137474707968
137,474,707,968 is an even composite number composed of six prime numbers multiplied together.
137474707968 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 137474707968:
29 × 32 × 13 × 23 × 113 × 883
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 23 × 113 × 883)See below for interesting mathematical facts about the number 137474707968 from the Numbermatics database.
Names of 137474707968
- Cardinal: 137474707968 can be written as One hundred thirty-seven billion, four hundred seventy-four million, seven hundred seven thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.37474707968 × 1011
Factors of 137474707968
Divisors of 137474707968
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 23 24 26 32 36 39 46 48 52 64 69 72 78 92 96 104 113 117 128 138 144 156 184 192 207 208 226 234 256 276 288 299 312 339 368 384 414 416 452 468 512 552 576 598 624 678 736 768 828 832 883 897 904 936 1017 1104 1152 1196 1248 1356 1469 1472 1536 1656 1664 1766 1794 1808 1872 2034 2208 2304 2392 2496 2599 2649 2691 2712 2938 2944 3312 3328 3532 3588 3616 3744 4068 4407 4416 4608 4784 4992 5198 5298 5382 5424 5876 5888 6624 6656 7064 7176 7232 7488 7797 7947 8136 8814 8832 9568 9984 10396 10596 10764 10848 11479 11752 11776 13221 13248 14128 14352 14464 14976 15594 15894 16272 17628 17664 19136 19968 20309 20792 21192 21528 21696 22958 23391 23504 26442 26496 28256 28704 28928 29952 31188 31788 32544 33787 34437 35256 35328 38272 40618 41584 42384 43056 43392 45916 46782 47008 52884 52992 56512 57408 57856 59904 60927 62376 63576 65088 67574 68874 70512 76544 81236 83168 84768 86112 86784 91832 93564 94016 99779 101361 103311 105768 105984 113024 114816 121854 124752 127152 130176 135148 137748 141024 153088 162472 166336 169536 172224 173568 182781 183664 187128 188032 199558 202722 206622 211536 226048 229632 243708 249504 254304 260352 264017 270296 275496 282048 299337 304083 324944 332672 339072 344448 365562 367328 374256 376064 399116 405444 413244 423072 452096 459264 487416 499008 508608 520704 528034 540592 550992 564096 598674 608166 649888 665344 678144 688896 731124 734656 748512 752128 792051 798232 810888 826488 846144 898011 974832 998016 1017216 1056068 1081184 1101984 1128192 1197348 1216332 1297127 1299776 1330688 1356288 1377792 1462248 1469312 1497024 1584102 1596464 1621776 1652976 1692288 1796022 1949664 1996032 2034432 2112136 2162368 2203968 2256384 2294917 2376153 2394696 2432664 2594254 2599552 2924496 2938624 2994048 3168204 3192928 3243552 3305952 3384576 3592044 3891381 3899328 3992064 4068864 4224272 4324736 4407936 4589834 4752306 4789392 4865328 5188508 5199104 5848992 5877248 5988096 6336408 6385856 6487104 6611904 6769152 6884751 7184088 7782762 7798656 8448544 8649472 8815872 9179668 9504612 9578784 9730656 10377016 10398208 11674143 11697984 11976192 12672816 12771712 12974208 13223808 13769502 14368176 15565524 15597312 16897088 17298944 17631744 18359336 19009224 19157568 19461312 20654253 20754032 23348286 23395968 25345632 25543424 25948416 26447616 27539004 28736352 29833921 31131048 31194624 33794176 36718672 38018448 38315136 38922624 41308506 41508064 46696572 46791936 50691264 51086848 51896832 52895232 55078008 57472704 59667842 62262096 67588352 73437344 76036896 76630272 77845248 82617012 83016128 89501763 93393144 93583872 101382528 110156016 114945408 119335684 124524192 135176704 146874688 152073792 153260544 155690496 165234024 166032256 179003526 186786288 202765056 220312032 229890816 238671368 249048384 268505289 293749376 304147584 330468048 332064512 358007052 373572576 405530112 440624064 459781632 477342736 498096768 537010578 587498752 608295168 660936096 664129024 716014104 747145152 881248128 954685472 996193536 1074021156 1174997504 1216590336 1321872192 1432028208 1494290304 1762496256 1909370944 1992387072 2148042312 2643744384 2864056416 2988580608 3524992512 3818741888 4296084624 5287488768 5728112832 5977161216 7637483776 8592169248 10574977536 11456225664 15274967552 17184338496 22912451328 34368676992 45824902656 68737353984 137474707968
- Sum of all divisors σ(n): 450313928064
- Sum of proper divisors (its aliquot sum) s(n): 312839220096
- 137474707968 is an abundant number, because the sum of its proper divisors (312839220096) is greater than itself. Its abundance is 175364512128
Bases of 137474707968
- Binary: 100000000000100010000110010010000000002
- Hexadecimal: 0x2002219200
- Base-36: 1R5KW3K0
Squares and roots of 137474707968
- 137474707968 squared (1374747079682) is 18899295330886882689024
- 137474707968 cubed (1374747079683) is 2598175106414660128115448958943232
-
The
square root of 137474707968 is 370775.8190173679 -
The
cube root of 137474707968 is 5161.0840916735
Scales and comparisons
How big is 137474707968?- 137,474,707,968 seconds is equal to 4,371 years, 14 weeks, 10 hours, 52 minutes, 48 seconds.
-
To count from 1 to 137,474,707,968 would take you about eight thousand, seven 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 137474707968 cubic inches would be around 430.1 feet tall.
Recreational maths with 137474707968
- 137474707968 backwards is 869707474731
- The number of decimal digits it has is: 12
- The sum of 137474707968's digits is 63
- More coming soon!
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