137409701855348832

Names of 137409701855348832

• Cardinal: 137409701855348832 can be written as One hundred thirty-seven quadrillion, four hundred nine trillion, seven hundred one billion, eight hundred fifty-five million, three hundred forty-eight thousand, eight hundred thirty-two.

Scientific notation

• Scientific notation: 1.37409701855348832 × 10¹⁷

Factors of 137409701855348832

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 1808758

Divisors of 137409701855348832

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 73 78 84 91 96 104 112 146 156 168 182 208 219 224 273 292 312 336 364 416 438 511 546 584 624 672 728 876 949 1022 1092 1168 1248 1456 1533 1752 1898 2044 2184 2336 2847 2912 3066 3504 3796 4088 4368 5694 6132 6643 7008 7592 8176 8736 11388 12264 13286 15184 16352 19929 22776 24528 26572 30368 39858 45552 49056 53144 79716 91104 106288 128221 159432 212576 256442 318864 384663 512884 637728 769326 897547 1025768 1538652 1666873 1680439 1795094 2051536 2692641 3077304 3333746 3360878 3590188 4103072 5000619 5041317 5385282 6154608 6667492 6721756 7180376 9360133 10001238 10082634 10770564 11668111 11763073 12309216 13334984 13443512 14360752 18720266 20002476 20165268 21541128 21845707 23336222 23526146 26669968 26887024 28080399 28721504 35004333 35289219 37440532 40004952 40330536 43082256 43691414 46672444 47052292 53339936 53774048 56160798 65520931 65537121 70008666 70578438 74881064 80009904 80661072 86164512 87382828 93344888 94104584 112321596 121681729 122672047 131041862 131074242 140017332 141156876 149762128 152919949 160019808 161322144 174765656 186689776 188209168 196562793 224643192 243363458 245344094 262083724 262148484 280034664 282313752 299524256 305839898 349531312 365045187 368016141 373379552 376418336 393125586 449286384 458759847 486726916 490688188 524167448 524296968 560069328 564627504 611679796 699062624 730090374 736032282 786251172 851772103 858704329 898572768 917519694 973453832 981376376 1048334896 1048593936 1120138656 1129255008 1223359592 1460180748 1472064564 1572502344 1594736611 1703544206 1717408658 1835039388 1946907664 1962752752 2096669792 2097187872 2446719184 2555316309 2576112987 2920361496 2944129128 3145004688 3189473222 3407088412 3434817316 3670078776 3893815328 3925505504 4784209833 4893438368 5110632618 5152225974 5840722992 5888258256 6290009376 6378946444 6814176824 6869634632 7340157552 9568419666 10221265236 10304451948 11163156277 11681445984 11776516512 12757892888 13628353648 13739269264 14680315104 19136839332 20442530472 20608903896 22326312554 25515785776 27256707296 27478538528 33489468831 38273678664 40885060944 41217807792 44652625108 51031571552 66978937662 76547357328 81770121888 82435615584 89305250216 133957875324 153094714656 178610500432 215467569019 267915750648 357221000864 430935138038 535831501296 646402707057 861870276076 1071663002592 1292805414114 1508272983133 1723740552152 2585610828228 2801078397247 3016545966266 3447481104304 4524818949399 5171221656456 5602156794494 6033091932532 6894962208608 8403235191741 9049637898798 10342443312912 11204313588988 12066183865064 15729132538387 16806470383482 18099275797596 19607548780729 20684886625824 22408627177976 24132367730128 31458265076774 33612940766964 36198551595192 39215097561458 44817254355952 47187397615161 48264735460256 58822646342187 62916530153548 67225881533928 72397103190384 78430195122916 89634508711904 94374795230322 110103927768709 117645292684374 125833060307096 134451763067856 144794206380768 156860390245832 188749590460644 204478722999031 220207855537418 235290585368748 251666120614192 268903526135712 313720780491664 330311783306127 377499180921288 408957445998062 440415711074836 470581170737496 503332241228384 613436168997093 627441560983328 660623566612254 754998361842576 817914891996124 880831422149672 941162341474992 1226872337994186 1321247133224508 1431351060993217 1509996723685152 1635829783992248 1761662844299344 1882324682949984 2453744675988372 2642494266449016 2862702121986434 3271659567984496 3523325688598688 4294053182979651 4907489351976744 5284988532898032 5725404243972868 6543319135968992 8588106365959302 9814978703953488 10569977065796064 11450808487945736 17176212731918604 19629957407906976 22901616975891472 34352425463837208 45803233951782944 68704850927674416 137409701855348832
• Sum of all divisors σ(n): 450024170957383680
• Sum of proper divisors (its aliquot sum) s(n): 312614469102034848
• 137409701855348832 is an abundant number, because the sum of its proper divisors (312614469102034848) is greater than itself. Its abundance is 175204767246686016

Bases of 137409701855348832

• Binary: 111101000001011010110010101010011110001111100100001100000₂
• Hexadecimal: 0x1E82D6553C7C860
• Base-36: 11KZO9KVB42O

Squares and roots of 137409701855348832

• 137409701855348832 squared (137409701855348832²) is 18881426163975856243260088403764224
• 137409701855348832 cubed (137409701855348832³) is 2594491139795705193456341126667233782713497401786368
• The square root of 137409701855348832 is 370688146.3647695763
• The cube root of 137409701855348832 is 516027.0475568103

Scales and comparisons

• 137,409,701,855,348,832 seconds is equal to 4,369,203,482 years, 46 weeks, 5 hours, 47 minutes, 12 seconds.
• To count from 1 to 137,409,701,855,348,832 would take you about thirteen billion, one hundred seven million, six hundred ten thousand, four hundred forty-eight 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 137409701855348832 cubic inches would be around 43002.3 feet tall.

Recreational maths with 137409701855348832

• 137409701855348832 backwards is 238843558107904731
• 137409701855348832 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 137409701855348832's digits is 78
• More coming soon!