137499776129673216

Names of 137499776129673216

• Cardinal: 137499776129673216 can be written as One hundred thirty-seven quadrillion, four hundred ninety-nine trillion, seven hundred seventy-six billion, one hundred twenty-nine million, six hundred seventy-three thousand, two hundred sixteen.

Scientific notation

• Scientific notation: 1.37499776129673216 × 10¹⁷

Factors of 137499776129673216

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 535470

Divisors of 137499776129673216

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 243 252 256 288 324 336 378 384 432 448 486 504 512 567 576 648 672 756 768 864 896 972 1008 1024 1134 1152 1296 1344 1512 1536 1701 1728 1792 1944 2016 2048 2268 2304 2592 2688 3024 3072 3402 3456 3584 3888 4032 4536 4608 5184 5376 6048 6144 6804 6912 7168 7776 8064 9072 9216 10368 10752 12096 13608 13824 14336 15552 16128 18144 18432 20736 21504 24192 27216 27648 31104 32256 36288 41472 43008 48384 54432 55296 62208 64512 72576 82944 88261 96768 108864 124416 129024 145152 165888 176522 193536 217728 248832 264783 290304 353044 387072 435456 447197 497664 529566 580608 617827 706088 794349 870912 894394 1059132 1161216 1235654 1341591 1412176 1588698 1741824 1788788 1853481 2118264 2383047 2471308 2683182 2824352 3130379 3177396 3483648 3577576 3706962 4024773 4236528 4766094 4942616 5366364 5560443 5648704 6260758 6354792 7149141 7155152 7413924 8049546 8473056 9391137 9532188 9885232 10732728 11120886 11297408 12074319 12521516 12709584 14298282 14310304 14827848 16099092 16681329 16946112 18782274 19064376 19770464 21447423 21465456 22241772 22594816 24148638 25043032 25419168 28173411 28596564 28620608 29655696 32198184 33362658 33892224 36222957 37564548 38128752 39540928 42894846 42930912 44483544 45189632 48297276 50043987 50086064 50838336 56346822 57193128 57241216 59311392 64396368 66725316 67784448 72445914 75129096 76257504 79081856 84520233 85789692 85861824 88967088 90379264 96594552 100087974 100172128 101676672 108668871 112693644 114386256 114482432 118622784 128792736 133450632 135568896 144891828 150131961 150258192 152515008 158163712 169040466 171579384 171723648 177934176 180758528 193189104 200175948 200344256 203353344 217337742 225387288 228772512 228964864 237245568 253560699 257585472 266901264 271137792 289783656 300263922 300516384 305030016 316327424 338080932 343158768 343447296 355868352 386378208 400351896 400688512 406706688 434675484 450774576 457545024 457929728 474491136 507121398 515170944 533802528 542275584 579567312 600527844 601032768 610060032 632654848 676161864 686317536 686894592 711736704 760682097 772756416 800703792 801377024 813413376 869350968 901549152 915090048 915859456 948982272 1014242796 1030341888 1067605056 1159134624 1201055688 1202065536 1220120064 1265309696 1352323728 1372635072 1373789184 1423473408 1521364194 1545512832 1601407584 1602754048 1626826752 1738701936 1803098304 1830180096 1897964544 2028485592 2060683776 2135210112 2318269248 2402111376 2404131072 2440240128 2704647456 2745270144 2747578368 2846946816 3042728388 3091025664 3202815168 3205508096 3477403872 3606196608 3660360192 3795929088 4056971184 4121367552 4270420224 4636538496 4804222752 4808262144 4880480256 5409294912 5490540288 5693893632 6085456776 6182051328 6405630336 6411016192 6954807744 7212393216 7320720384 8113942368 8242735104 8540840448 9273076992 9608445504 9616524288 10818589824 10981080576 11387787264 12170913552 12364102656 12811260672 13909615488 14424786432 14641440768 16227884736 17081680896 18546153984 19216891008 19233048576 21637179648 21962161152 24341827104 24728205312 25622521344 27819230976 28849572864 32455769472 34163361792 37092307968 38433782016 39470054417 43274359296 43924322304 48683654208 51245042688 55638461952 57699145728 64911538944 74184615936 76867564032 78940108834 86548718592 97367308416 102490085376 111276923904 118410163251 129823077888 153735128064 157880217668 173097437184 194734616832 222553847808 236820326502 259646155776 276290380919 307470256128 315760435336 355230489753 389469233664 473640653004 519292311552 552580761838 631520870672 710460979506 778938467328 828871142757 947281306008 1065691469259 1105161523676 1263041741344 1420921959012 1557876934656 1657742285514 1894562612016 2131382938518 2210323047352 2486613428271 2526083482688 2841843918024 3197074407777 3315484571028 3789125224032 4262765877036 4420646094704 4973226856542 5052166965376 5683687836048 6394148815554 6630969142056 7459840284813 7578250448064 8525531754072 8841292189408 9591223223331 9946453713084 10104333930752 11367375672096 12788297631108 13261938284112 14919680569626 15156500896128 17051063508144 17682584378816 19182446446662 19892907426168 20208667861504 22379520854439 22734751344192 25576595262216 26523876568224 29839361139252 30313001792256 34102127016288 35365168757632 38364892893324 39785814852336 40417335723008 44759041708878 45469502688384 51153190524432 53047753136448 59678722278504 60626003584512 67138562563317 68204254032576 70730337515264 76729785786648 79571629704672 80834671446016 89518083417756 90939005376768 102306381048864 106095506272896 119357444557008 121252007169024 134277125126634 136408508065152 141460675030528 153459571573296 159143259409344 179036166835512 181878010753536 204612762097728 212191012545792 238714889114016 242504014338048 268554250253268 272817016130304 282921350061056 306919143146592 318286518818688 358072333671024 363756021507072 409225524195456 424382025091584 477429778228032 537108500506536 545634032260608 565842700122112 613838286293184 636573037637376 716144667342048 727512043014144 818451048390912 848764050183168 954859556456064 1074217001013072 1091268064521216 1227676572586368 1273146075274752 1432289334684096 1636902096781824 1697528100366336 1909719112912128 2148434002026144 2182536129042432 2455353145172736 2546292150549504 2864578669368192 3273804193563648 3819438225824256 4296868004052288 4910706290345472 5092584301099008 5729157338736384 6547608387127296 7638876451648512 8593736008104576 9821412580690944 11458314677472768 15277752903297024 17187472016209152 19642825161381888 22916629354945536 34374944032418304 45833258709891072 68749888064836608 137499776129673216
• Sum of all divisors σ(n): 470672574858944640
• Sum of proper divisors (its aliquot sum) s(n): 333172798729271424
• 137499776129673216 is an abundant number, because the sum of its proper divisors (333172798729271424) is greater than itself. Its abundance is 195673022599598208

Bases of 137499776129673216

• Binary: 111101000011111110101000101100000111001111010100000000000₂
• Hexadecimal: 0x1E87F5160E7A800
• Base-36: 11LVLP4OLC00

Squares and roots of 137499776129673216

• 137499776129673216 squared (137499776129673216²) is 18906188435710252323214374947782656
• 137499776129673216 cubed (137499776129673216³) is 2599596677375576352106013818222806353593865072541696
• The square root of 137499776129673216 is 370809622.4879732217
• The cube root of 137499776129673216 is 516139.7776105931

Scales and comparisons

• 137,499,776,129,673,216 seconds is equal to 4,372,067,566 years, 9 weeks, 6 days, 10 hours, 33 minutes, 36 seconds.
• To count from 1 to 137,499,776,129,673,216 would take you about thirteen billion, one hundred sixteen million, two hundred two thousand, six hundred ninety-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 137499776129673216 cubic inches would be around 43011.6 feet tall.

Recreational maths with 137499776129673216

• 137499776129673216 backwards is 612376921677994731
• The number of decimal digits it has is: 18
• The sum of 137499776129673216's digits is 90
• More coming soon!