137791300742016
137,791,300,742,016 is an even composite number composed of six prime numbers multiplied together.
137791300742016 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 137791300742016:
27 × 3 × 192 × 61 × 409 × 39841
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 19 × 19 × 61 × 409 × 39841)See below for interesting mathematical facts about the number 137791300742016 from the Numbermatics database.
Names of 137791300742016
- Cardinal: 137791300742016 can be written as One hundred thirty-seven trillion, seven hundred ninety-one billion, three hundred million, seven hundred forty-two thousand and sixteen.
Scientific notation
- Scientific notation: 1.37791300742016 × 1014
Factors of 137791300742016
Divisors of 137791300742016
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 6 8 12 16 19 24 32 38 48 57 61 64 76 96 114 122 128 152 183 192 228 244 304 361 366 384 409 456 488 608 722 732 818 912 976 1083 1159 1216 1227 1444 1464 1636 1824 1952 2166 2318 2432 2454 2888 2928 3272 3477 3648 3904 4332 4636 4908 5776 5856 6544 6954 7296 7771 7808 8664 9272 9816 11552 11712 13088 13908 15542 17328 18544 19632 22021 23104 23313 23424 24949 26176 27816 31084 34656 37088 39264 39841 44042 46208 46626 49898 52352 55632 62168 66063 69312 74176 74847 78528 79682 88084 93252 99796 111264 119523 124336 132126 138624 147649 148352 149694 157056 159364 176168 186504 199592 222528 239046 248672 264252 295298 299388 318728 352336 373008 399184 442947 445056 474031 478092 497344 528504 590596 598776 637456 704672 746016 756979 798368 885894 948062 956184 994688 1057008 1181192 1197552 1274912 1409344 1422093 1492032 1513958 1596736 1771788 1896124 1912368 2114016 2270937 2362384 2395104 2430301 2549824 2818688 2844186 2984064 3027916 3193472 3543576 3792248 3824736 4228032 4541874 4724768 4790208 4860602 5099648 5688372 6055832 7087152 7290903 7584496 7649472 8456064 9006589 9083748 9449536 9580416 9721204 11376744 12111664 14174304 14382601 14581806 15168992 15298944 16294969 18013178 18167496 18899072 19442408 22753488 24223328 27019767 28348608 28765202 29163612 30337984 32589938 36026356 36334992 38884816 43147803 45506976 46175719 48446656 48884907 54039534 56697216 57530404 58327224 60675968 65179876 72052712 72669984 77769632 86295606 91013952 92351438 96893312 97769814 108079068 115060808 116654448 130359752 138527157 144105424 145339968 155539264 172591212 182027904 184702876 195539628 216158136 230121616 233308896 260719504 277054314 288210848 290679936 309604411 311078528 345182424 369405752 391079256 432316272 460243232 466617792 521439008 554108628 576421696 619208822 690364848 738811504 782158512 864632544 877338661 920486464 928813233 933235584 993993109 1042878016 1108217256 1152843392 1238417644 1380729696 1477623008 1564317024 1729265088 1754677322 1840972928 1857626466 1987986218 2085756032 2216434512 2476835288 2632015983 2761459392 2955246016 2981979327 3128634048 3458530176 3509354644 3715252932 3975972436 4432869024 4953670576 5264031966 5522918784 5882483809 5910492032 5963958654 6257268096 7018709288 7430505864 7951944872 8865738048 9907341152 10528063932 11764967618 11927917308 14037418576 14861011728 15903889744 17647451427 17731476096 18885869071 19814682304 21056127864 23529935236 23855834616 28074837152 29722023456 31807779488 35294902854 37771738142 39629364608 42112255728 47059870472 47711669232 56149674304 56657607213 59444046912 63615558976 70589805708 75543476284 84224511456 94119740944 95423338464 112299348608 113315214426 118888093824 127231117952 141179611416 151086952568 168449022912 188239481888 190846676928 226630428852 282359222832 302173905136 336898045824 358831512349 376478963776 381693353856 453260857704 564718445664 604347810272 717663024698 752957927552 906521715408 1076494537047 1129436891328 1208695620544 1435326049396 1813043430816 2152989074094 2258873782656 2417391241088 2870652098792 3626086861632 4305978148188 5741304197584 7252173723264 8611956296376 11482608395168 17223912592752 22965216790336 34447825185504 45930433580672 68895650371008 137791300742016
- Sum of all divisors σ(n): 393587978176800
- Sum of proper divisors (its aliquot sum) s(n): 255796677434784
- 137791300742016 is an abundant number, because the sum of its proper divisors (255796677434784) is greater than itself. Its abundance is 118005376692768
Bases of 137791300742016
- Binary: 111110101010010000010011000100010101011100000002
- Hexadecimal: 0x7D520988AB80
- Base-36: 1CUCG6SNEO
Squares and roots of 137791300742016
- 137791300742016 squared (1377913007420162) is 18986442560176699072187744256
- 137791300742016 cubed (1377913007420163) is 2616166616830319757597616663850234041860096
-
The
square root of 137791300742016 is 11738453.9332067065 -
The
cube root of 137791300742016 is 51650.4290286933
Scales and comparisons
How big is 137791300742016?- 137,791,300,742,016 seconds is equal to 4,381,337 years, 7 weeks, 4 days, 13 hours, 13 minutes, 36 seconds.
-
To count from 1 to 137,791,300,742,016 would take you about ten million, nine hundred fifty-three thousand, three hundred forty-two 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 137791300742016 cubic inches would be around 4304.2 feet tall.
Recreational maths with 137791300742016
- 137791300742016 backwards is 610247003197731
- The number of decimal digits it has is: 15
- The sum of 137791300742016's digits is 51
- More coming soon!
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