137233234944

Names of 137233234944

• Cardinal: 137233234944 can be written as One hundred thirty-seven billion, two hundred thirty-three million, two hundred thirty-four thousand, nine hundred forty-four.

Scientific notation

• Scientific notation: 1.37233234944 × 10¹¹

Factors of 137233234944

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 179

Divisors of 137233234944

• Number of divisors d(n): 792
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 17 18 24 26 32 34 36 39 48 51 52 64 68 71 72 73 78 96 102 104 117 128 136 142 144 146 153 156 169 192 204 208 213 219 221 234 256 272 284 288 292 306 312 338 384 408 416 426 438 442 468 507 512 544 568 576 584 612 624 639 657 663 676 768 816 832 852 876 884 923 936 949 1014 1024 1088 1136 1152 1168 1207 1224 1241 1248 1278 1314 1326 1352 1521 1536 1632 1664 1704 1752 1768 1846 1872 1898 1989 2028 2176 2272 2304 2336 2414 2448 2482 2496 2556 2628 2652 2704 2769 2847 2873 3042 3072 3264 3328 3408 3504 3536 3621 3692 3723 3744 3796 3978 4056 4352 4544 4608 4672 4828 4896 4964 4992 5112 5183 5256 5304 5408 5538 5694 5746 6084 6528 6656 6816 7008 7072 7242 7384 7446 7488 7592 7956 8112 8307 8541 8619 8704 9088 9216 9344 9656 9792 9928 9984 10224 10366 10512 10608 10816 10863 11076 11169 11388 11492 11999 12168 12337 13056 13312 13632 14016 14144 14484 14768 14892 14976 15184 15549 15691 15912 16133 16224 16614 17082 17238 17408 18176 18688 19312 19584 19856 19968 20448 20732 21024 21216 21632 21726 22152 22338 22776 22984 23998 24336 24674 25857 26112 27264 28032 28288 28968 29536 29784 29952 30368 31098 31382 31824 32266 32448 33228 34164 34476 35997 36352 37011 37376 38624 39168 39712 39936 40896 41464 42048 42432 43264 43452 44304 44676 45552 45968 46647 47073 47996 48399 48672 49348 51714 52224 54528 56064 56576 57936 59072 59568 59904 60736 62196 62764 63648 64532 64896 66456 67379 68328 68952 71994 72704 74022 74752 77248 78336 79424 81792 82928 84096 84864 86528 86904 88111 88608 89352 91104 91936 93294 94146 95992 96798 97344 98696 103428 107991 109056 111033 112128 113152 115872 118144 119136 119808 121472 124392 125528 127296 129064 129792 132912 134758 136656 137904 141219 143988 145197 148044 154496 156672 158848 163584 165856 168192 169728 173056 173808 176222 177216 178704 182208 183872 186588 188292 191984 193596 194688 197392 202137 203983 206856 209729 215982 218112 222066 224256 226304 231744 236288 238272 242944 248784 251056 254592 258128 259584 264333 265824 269516 273312 275808 282438 287976 290394 296088 308992 317696 327168 331712 336384 339456 347616 352444 354432 357408 364416 367744 373176 376584 383968 387192 389376 394784 404274 407966 413712 419458 431964 444132 463488 472576 476544 485888 497568 502112 509184 516256 519168 528666 531648 539032 546624 551616 564876 575952 580788 592176 606411 611949 617984 629187 635392 654336 663424 672768 678912 695232 704888 708864 714816 728832 735488 746352 753168 767936 774384 778752 789568 792999 808548 815932 827424 838916 863928 875927 888264 926976 945152 953088 971776 995136 1004224 1018368 1032512 1057332 1063296 1078064 1093248 1103232 1129752 1145443 1151904 1161576 1184352 1212822 1223898 1235968 1258374 1270784 1326848 1390464 1409776 1417728 1429632 1457664 1470976 1492704 1506336 1535872 1548768 1557504 1579136 1585998 1617096 1631864 1654848 1677832 1727856 1751854 1776528 1835847 1853952 1887561 1906176 1990272 2008448 2036736 2065024 2114664 2126592 2156128 2186496 2206464 2259504 2290886 2303808 2323152 2368704 2425644 2447796 2516748 2627781 2653696 2780928 2819552 2835456 2859264 2915328 2941952 2985408 3012672 3071744 3097536 3158272 3171996 3234192 3263728 3309696 3355664 3436329 3455712 3503708 3553056 3671694 3707904 3775122 3812352 3980544 4016896 4130048 4229328 4253184 4312256 4372992 4412928 4519008 4581772 4607616 4646304 4737408 4851288 4895592 5033496 5255562 5307392 5561856 5639104 5718528 5970816 6025344 6143488 6195072 6316544 6343992 6468384 6527456 6619392 6711328 6872658 6911424 7007416 7106112 7343388 7550244 7883343 7961088 8033792 8260096 8458656 8506368 8624512 8745984 8825856 9038016 9163544 9215232 9292608 9474816 9702576 9791184 10066992 10308987 10511124 11123712 11278208 11437056 11941632 12050688 12286976 12390144 12633088 12687984 12936768 13054912 13238784 13422656 13745316 13822848 14014832 14212224 14686776 14890759 15100488 15766686 15922176 16067584 16520192 16917312 17249024 18076032 18327088 18430464 18585216 18949632 19405152 19582368 20133984 20617974 21022248 22556416 23883264 24101376 24780288 25375968 25873536 26109824 26477568 26845312 27490632 27645696 28029664 28424448 29373552 29781518 30200976 31533372 33834624 34498048 36152064 36654176 36860928 37170432 37899264 38810304 39164736 40267968 41235948 42044496 44672277 45112832 47766528 48202752 49560576 50751936 51747072 52219648 53690624 54981264 55291392 56059328 56848896 58747104 59563036 60401952 63066744 67669248 68996096 72304128 73308352 74340864 77620608 78329472 80535936 82471896 84088992 89344554 90225664 101503872 103494144 104439296 107381248 109962528 110582784 112118656 113697792 117494208 119126072 120803904 126133488 134016831 135338496 144608256 146616704 148681728 155241216 156658944 161071872 164943792 168177984 178689108 203007744 206988288 208878592 214762496 219925056 224237312 234988416 238252144 241607808 252266976 268033662 270676992 293233408 310482432 313317888 322143744 329887584 336355968 357378216 406015488 439850112 448474624 469976832 476504288 483215616 504533952 536067324 586466816 620964864 626635776 644287488 659775168 672711936 714756432 812030976 879700224 896949248 939953664 953008576 966431232 1009067904 1072134648 1172933632 1319550336 1345423872 1429512864 1759400448 1879907328 1906017152 1932862464 2018135808 2144269296 2639100672 2690847744 2859025728 3518800896 3812034304 4036271616 4288538592 5278201344 5718051456 7624068608 8072543232 8577077184 10556402688 11436102912 15248137216 17154154368 22872205824 34308308736 45744411648 68616617472 137233234944
• Sum of all divisors σ(n): 467034545952
• Sum of proper divisors (its aliquot sum) s(n): 329801311008
• 137233234944 is an abundant number, because the sum of its proper divisors (329801311008) is greater than itself. Its abundance is 192568076064

Bases of 137233234944

• Binary: 1111111110011101111001111110000000000₂
• Hexadecimal: 0x1FF3BCFC00
• Base-36: 1R1L4HS0

Squares and roots of 137233234944

• 137233234944 squared (137233234944²) is 18832960773195102683136
• 137233234944 cubed (137233234944³) is 2584508130479019424065007474704384
• The square root of 137233234944 is 370450.0437899823
• The cube root of 137233234944 is 5158.0605222309

Scales and comparisons

• 137,233,234,944 seconds is equal to 4,363 years, 30 weeks, 5 days, 15 hours, 2 minutes, 24 seconds.
• To count from 1 to 137,233,234,944 would take you about eight thousand, seven hundred twenty-seven 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 137233234944 cubic inches would be around 429.8 feet tall.

Recreational maths with 137233234944

• 137233234944 backwards is 449432332731
• The number of decimal digits it has is: 12
• The sum of 137233234944's digits is 45
• More coming soon!