137427833088

Names of 137427833088

• Cardinal: 137427833088 can be written as One hundred thirty-seven billion, four hundred twenty-seven million, eight hundred thirty-three thousand and eighty-eight.

Scientific notation

• Scientific notation: 1.37427833088 × 10¹¹

Factors of 137427833088

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 139

Divisors of 137427833088

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 41 42 48 52 54 56 63 64 72 73 78 82 84 91 96 104 108 112 117 123 126 128 144 146 156 164 168 182 189 192 208 216 219 224 234 246 252 256 273 287 288 292 312 328 336 351 364 369 378 384 416 432 438 448 468 492 504 511 533 546 574 576 584 624 656 657 672 702 728 738 756 768 819 832 861 864 876 896 936 949 984 1008 1022 1066 1092 1107 1148 1152 1168 1248 1312 1314 1344 1404 1456 1476 1512 1533 1599 1638 1664 1722 1728 1752 1792 1872 1898 1968 1971 2016 2044 2132 2184 2214 2296 2304 2336 2457 2496 2583 2624 2628 2688 2808 2847 2912 2952 2993 3024 3066 3198 3276 3328 3444 3456 3504 3731 3744 3796 3936 3942 4032 4088 4264 4368 4428 4592 4599 4672 4797 4914 4992 5166 5248 5256 5329 5376 5616 5694 5824 5904 5986 6048 6132 6396 6552 6643 6888 6912 7008 7462 7488 7592 7749 7872 7884 8064 8176 8528 8541 8736 8856 8979 9184 9198 9344 9594 9828 9984 10332 10496 10512 10658 11193 11232 11388 11648 11808 11972 12096 12264 12792 13104 13286 13776 13797 14016 14391 14924 14976 15184 15498 15744 15768 15987 16128 16352 17056 17082 17472 17712 17958 18368 18396 18688 19188 19656 19929 20664 20951 21024 21316 22386 22464 22776 23296 23616 23944 24192 24528 25584 25623 26208 26572 26937 27552 27594 28032 28782 29848 29952 30368 30996 31488 31536 31974 32704 33579 34112 34164 34944 35424 35916 36736 36792 37303 38376 38909 39312 39858 41328 41902 42048 42632 44772 44928 45552 47232 47888 47961 48384 49056 51168 51246 52416 53144 53874 55104 55188 56064 57564 59696 59787 60736 61992 62853 63072 63948 65408 67158 68224 68328 69277 69888 70848 71832 73472 73584 74606 76752 77818 78624 79716 80811 82656 83804 84096 85264 89544 89856 91104 94464 95776 95922 98112 100737 102336 102492 104832 106288 107748 110208 110376 111909 115128 116727 119392 119574 121472 123984 125706 126144 127896 130816 134316 136448 136656 138554 141696 143664 143883 147168 149212 153504 155636 157248 159432 161622 165312 167608 168192 170528 179088 179361 182208 188559 191552 191844 196224 201474 204672 204984 207831 209664 212576 215496 218489 220416 220752 223818 230256 233454 238784 239148 242944 247968 251412 252288 255792 268632 272363 273312 277108 283392 287328 287766 294336 298424 307008 311272 314496 318864 323244 330624 335216 335727 341056 350181 358176 358722 364416 377118 383104 383688 392448 402948 409344 409968 415662 425152 430992 436978 441504 447636 460512 466908 477568 478296 484939 495936 502824 504576 511584 537264 544726 546624 554216 565677 574656 575532 588672 596848 614016 622544 623493 628992 637728 646488 655467 661248 670432 671454 682112 700362 716352 717444 728832 754236 766208 767376 805896 817089 819936 831324 850304 861984 873956 883008 895272 921024 933816 955136 956592 969878 991872 1005648 1007181 1023168 1050543 1074528 1089452 1093248 1108432 1131354 1149312 1151064 1177344 1193696 1228032 1245088 1246986 1275456 1292976 1310934 1340864 1342908 1364224 1400724 1432704 1434888 1454817 1508472 1529423 1534752 1611792 1634178 1639872 1662648 1700608 1723968 1747912 1766016 1790544 1842048 1867632 1870479 1913184 1939756 1966401 1983744 2011296 2014362 2046336 2101086 2149056 2178904 2186496 2216864 2262708 2298624 2302128 2387392 2451267 2490176 2493972 2550912 2585952 2621868 2681728 2685816 2801448 2840357 2865408 2869776 2909634 3016944 3058846 3069504 3223584 3268356 3279744 3325296 3447936 3495824 3532032 3581088 3684096 3735264 3740958 3826368 3879512 3932802 4022592 4028724 4092672 4202172 4298112 4357808 4364451 4433728 4525416 4588269 4604256 4774784 4902534 4980352 4987944 5101824 5171904 5243736 5363456 5371632 5602896 5680714 5739552 5819268 5899203 6033888 6117692 6139008 6447168 6536712 6559488 6650592 6895872 6991648 7162176 7353801 7470528 7481916 7652736 7759024 7865604 8045184 8057448 8404344 8521071 8596224 8715616 8728902 8867456 9050832 9176538 9208512 9549568 9805068 9960704 9975888 10343808 10487472 10743264 11205792 11361428 11479104 11638536 11798406 12067776 12235384 12278016 12894336 13073424 13093353 13301184 13764807 13983296 14324352 14707602 14941056 14963832 15305472 15518048 15731208 16090368 16114896 16808688 17042142 17431232 17457804 17734912 18101664 18353076 18417024 19610136 19882499 19951776 20687616 20974944 21486528 22411584 22722856 22958208 23277072 23596812 24135552 24470768 25563213 25788672 26146848 26186706 26602368 27529614 27966592 28648704 29415204 29882112 29927664 31036096 31462416 32229792 33617376 34084284 34862464 34915608 36203328 36706152 36834048 39220272 39764998 39903552 41294421 41949888 42973056 44823168 45445712 45916416 46554144 47193624 48271104 48941536 51126426 52293696 52373412 53204736 55059228 55933184 58830408 59647497 59855328 62072192 62924832 64459584 67234752 68168568 69724928 69831216 72406656 73412304 76689639 78440544 79529996 79807104 82588842 83899776 85946112 89646336 90891424 93108288 94387248 97883072 102252852 104587392 104746824 110118456 117660816 119294994 119710656 124144384 125849664 128919168 134469504 136337136 139662432 144813312 146824608 153379278 156881088 159059992 159614208 165177684 167799552 178942491 181782848 186216576 188774496 195766144 204505704 209174784 209493648 220236912 235321632 238589988 239421312 251699328 257838336 268939008 272674272 279324864 293649216 306758556 313762176 318119984 330355368 357884982 363565696 372433152 377548992 391532288 409011408 418987296 440473824 470643264 477179976 478842624 503398656 536827473 545348544 558649728 587298432 613517112 627524352 636239968 660710736 715769964 727131392 755097984 818022816 837974592 880947648 941286528 954359952 1073654946 1090697088 1117299456 1174596864 1227034224 1272479936 1321421472 1431539928 1510195968 1636045632 1675949184 1761895296 1882573056 1908719904 2147309892 2181394176 2454068448 2544959872 2642842944 2863079856 3272091264 3351898368 3523790592 3817439808 4294619784 4908136896 5089919744 5285685888 5726159712 6544182528 7634879616 8589239568 9816273792 10571371776 11452319424 15269759232 17178479136 19632547584 22904638848 34356958272 45809277696 68713916544 137427833088
• Sum of all divisors σ(n): 519497153280
• Sum of proper divisors (its aliquot sum) s(n): 382069320192
• 137427833088 is an abundant number, because the sum of its proper divisors (382069320192) is greater than itself. Its abundance is 244641487104

Bases of 137427833088

• Binary: 1111111111111010101100101000100000000₂
• Hexadecimal: 0x1FFF565100
• Base-36: 1R4SZEO0

Squares and roots of 137427833088

• 137427833088 squared (137427833088²) is 18886409307263187615744
• 137427833088 cubed (137427833088³) is 2595518305910215053743295112937472
• The square root of 137427833088 is 370712.6017388673
• The cube root of 137427833088 is 5160.4974317639

Scales and comparisons

• 137,427,833,088 seconds is equal to 4,369 years, 40 weeks, 3 days, 22 hours, 4 minutes, 48 seconds.
• To count from 1 to 137,427,833,088 would take you about eight thousand, seven hundred thirty-nine 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 137427833088 cubic inches would be around 430 feet tall.

Recreational maths with 137427833088

• 137427833088 backwards is 880338724731
• 137427833088 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137427833088's digits is 54
• More coming soon!