915160) is greater than itself. Its abundance is 38358875979736
Bases of 137768104935424
- Binary: 111110101001100101000101111010011000000000000002
- Hexadecimal: 0x7D4CA2F4C000
- Base-36: 1CU1SKM0HS
Squares and roots of 137768104935424
- 137768104935424 squared (1377681049354242) is 18980050737497998707210059776
- 137768104935424 cubed (1377681049354243) is 2614845621683295966760109007759447659905024
-
The
square root of 137768104935424 is 11737465.8651441453 -
The
cube root of 137768104935424 is 51647.5305859277
Scales and comparisons
How big is 137768104935424?- 137,768,104,935,424 seconds is equal to 4,380,599 years, 30 weeks, 5 days, 13 hours, 37 minutes, 4 seconds.
-
To count from 1 to 137,768,104,935,424 would take you about ten million, nine hundred fifty-one thousand, four hundred ninety-eight 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 137768104935424 cubic inches would be around 4304 feet tall.
Recreational maths with 137768104935424
- 137768104935424 backwards is 424539401867731
- 137768104935424 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137768104935424's digits is 64
- More coming soon!
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