137918824519168

Names of 137918824519168

• Cardinal: 137918824519168 can be written as One hundred thirty-seven trillion, nine hundred eighteen billion, eight hundred twenty-four million, five hundred nineteen thousand, one hundred sixty-eight.

Scientific notation

• Scientific notation: 1.37918824519168 × 10¹⁴

Factors of 137918824519168

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 16158

Divisors of 137918824519168

• Number of divisors d(n): 640
• Complete list of divisors:
  1 2 4 7 8 11 14 16 22 28 31 32 44 56 62 64 73 77 88 97 112 124 128 146 154 176 194 217 224 248 256 292 308 341 352 388 434 448 496 511 512 584 616 679 682 704 776 803 868 896 992 1022 1067 1168 1232 1358 1364 1408 1552 1606 1736 1792 1984 2044 2134 2263 2336 2387 2464 2716 2728 2816 3007 3104 3212 3472 3584 3968 4088 4268 4526 4672 4774 4928 5432 5456 5621 5632 6014 6208 6424 6944 7081 7469 7936 8176 8536 9052 9344 9548 9856 10864 10912 11242 12028 12416 12848 13888 14162 14938 15841 15872 15937 16352 17072 18104 18688 19096 19712 21049 21728 21824 22484 24056 24832 24893 25696 27776 28324 29876 31682 31874 32704 33077 34144 36208 37376 38192 39424 42098 43456 43648 44968 48112 49567 49664 49786 51392 55552 56648 59752 63364 63748 65408 66154 68288 72416 76384 77891 84196 86912 87296 89936 96224 99134 99572 102784 111104 111559 113296 119504 126728 127496 130816 132308 136576 144832 152768 155782 168392 173824 174251 174592 175307 179872 192448 198268 199144 205568 219511 223118 226592 231539 239008 253456 254992 261632 264616 273152 289664 305536 311564 336784 347648 348502 350614 359744 384896 396536 398288 411136 439022 446236 453184 463078 478016 494047 506912 509984 529232 545237 546304 579328 611072 623128 673568 697004 701228 719488 769792 793072 796576 878044 892472 906368 926156 956032 988094 1013824 1019968 1058464 1090474 1158656 1163401 1222144 1227149 1246256 1347136 1394008 1402456 1438976 1536577 1539584 1545889 1586144 1593152 1756088 1784944 1812736 1852312 1912064 1976188 2027648 2039936 2116928 2180948 2326802 2414621 2454298 2492512 2694272 2788016 2804912 2877952 3073154 3091778 3172288 3186304 3458329 3512176 3569888 3625472 3704624 3824128 3952376 4055296 4079872 4233856 4361896 4653604 4829242 4908596 4985024 5388544 5434517 5576032 5609824 6146308 6183556 6344576 6372608 6916658 7024352 7139776 7409248 7904752 8110592 8143807 8159744 8467712 8723792 9307208 9658484 9817192 9970048 10777088 10821223 10869034 11152064 11219648 12292616 12367112 12689152 12745216 12797411 13833316 14048704 14279552 14818496 15809504 16287614 16902347 16935424 17004779 17447584 18614416 19316968 19634384 19940096 21642446 21738068 22304128 22439296 24585232 24734224 25378304 25594822 27666632 28097408 28559104 29636992 31619008 32575228 33804694 34009558 34895168 36065431 37228832 38041619 38633936 39268768 39880192 43284892 43476136 44608256 44878592 47922559 49170464 49468448 51189644 55333264 56194816 57118208 59273984 63238016 65150456 67609388 68019116 69790336 72130862 74457664 76083238 77267872 78537536 86569784 86952272 89216512 89581877 89757184 95845118 98340928 98936896 102379288 110666528 112389632 112849897 118547968 119033453 126476032 130300912 135218776 136038232 139580672 144261724 148915328 152166476 154535744 157075072 173139568 173904544 179163754 191690236 196681856 197873792 204758576 221333056 225699794 238066906 252458017 252952064 260601824 270437552 272076464 279161344 288523448 297830656 304332952 309071488 314150144 335457913 346279136 347809088 358327508 383380472 393363712 395747584 396719741 409517152 442666112 451399588 476133812 504916034 521203648 527148149 540875104 544152928 577046896 595661312 608665904 618142976 628300288 670915826 692558272 695618176 716655016 766760944 786727424 789949279 791495168 793439482 819034304 885332224 902799176 952267624 1009832068 1042407296 1054296298 1081750208 1088305856 1154093792 1217331808 1236285952 1241348867 1341831652 1385116544 1391236352 1433310032 1533521888 1579898558 1586878964 1638068608 1770664448 1805598352 1904535248 2019664136 2084814592 2108592596 2163500416 2176611712 2308187584 2434663616 2482697734 2683663304 2770233088 2777038187 2782472704 2866620064 3067043776 3159797116 3173757928 3276137216 3498346807 3611196704 3690037043 3809070496 4039328272 4169629184 4217185192 4327000832 4353223424 4616375168 4869327232 4965395468 5367326608 5540466176 5554076374 5733240128 6134087552 6319594232 6347515856 6552274432 6996693614 7222393408 7380074086 7618140992 8078656544 8434370384 8654001664 8689442069 8706446848 9232750336 9738654464 9930790936 10734653216 11108152748 11466480256 12268175104 12639188464 12695031712 13993387228 14444786816 14760148172 15236281984 16157313088 16868740768 17378884138 18465500672 19477308928 19861581872 21469306432 22216305496 22932960512 24488427649 24536350208 25278376928 25390063424 27986774456 28889573632 29520296344 30472563968 32314626176 33737481536 34757768276 38481814877 39723163744 42938612864 44432610992 45865921024 48976855298 50556753856 50780126848 55973548912 57779147264 59040592688 60945127936 64629252352 67474963072 69515536552 76963629754 79446327488 85877225728 88865221984 97953710596 101113507712 101560253696 111947097824 118081185376 129258504704 134949926144 139031073104 153927259508 158892654976 171754451456 177730443968 195907421192 202227015424 203120507392 223894195648 236162370752 269372704139 269899852288 278062146208 307854519016 317785309952 355460887936 391814842384 404454030848 447788391296 472324741504 538745408278 556124292416 615709038032 635570619904 710921775872 783629684768 895576782592 944649483008 1077490816556 1112248584832 1231418076064 1421843551744 1567259369536 1791153565184 1889298966016 2154981633112 2224497169664 2462836152128 3134518739072 4309963266224 4448994339328 4925672304256 6269037478144 8619926532448 9851344608512 12538074956288 17239853064896 19702689217024 34479706129792 68959412259584 137918824519168
• Sum of all divisors σ(n): 363235647430656
• Sum of proper divisors (its aliquot sum) s(n): 225316822911488
• 137918824519168 is an abundant number, because the sum of its proper divisors (225316822911488) is greater than itself. Its abundance is 87397998392320

Bases of 137918824519168

• Binary: 11111010110111110111010100010110001011000000000₂
• Hexadecimal: 0x7D6FBA8B1600
• Base-36: 1CVZ175RLS

Squares and roots of 137918824519168

• 137918824519168 squared (137918824519168²) is 19021602156749056306399412224
• 137918824519168 cubed (137918824519168³) is 2623437009930100657403484672706074621509632
• The square root of 137918824519168 is 11743884.5583208965
• The cube root of 137918824519168 is 51666.3580141929

Scales and comparisons

• 137,918,824,519,168 seconds is equal to 4,385,392 years, 3 days, 4 hours, 39 minutes, 28 seconds.
• To count from 1 to 137,918,824,519,168 would take you about ten million, nine hundred sixty-three thousand, four hundred eighty 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 137918824519168 cubic inches would be around 4305.5 feet tall.

Recreational maths with 137918824519168

• 137918824519168 backwards is 861915428819731
• 137918824519168 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 137918824519168's digits is 73
• More coming soon!