137681625312

Names of 137681625312

• Cardinal: 137681625312 can be written as One hundred thirty-seven billion, six hundred eighty-one million, six hundred twenty-five thousand, three hundred twelve.

Scientific notation

• Scientific notation: 1.37681625312 × 10¹¹

Factors of 137681625312

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 71

Divisors of 137681625312

• Number of divisors d(n): 1620
• Complete list of divisors:
  1 2 3 4 6 7 8 9 11 12 14 16 17 18 21 22 24 27 28 31 32 33 34 36 42 44 48 49 51 54 56 62 63 66 68 72 77 81 84 88 93 96 98 99 102 108 112 119 121 124 126 132 136 144 147 153 154 162 168 176 186 187 189 196 198 204 216 217 224 231 238 242 248 252 264 272 279 288 289 294 297 306 308 324 336 341 352 357 363 372 374 378 392 396 408 432 434 441 459 462 476 484 496 504 527 528 539 544 558 561 567 578 588 594 612 616 648 651 672 682 693 714 726 744 748 756 784 792 816 833 837 847 864 867 868 882 891 918 924 952 968 992 1008 1023 1054 1056 1071 1078 1089 1116 1122 1134 1156 1176 1188 1224 1232 1296 1302 1309 1323 1364 1377 1386 1428 1452 1488 1496 1512 1519 1568 1581 1584 1617 1632 1666 1674 1683 1694 1734 1736 1764 1782 1836 1848 1904 1936 1953 2016 2023 2046 2057 2079 2108 2142 2156 2178 2232 2244 2268 2312 2352 2376 2387 2448 2464 2499 2511 2541 2592 2601 2604 2618 2646 2728 2754 2772 2856 2904 2976 2992 3024 3038 3069 3162 3168 3179 3213 3234 3267 3332 3348 3366 3388 3468 3472 3528 3564 3672 3689 3696 3751 3808 3872 3906 3927 3969 4046 4092 4114 4158 4216 4284 4312 4356 4464 4488 4536 4557 4624 4704 4743 4752 4774 4851 4896 4998 5022 5049 5082 5202 5208 5236 5292 5456 5508 5544 5712 5797 5808 5859 5929 5984 6048 6069 6076 6138 6171 6237 6324 6358 6426 6468 6534 6664 6696 6732 6776 6936 6944 7056 7128 7161 7344 7378 7392 7497 7502 7623 7803 7812 7854 7938 8092 8184 8228 8316 8432 8568 8624 8712 8928 8959 8976 9072 9114 9163 9207 9248 9486 9504 9537 9548 9639 9702 9801 9996 10044 10098 10164 10404 10416 10472 10584 10912 11016 11067 11088 11253 11424 11594 11616 11718 11781 11858 12138 12152 12276 12342 12474 12648 12716 12852 12936 13068 13328 13392 13464 13552 13671 13872 14112 14161 14229 14256 14322 14399 14553 14688 14756 14994 15004 15147 15246 15606 15624 15708 15876 16184 16368 16456 16632 16709 16864 17136 17248 17391 17424 17577 17787 17918 17952 18144 18207 18228 18326 18414 18513 18972 19074 19096 19278 19404 19602 19992 20088 20196 20328 20808 20832 20944 21168 21483 22032 22134 22176 22253 22491 22506 22869 23188 23409 23436 23562 23716 24276 24304 24552 24684 24948 25296 25432 25704 25823 25872 26136 26257 26656 26784 26877 26928 27104 27342 27489 27621 27744 28322 28458 28512 28611 28644 28798 29106 29512 29988 30008 30294 30492 31212 31248 31416 31752 32368 32736 32912 33201 33264 33418 33759 34272 34782 34848 34969 35154 35343 35574 35836 36414 36456 36652 36828 37026 37944 38148 38192 38556 38808 39204 39984 40176 40392 40579 40656 41013 41616 41888 42336 42483 42687 42966 43197 43659 44064 44268 44506 44982 45012 45738 46376 46818 46872 47124 47432 48552 48608 49104 49368 49896 50127 50592 50864 51408 51646 51744 52173 52272 52514 53361 53754 53856 54621 54684 54978 55242 55539 56644 56916 57222 57288 57596 58212 59024 59976 60016 60588 60984 62424 62496 62713 62832 63504 63767 64449 64736 65824 66402 66528 66759 66836 67473 67518 68607 69564 69938 70308 70686 71148 71672 72828 72912 73304 73656 74052 75888 76296 76384 77112 77469 77616 78408 78771 79968 80352 80631 80784 81158 81312 82026 82467 83232 84966 85374 85833 85932 86394 87318 88536 89012 89964 90024 91476 92752 93636 93744 94248 94864 97104 98208 98549 98736 99603 99792 100254 100793 101277 101728 102816 103292 104346 104544 104907 105028 106029 106722 107508 109242 109368 109956 110484 111078 113288 113832 114444 114576 115192 116424 118048 119952 120032 121176 121737 121968 123039 124848 125426 125664 127008 127449 127534 128898 129591 132804 133518 133672 134946 135036 137214 139128 139876 140616 141372 142296 143344 145656 145824 146608 147312 148104 150381 151776 152592 154224 154938 155232 155771 156519 156816 157542 160083 161262 161568 162316 163863 164052 164934 166617 169932 170748 171666 171864 172788 174636 177072 178024 179928 180048 182952 183799 185504 187272 187488 188139 188496 189728 191301 193347 194208 197098 197472 199206 199584 200277 200508 201586 202554 206584 208692 209814 210056 212058 213444 215016 218484 218736 219912 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33646536 34029072 34689248 35060256 35248752 35558271 36155889 36705312 37251522 37322208 37494996 38631208 39025404 39654846 39700584 40638024 40903632 41123544 41321016 42143136 42573168 42851424 43309728 43460109 43542576 44862048 45319824 45529638 46016586 46263987 47411028 48207852 49668696 49993328 50469804 52033872 52590384 52873128 52934112 53117911 54184032 54831392 55094688 55877283 56242494 57679776 57946812 58538106 59550876 60706184 61355448 61685316 63214704 63859752 64277136 65313864 66224928 66933216 67293072 68058144 68294457 70497504 71116542 72311778 74503044 74989992 77262416 78050808 79309692 79401168 81276048 81807264 82247088 82642032 84363741 85146336 86920218 87085152 87807159 90639648 91059276 92033172 92527974 94822056 96415704 99337392 99986656 100939608 104067744 105180768 105746256 106235822 111754566 112484988 115893624 117076212 119101752 121412368 122710896 123370632 126429408 127719504 128554272 130380327 130627728 134586144 136588914 138791961 142233084 144623556 149006088 149979984 154524832 156101616 158619384 158802336 159353733 162552096 164494176 165284064 168727482 173840436 175614318 182118552 184066344 185055948 189644112 192831408 198674784 201879216 204883371 211492512 212471644 223509132 224969976 231787248 234152424 238203504 242824736 245421792 246741264 253091223 255439008 260760654 261255456 273177828 277583922 284466168 289247112 298012176 299959968 312203232 317238768 318707466 337454964 347680872 351228636 364237104 368132688 370111896 379288224 385662816 391140981 403758432 409766742 424943288 447018264 449939952 463574496 468304848 476407008 478061199 493482528 506182446 521521308 546355656 555167844 568932336 578494224 596024352 614650113 634477536 637414932 674909928 695361744 702457272 728474208 736265376 740223792 782281962 819533484 849886576 894036528 899879904 936609696 956122398 1012364892 1043042616 1092711312 1110335688 1137864672 1156988448 1229300226 1274829864 1349819856 1390723488 1404914544 1434183597 1480447584 1564563924 1639066968 1699773152 1788073056 1912244796 2024729784 2086085232 2185422624 2220671376 2458600452 2549659728 2699639712 2809829088 2868367194 3129127848 3278133936 3824489592 4049459568 4172170464 4302550791 4441342752 4917200904 5099319456 5736734388 6258255696 6556267872 7648979184 8098919136 8605101582 9834401808 11473468776 12516511392 15297958368 17210203164 19668803616 22946937552 34420406328 45893875104 68840812656 137681625312
• Sum of all divisors σ(n): 567728596512
• Sum of proper divisors (its aliquot sum) s(n): 430046971200
• 137681625312 is an abundant number, because the sum of its proper divisors (430046971200) is greater than itself. Its abundance is 292365345888

Bases of 137681625312

• Binary: 10000000001110011101101110000011100000₂
• Hexadecimal: 0x200E76E0E0
• Base-36: 1R903200

Squares and roots of 137681625312

• 137681625312 squared (137681625312²) is 18956229948553959097344
• 137681625312 cubed (137681625312³) is 2609924549104919232654690342371328
• The square root of 137681625312 is 371054.7470549325
• The cube root of 137681625312 is 5163.6721616067

Scales and comparisons

• 137,681,625,312 seconds is equal to 4,377 years, 44 weeks, 1 day, 7 hours, 55 minutes, 12 seconds.
• To count from 1 to 137,681,625,312 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 137681625312 cubic inches would be around 430.3 feet tall.

Recreational maths with 137681625312

• 137681625312 backwards is 213526186731
• The number of decimal digits it has is: 12
• The sum of 137681625312's digits is 45
• More coming soon!