137682940032

Names of 137682940032

• Cardinal: 137682940032 can be written as One hundred thirty-seven billion, six hundred eighty-two million, nine hundred forty thousand and thirty-two.

Scientific notation

• Scientific notation: 1.37682940032 × 10¹¹

Factors of 137682940032

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 105

Divisors of 137682940032

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 18 19 22 23 24 32 33 36 38 44 46 47 48 57 64 66 69 72 76 88 92 94 96 99 114 128 132 138 141 144 152 171 176 184 188 192 198 207 209 228 253 264 276 282 288 304 342 352 368 376 384 396 414 418 423 437 456 506 517 528 529 552 564 576 608 627 684 704 736 752 759 792 828 836 846 874 893 912 1012 1034 1056 1058 1081 1104 1128 1152 1216 1254 1311 1368 1408 1472 1504 1518 1551 1584 1587 1656 1672 1692 1748 1786 1824 1881 2024 2068 2112 2116 2162 2208 2256 2277 2432 2508 2622 2679 2736 2944 3008 3036 3102 3168 3174 3243 3312 3344 3384 3496 3572 3648 3762 3933 4048 4136 4224 4232 4324 4416 4512 4554 4653 4761 4807 5016 5244 5358 5472 5819 6016 6072 6204 6336 6348 6486 6624 6688 6768 6992 7144 7296 7524 7866 8037 8096 8272 8464 8648 8832 9024 9108 9306 9522 9614 9729 9823 10032 10051 10488 10716 10944 11638 11891 12144 12167 12408 12672 12696 12972 13248 13376 13536 13984 14288 14421 15048 15732 16074 16192 16544 16928 17296 17457 18048 18216 18612 19044 19228 19458 19646 20064 20102 20539 20976 21432 21888 23276 23782 24288 24334 24816 24863 25392 25944 26496 26752 27072 27968 28576 28842 29469 30096 30153 31464 32148 32384 33088 33856 34592 34914 35673 36432 36501 37224 38088 38456 38916 39292 40128 40204 41078 41952 42864 43263 46552 47564 48576 48668 49632 49726 50784 51888 52371 54144 55936 57152 57684 58938 60192 60306 61617 62928 64296 66176 67712 69184 69828 71346 72864 73002 74448 74589 76176 76912 77832 78584 80256 80408 82156 83904 85728 86526 88407 90459 93104 95128 97152 97336 99264 99452 101568 103776 104742 107019 109503 110561 114304 115368 117876 120384 120612 123234 125856 128592 133837 138368 139656 142692 145728 146004 148896 149178 152352 153824 155664 157168 160816 164312 167808 171456 173052 176814 180918 184851 186208 190256 194672 198528 198904 203136 207552 209484 214038 219006 221122 223767 225929 230736 231173 235752 240768 241224 246468 251712 257184 267674 273493 279312 285384 291456 292008 297792 298356 304704 307648 311328 314336 321632 328624 331683 342912 346104 353628 361836 369702 372416 380512 389344 397808 401511 415104 418968 428076 438012 442244 447534 451858 461472 462346 471504 472397 482448 492936 503424 514368 535348 546986 558624 570768 571849 584016 595584 596712 609408 615296 622656 628672 643264 657248 663366 677787 692208 693519 707256 723672 739404 744832 761024 778688 795616 803022 820479 837936 856152 876024 884488 895068 903716 922944 924692 943008 944794 964896 985872 995049 1028736 1070696 1093972 1117248 1141536 1143698 1168032 1193424 1204533 1245312 1257344 1286528 1314496 1326732 1355574 1384416 1387038 1414512 1417191 1447344 1478808 1522048 1557376 1591232 1606044 1640958 1675872 1712304 1715547 1752048 1768976 1790136 1807432 1845888 1849384 1886016 1889588 1929792 1971744 1990098 2033361 2080557 2141392 2187944 2234496 2283072 2287396 2336064 2386848 2409066 2461437 2542903 2628992 2653464 2711148 2768832 2774076 2829024 2834382 2894688 2957616 3182464 3212088 3281916 3351744 3424608 3431094 3504096 3537952 3580272 3614864 3698768 3772032 3779176 3859584 3943488 3980196 4066722 4161114 4251573 4282784 4375888 4566144 4574792 4672128 4773696 4818132 4922874 5085806 5146641 5196367 5306928 5422296 5537664 5548152 5658048 5668764 5789376 5915232 6290339 6424176 6563832 6703488 6849216 6862188 7008192 7075904 7160544 7229728 7397536 7558352 7628709 7886976 7960392 8133444 8322228 8503146 8565568 8751776 9149584 9547392 9636264 9845748 10171612 10293282 10392734 10613856 10844592 10865131 11096304 11316096 11337528 11578752 11830464 12580678 12848352 13127664 13698432 13724376 14016384 14151808 14321088 14459456 14795072 15116704 15257418 15589101 15920784 16266888 16644456 17006292 17131136 17503552 18299168 18871017 19272528 19691496 20343224 20586564 20785468 21227712 21689184 21730262 22192608 22675056 22886127 23660928 25161356 25696704 26255328 27448752 28642176 28918912 29590144 30233408 30514836 31178202 31841568 32533776 32595393 33288912 34012584 35007104 36598336 37742034 38545056 39382992 40686448 41173128 41570936 42455424 43378368 43460524 44385216 45350112 45772254 46767303 50322712 51393408 52510656 54897504 56613051 60466816 61029672 62356404 63683136 65067552 65190786 66577824 68025168 73196672 75484068 77090112 78765984 81372896 82346256 83141872 86756736 86921048 88770432 90700224 91544508 93534606 97786179 100645424 105021312 109795008 113226102 119516441 122059344 124712808 127366272 130135104 130381572 133155648 136050336 150968136 154180224 157531968 162745792 164692512 166283744 173842096 181400448 183089016 187069212 195572358 201290848 219590016 226452204 239032882 244118688 249425616 260270208 260763144 266311296 272100672 301936272 315063936 325491584 329385024 332567488 347684192 358549323 366178032 374138424 391144716 402581696 452904408 478065764 488237376 498851232 521526288 544201344 603872544 658770048 665134976 695368384 717098646 732356064 748276848 782289432 805163392 905808816 956131528 976474752 997702464 1043052576 1075647969 1207745088 1390736768 1434197292 1464712128 1496553696 1564578864 1811617632 1912263056 1995404928 2086105152 2151295938 2415490176 2868394584 2929424256 2993107392 3129157728 3623235264 3824526112 4172210304 4302591876 5736789168 5986214784 6258315456 7246470528 7649052224 8605183752 11473578336 12516630912 15298104448 17210367504 22947156672 34420735008 45894313344 68841470016 137682940032
• Sum of all divisors σ(n): 485761536000
• Sum of proper divisors (its aliquot sum) s(n): 348078595968
• 137682940032 is an abundant number, because the sum of its proper divisors (348078595968) is greater than itself. Its abundance is 210395655936

Bases of 137682940032

• Binary: 10000000001110100010101111000010000000₂
• Hexadecimal: 0x200E8AF080
• Base-36: 1R90V8G0

Squares and roots of 137682940032

• 137682940032 squared (137682940032²) is 18956591975855308161024
• 137682940032 cubed (137682940032³) is 2609999316222778785443147591712768
• The square root of 137682940032 is 371056.5186491137
• The cube root of 137682940032 is 5163.6885975003

Scales and comparisons

• 137,682,940,032 seconds is equal to 4,377 years, 46 weeks, 2 days, 13 hours, 7 minutes, 12 seconds.
• To count from 1 to 137,682,940,032 would take you about eight thousand, seven hundred fifty-five 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 137682940032 cubic inches would be around 430.3 feet tall.

Recreational maths with 137682940032

• 137682940032 backwards is 230049286731
• The number of decimal digits it has is: 12
• The sum of 137682940032's digits is 45
• More coming soon!