137142132624

Names of 137142132624

• Cardinal: 137142132624 can be written as One hundred thirty-seven billion, one hundred forty-two million, one hundred thirty-two thousand, six hundred twenty-four.

Scientific notation

• Scientific notation: 1.37142132624 × 10¹¹

Factors of 137142132624

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 279

Divisors of 137142132624

• Number of divisors d(n): 960
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 29 34 36 41 42 48 51 53 56 58 63 68 72 82 84 87 102 106 112 116 119 123 126 127 136 144 153 159 164 168 174 203 204 212 232 238 246 252 254 261 272 287 306 318 328 336 348 357 369 371 381 406 408 424 464 476 477 492 493 504 508 522 574 609 612 636 656 696 697 714 738 742 762 812 816 848 861 889 901 952 954 984 986 1008 1016 1044 1071 1113 1143 1148 1189 1218 1224 1272 1392 1394 1428 1476 1479 1484 1524 1537 1624 1722 1778 1802 1827 1904 1908 1968 1972 2032 2088 2091 2142 2159 2173 2226 2286 2296 2378 2436 2448 2544 2583 2667 2703 2788 2856 2952 2958 2968 3048 3074 3248 3339 3444 3451 3556 3567 3604 3654 3683 3816 3944 4176 4182 4284 4318 4346 4437 4452 4572 4592 4611 4756 4872 4879 5166 5207 5334 5406 5576 5712 5904 5916 5936 6096 6148 6273 6307 6477 6519 6678 6731 6888 6902 7112 7134 7208 7308 7366 7632 7888 8001 8109 8323 8364 8568 8636 8692 8874 8904 9144 9222 9512 9744 9758 10332 10353 10414 10668 10701 10759 10812 11049 11152 11832 12296 12546 12614 12954 13038 13356 13462 13776 13804 13833 14224 14268 14416 14616 14637 14732 15113 15211 15621 16002 16218 16646 16728 17136 17272 17384 17748 17808 18288 18444 18921 19024 19431 19516 19557 20193 20213 20664 20706 20828 21336 21402 21518 21624 22098 23664 24592 24969 25092 25228 25781 25908 26076 26129 26712 26924 27608 27666 28536 29232 29274 29464 30226 30422 31059 31242 32004 32277 32436 33147 33292 33456 34544 34768 35496 36449 36888 36941 37842 38862 39032 39114 40386 40426 41328 41412 41656 42672 42804 43036 43248 43911 44196 45339 45633 46863 47117 49938 50184 50456 51562 51816 52152 52258 53424 53848 55216 55332 56763 57072 58548 58928 60452 60579 60639 60844 62118 62484 62611 63017 64008 64554 64872 66294 66584 70992 72898 73776 73882 74907 75684 77343 77724 78064 78228 78387 80772 80852 82824 83312 85608 86072 87822 88392 88519 90678 91266 93726 94234 96831 99876 100368 100912 103124 103632 104304 104516 107696 109347 110664 110823 113526 114427 117096 120904 121158 121278 121688 124236 124968 125222 126034 128016 129108 129744 132588 133168 136017 136899 141351 141491 145796 147764 149814 151003 151368 154686 155448 156456 156774 161544 161704 165648 171216 172144 175644 176784 177038 181356 181917 182532 182903 187452 187833 188468 189051 193662 195199 199752 206248 209032 218694 221328 221646 227052 228854 232029 234192 235161 241808 242316 242556 243376 248472 249936 250444 252068 258216 258587 265176 265557 272034 273798 275971 282702 282982 291592 295528 299628 302006 302736 309372 310896 312912 313548 323088 323408 328041 332469 343281 351288 354076 362712 363834 365064 365806 374904 375666 376936 378102 387324 390398 399504 412496 418064 424053 424473 437388 438277 441119 443292 453009 454104 457708 464058 470322 484632 485112 496944 500888 504136 516432 517174 530352 531114 544068 547596 548709 551942 563499 565404 565964 567153 583184 585597 591056 599256 604012 618744 619633 627096 656082 664938 686562 702576 708152 725424 727668 730128 731612 749808 751332 753872 756204 774648 775761 780796 796671 800989 827913 848106 848946 874776 876554 882238 886584 906018 908208 915416 928116 940644 969264 970224 1001776 1008272 1029843 1034348 1057021 1062228 1071289 1088136 1095192 1097418 1103884 1126998 1130808 1131928 1134306 1171194 1198512 1208024 1237488 1239266 1254192 1273419 1312164 1314831 1323357 1329876 1359027 1366393 1373124 1416304 1455336 1463224 1502664 1512408 1549296 1551522 1561592 1593342 1601978 1646127 1655826 1696212 1697892 1749552 1753108 1756791 1764476 1773168 1812036 1830832 1856232 1858899 1881288 1931797 2059686 2068696 2114042 2124456 2142578 2176272 2190384 2194836 2207768 2253996 2261616 2263856 2268612 2327283 2342388 2402967 2416048 2478532 2483739 2546838 2567051 2624328 2629662 2646714 2659752 2718054 2732786 2746248 2910672 2926448 3005328 3024816 3103044 3123184 3171063 3186684 3203956 3213867 3292254 3311652 3318383 3392424 3395784 3506216 3513582 3528952 3624072 3712464 3717798 3762576 3863594 3944493 3970071 4099179 4119372 4137392 4228084 4248912 4285156 4389672 4415536 4507992 4537224 4654566 4684776 4691507 4805934 4957064 4967478 5093676 5134102 5248656 5259324 5293428 5319504 5436108 5465572 5492496 5576697 5795391 6206088 6342126 6373368 6407912 6427734 6584508 6623304 6636766 6784848 6791568 7012432 7027164 7057904 7208901 7248144 7435596 7499023 7701153 7727188 7888986 7940142 8003159 8198358 8238744 8456168 8570312 8779344 9015984 9074448 9309132 9369552 9383014 9513189 9611868 9641601 9914128 9934956 9955149 10187352 10268204 10518648 10586856 10872216 10931144 11153394 11590782 12297537 12412176 12684252 12746736 12815824 12855468 13169016 13246608 13273532 14054328 14074521 14417802 14871192 14998046 15402306 15454376 15777972 15880284 16006318 16396716 16477488 16912336 17140624 17386173 17969357 18618264 18766028 19026378 19223736 19283202 19869912 19910298 20374704 20536408 21037296 21173712 21744432 21862288 22306788 22497069 23103459 23181564 23228681 24009477 24595074 25368504 25710936 26338032 26547064 28108656 28149042 28835604 29742384 29865447 29996092 30804612 30908752 31555944 31760568 32012636 32793432 32840549 34772346 35938714 37236528 37532056 38052756 38447472 38566404 39739824 39820596 41072816 42223563 44613576 44994138 46206918 46363128 46457362 48018954 49190148 50737008 51421872 53094128 53908071 56022113 56298084 57671208 59730894 59992184 61609224 63111888 63521136 64025272 65586864 65681098 67491207 69544692 69686043 71877428 72028431 75064112 76105512 77132808 79641192 84447126 89227152 89988276 92413836 92726256 92914724 96037908 98380296 98521647 107816142 112044226 112596168 115342416 119461788 119984368 123218448 128050544 131362196 134982414 136053703 139089384 139372086 143754856 144056862 152211024 154265616 159282384 161724213 168066339 168894252 179976552 184827672 185829448 192075816 196760592 197043294 209058129 215632284 224088452 225192336 238923576 262724392 269964828 272107406 278178768 278744172 287509712 288113724 295564941 323448426 336132678 337788504 359953104 369655344 371658896 384151632 394086588 408161109 418116258 431264568 448176904 477847152 504199017 525448784 539929656 544214812 557488344 576227448 591129882 646896852 672265356 675577008 788173176 816322218 836232516 862529136 896353808 952375921 1008398034 1079859312 1088429624 1114976688 1152454896 1182259764 1224483327 1293793704 1344530712 1576346352 1632644436 1672465032 1904751842 2016796068 2176859248 2364519528 2448966654 2587587408 2689061424 2857127763 3265288872 3344930064 3809503684 4033592136 4729039056 4897933308 5714255526 6530577744 7619007368 8067184272 8571383289 9795866616 11428511052 15238014736 17142766578 19591733232 22857022104 34285533156 45714044208 68571066312 137142132624
• Sum of all divisors σ(n): 505407651840
• Sum of proper divisors (its aliquot sum) s(n): 368265519216
• 137142132624 is an abundant number, because the sum of its proper divisors (368265519216) is greater than itself. Its abundance is 231123386592

Bases of 137142132624

• Binary: 1111111101110010011101101111110010000₂
• Hexadecimal: 0x1FEE4EDF90
• Base-36: 1R02VUS0

Squares and roots of 137142132624

• 137142132624 squared (137142132624²) is 18807964540658805125376
• 137142132624 cubed (137142132624³) is 2579364367422519092837686339866624
• The square root of 137142132624 is 370327.0616954693
• The cube root of 137142132624 is 5156.9188762769

Scales and comparisons

• 137,142,132,624 seconds is equal to 4,360 years, 36 weeks, 1 day, 4 hours, 50 minutes, 24 seconds.
• To count from 1 to 137,142,132,624 would take you about eight thousand, seven hundred twenty-one 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 137142132624 cubic inches would be around 429.7 feet tall.

Recreational maths with 137142132624

• 137142132624 backwards is 426231241731
• 137142132624 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137142132624's digits is 36
• More coming soon!