137969263013616

Names of 137969263013616

• Cardinal: 137969263013616 can be written as One hundred thirty-seven trillion, nine hundred sixty-nine billion, two hundred sixty-three million, thirteen thousand, six hundred sixteen.

Scientific notation

• Scientific notation: 1.37969263013616 × 10¹⁴

Factors of 137969263013616

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 73

Divisors of 137969263013616

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 31 36 37 48 54 62 72 74 81 93 108 111 124 144 148 162 186 216 222 243 248 279 296 324 333 372 432 444 486 496 558 592 648 666 729 744 837 888 961 972 999 1116 1147 1296 1332 1369 1458 1488 1674 1776 1922 1944 1998 2187 2232 2294 2511 2664 2738 2883 2916 2997 3348 3441 3844 3888 3996 4107 4374 4464 4588 5022 5328 5476 5766 5832 5994 6561 6696 6882 7533 7688 7992 8214 8649 8748 8991 9176 10044 10323 10952 11532 11664 11988 12321 13122 13392 13764 15066 15376 15984 16428 17298 17496 17982 18352 19683 20088 20646 21904 22599 23064 23976 24642 25947 26244 26973 27528 30132 30969 32856 34596 34992 35557 35964 36963 39366 40176 41292 42439 45198 46128 47952 49284 50653 51894 52488 53946 55056 59049 60264 61938 65712 67797 69192 71114 71928 73926 77841 78732 80919 82584 84878 90396 92907 98568 101306 103788 104976 106671 107892 110889 118098 120528 123876 127317 135594 138384 142228 143856 147852 151959 155682 157464 161838 165168 169756 177147 180792 185814 197136 202612 203391 207576 213342 215784 221778 233523 236196 242757 247752 254634 271188 278721 284456 295704 303918 311364 314928 320013 323676 332667 339512 354294 361584 371628 381951 405224 406782 415152 426684 431568 443556 455877 467046 472392 485514 495504 509268 542376 557442 568912 591408 607836 610173 622728 640026 647352 665334 679024 700569 708588 728271 743256 763902 810448 813564 836163 853368 887112 911754 934092 944784 960039 971028 998001 1018536 1084752 1114884 1145853 1215672 1220346 1245456 1280052 1294704 1315609 1330668 1367631 1401138 1417176 1456542 1486512 1527804 1570243 1627128 1672326 1706736 1774224 1823508 1830519 1868184 1920078 1942056 1996002 2037072 2101707 2184813 2229768 2291706 2431344 2440692 2508489 2560104 2631218 2661336 2735262 2802276 2834352 2880117 2913084 2994003 3055608 3140486 3254256 3344652 3437559 3647016 3661038 3736368 3840156 3884112 3946827 3992004 4102893 4203414 4369626 4459536 4583412 4710729 4881384 5016978 5120208 5262436 5322672 5470524 5491557 5604552 5760234 5826168 5988006 6111216 6280972 6305121 6554439 6689304 6875118 7294032 7322076 7525467 7680312 7893654 7984008 8205786 8406828 8640351 8739252 8982009 9166824 9421458 9762768 10033956 10312677 10524872 10941048 10983114 11209104 11520468 11652336 11840481 11976012 12308679 12561944 12610242 13108878 13378608 13750236 14132187 14644152 15050934 15360624 15787308 15968016 16411572 16813656 17280702 17478504 17964018 18333648 18842916 18915363 20067912 20625354 21049744 21882096 21966228 22576401 23040936 23680962 23952024 24617358 25123888 25220484 25921053 26217756 26946027 27500472 28264374 29288304 30101868 30938031 31574616 32823144 33627312 34561404 34957008 35521443 35928036 36926037 37685832 37830726 40135824 41250708 42396561 43932456 45152802 46081872 47361924 47904048 48677533 49234716 50440968 51842106 52435512 53892054 55000944 56528748 56746089 60203736 61876062 63149232 65646288 67729203 69122808 71042886 71856072 73852074 75371664 75661452 77763159 80838081 82501416 84793122 87864912 90305604 92814093 94723848 97355066 98469432 100881936 103684212 104871024 106564329 107784108 110778111 113057496 113492178 120407472 123752124 127189683 135458406 138245616 142085772 143712144 146032599 147704148 151322904 155526318 161676162 165002832 169586244 170238267 180611208 185628186 189447696 194710132 196938864 203187609 207368424 213128658 215568216 221556222 226114992 226984356 233289477 242514243 247504248 254379366 270916812 278442279 284171544 292065198 295408296 302645808 311052636 319692987 323352324 332334333 339172488 340476534 361222416 371256372 381569049 389420264 406375218 414736848 426257316 431136432 438097797 443112444 453968712 466578954 485028486 495008496 508758732 541833624 556884558 568343088 584130396 590816592 622105272 639385974 646704648 664668666 678344976 680953068 699868431 742512744 763138098 778840528 812750436 835326837 852514632 876195594 886224888 907937424 933157908 959078961 970056972 997002999 1017517464 1083667248 1113769116 1144707147 1168260792 1244210544 1278771948 1293409296 1314293391 1329337332 1361906136 1399736862 1485025488 1526276196 1625500872 1670653674 1705029264 1752391188 1772449776 1866315816 1918157922 1940113944 1994005998 2035034928 2099605293 2227538232 2289414294 2336521584 2505980511 2557543896 2628586782 2658674664 2723812272 2799473724 2877236883 2991008997 3052552392 3251001744 3341307348 3434121441 3504782376 3732631632 3836315844 3880227888 3942880173 3988011996 4199210586 4455076464 4578828588 5011961022 5115087792 5257173564 5317349328 5598947448 5754473766 5982017994 6105104784 6298815879 6682614696 6868242882 7009564752 7517941533 7672631688 7885760346 7976023992 8398421172 8631710649 8973026991 9157657176 10023922044 10302364323 10514347128 11197894896 11508947532 11828640519 11964035988 12597631758 13365229392 13736485764 15035883066 15345263376 15771520692 15952047984 16796842344 17263421298 17946053982 18315314352 20047844088 20604728646 21028694256 23017895064 23657281038 23928071976 25195263516 25895131947 27472971528 30071766132 30907092969 31543041384 33593684688 34526842596 35485921557 35892107964 40095688176 41209457292 46035790128 47314562076 47856143952 50390527032 51790263894 54945943056 60143532264 61814185938 63086082768 69053685192 70971843114 71784215928 77685395841 82418914584 92721278907 94629124152 100781054064 103580527788 106457764671 120287064528 123628371876 138107370384 141943686228 143568431856 155370791682 164837829168 185442557814 189258248304 207161055576 212915529342 233056187523 247256743752 278163836721 283887372456 310741583364 319373294013 370885115628 414322111152 425831058684 466112375046 494513487504 556327673442 567774744912 621483166728 638746588026 741770231256 851662117368 932224750092 958119882039 1112655346884 1242966333456 1277493176052 1483540462512 1703324234736 1864449500184 1916239764078 2225310693768 2554986352104 2874359646117 3728899000368 3832479528156 4450621387536 5109972704208 5748719292234 7664959056312 8623078938351 11497438584468 15329918112624 17246157876702 22994877168936 34492315753404 45989754337872 68984631506808 137969263013616
• Sum of all divisors σ(n): 425833035045600
• Sum of proper divisors (its aliquot sum) s(n): 287863772031984
• 137969263013616 is an abundant number, because the sum of its proper divisors (287863772031984) is greater than itself. Its abundance is 149894509018368

Bases of 137969263013616

• Binary: 11111010111101101111000111010010110111011110000₂
• Hexadecimal: 0x7D7B78E96EF0
• Base-36: 1CWM7CXR00

Squares and roots of 137969263013616

• 137969263013616 squared (137969263013616²) is 19035517536520347970201395456
• 137969263013616 cubed (137969263013616³) is 2626316325596475600729493550598131128528896
• The square root of 137969263013616 is 11746031.7985954729
• The cube root of 137969263013616 is 51672.6555729375

Scales and comparisons

• 137,969,263,013,616 seconds is equal to 4,386,995 years, 41 weeks, 3 days, 1 hour, 33 minutes, 36 seconds.
• To count from 1 to 137,969,263,013,616 would take you about ten million, nine hundred sixty-seven thousand, four hundred eighty-nine 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 137969263013616 cubic inches would be around 4306.1 feet tall.

Recreational maths with 137969263013616

• 137969263013616 backwards is 616310362969731
• The number of decimal digits it has is: 15
• The sum of 137969263013616's digits is 63
• More coming soon!