137531901613680

Names of 137531901613680

• Cardinal: 137531901613680 can be written as One hundred thirty-seven trillion, five hundred thirty-one billion, nine hundred one million, six hundred thirteen thousand, six hundred eighty.

Scientific notation

• Scientific notation: 1.3753190161368 × 10¹⁴

Factors of 137531901613680

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 215

Divisors of 137531901613680

• Number of divisors d(n): 1440
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 31 35 36 40 42 45 48 49 54 56 60 62 63 70 72 80 81 84 90 93 98 105 108 112 120 124 126 135 140 144 147 155 162 167 168 180 186 189 196 210 216 217 240 243 245 248 252 270 279 280 294 310 315 324 334 336 360 372 378 392 405 420 432 434 441 465 486 490 496 501 504 540 558 560 567 588 620 630 648 651 668 720 735 744 756 784 810 835 837 840 868 882 930 945 972 980 1002 1008 1080 1085 1116 1134 1169 1176 1215 1240 1260 1296 1302 1323 1336 1395 1470 1488 1503 1512 1519 1620 1670 1674 1680 1701 1736 1764 1860 1890 1944 1953 1960 2004 2160 2170 2205 2232 2268 2338 2352 2430 2480 2505 2511 2520 2604 2646 2672 2790 2835 2940 3006 3024 3038 3240 3255 3340 3348 3402 3472 3507 3528 3720 3780 3888 3906 3920 3969 4008 4185 4340 4410 4464 4509 4536 4557 4676 4860 5010 5022 5040 5177 5208 5292 5580 5670 5845 5859 5880 6012 6076 6480 6510 6615 6680 6696 6804 7014 7056 7440 7515 7533 7560 7595 7812 7938 8016 8183 8370 8505 8680 8820 9018 9072 9114 9352 9720 9765 10020 10044 10354 10416 10521 10584 11160 11340 11690 11718 11760 11907 12024 12152 12555 13020 13230 13360 13392 13527 13608 13671 14028 15030 15066 15120 15190 15531 15624 15876 16366 16740 17010 17360 17535 17577 17640 18036 18228 18704 19440 19530 19845 20040 20088 20708 21042 21168 22320 22545 22680 22785 23380 23436 23814 24048 24304 24549 25110 25885 26040 26460 27054 27216 27342 27889 28056 29295 30060 30132 30380 31062 31248 31563 31752 32732 33480 34020 35070 35154 35280 36072 36239 36456 37665 39060 39690 40080 40176 40581 40915 41013 41416 42084 45090 45360 45570 46593 46760 46872 47628 49098 50220 51770 52080 52605 52731 52920 54108 54684 55778 56112 58590 59535 60120 60264 60760 62124 63126 63504 65464 66960 67635 68040 68355 70140 70308 72144 72478 72912 73647 75330 77655 78120 79380 81162 81830 82026 82832 83667 84168 87885 90180 91140 93186 93520 93744 94689 95256 98196 100440 103540 105210 105462 105840 108216 108717 109368 111556 117180 119070 120240 120528 121520 122745 123039 124248 126252 130928 135270 136080 136710 139445 139779 140280 140616 144956 147294 150660 155310 156240 157815 158760 162324 163660 164052 167334 168336 175770 180360 181195 182280 186372 189378 190512 195223 196392 200880 202905 205065 207080 210420 210924 216432 217434 218736 220941 223112 232965 234360 238140 245490 246078 248496 251001 252504 253673 263655 270540 273420 278890 279558 280560 281232 284067 289912 294588 301320 310620 315630 317520 324648 326151 327320 328104 334668 351540 360720 362390 364560 368235 369117 372744 378756 390446 392784 405810 410130 414160 418335 419337 420840 421848 434868 441882 446224 465930 468720 473445 476280 490980 492156 502002 505008 507346 527310 541080 543585 546840 557780 559116 568134 579824 585669 589176 602640 615195 621240 631260 649296 652302 654640 656208 662823 669336 698895 703080 724780 736470 738234 745488 753003 757512 761019 780892 811620 820260 836670 838674 841680 843696 864559 869736 883764 931860 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2165720295 2178688680 2213828820 2263527018 2282156870 2287623114 2310101648 2347361352 2451024765 2465701560 2515030020 2541803460 2598864354 2608179280 2614426416 2640781521 2656594584 2738588244 2801171160 2887627060 2934201690 2941229718 2951771760 3018036024 3032008413 3050164152 3268033020 3320743230 3353373360 3361405392 3389071280 3423235305 3431434671 3465152472 3521042028 3651450992 3772545030 3795135120 3812705190 3898296531 3912268920 3921639624 4042677884 4107882366 4201756740 4331440590 4357377360 4401302535 4427657640 4527054036 4564313740 4575246228 4694722704 4902049530 4931403120 5030060040 5053347355 5083606920 5197728708 5281563042 5313189168 5477176488 5602342320 5658817545 5719057785 5775254120 5868403380 5882459436 6036072048 6064016826 6100328304 6161823549 6497160885 6536066040 6641486460 6846470610 6862869342 6930304944 7042084056 7074686297 7353074295 7545090060 7625410380 7796593062 7824537840 7843279248 7922344563 8085355768 8215764732 8403513480 8662881180 8802605070 8855315280 9054108072 9096025239 9128627480 9150492456 9804099060 10060120080 10106694710 10167213840 10269705915 10294304013 10395457416 10563126084 10954352976 11317635090 11438115570 11550508240 11694889593 11736806760 11764918872 12128033652 12323647098 12994321770 13072132080 13203907605 13282972920 13692941220 13725738684 14084168112 14149372594 14706148590 15090180120 15160042065 15250820760 15593186124 15844689126 16170711536 16431529464 16807026960 17157173355 17325762360 17605210140 18108216144 18192050478 18257254960 18300984912 18485470647 19491482655 19608198120 20213389420 20539411830 20588608026 20790914832 21126252168 21224058891 22635270180 22876231140 23389779186 23473613520 23529837744 24256067304 24647294196 25988643540 26407815210 26565945840 27288075717 27385882440 27451477368 28298745188 29412297180 30180360240 30320084130 30501641520 30809117745 31186372248 31689378252 32863058928 34314346710 34651524720 35084668779 35210420280 35373431485 36384100956 36970941294 38982965310 39216396240 39611722815 40426778840 41078823660 41177216052 42252504336 42448117782 45270540360 45480126195 45752462280 46779558372 48512134608 49294588392 51471520065 51977287080 52815630420 54576151434 54771764880 54902954736 55456411941 56597490376 58474447965 58824594360 60640168260 61618235490 62372744496 63378756504 63672176673 68628693420 70169337558 70420840560 70746862970 72768201912 73941882588 77965930620 79223445630 80853557680 81864227151 82157647320 82354432104 84896235564 90541080720 90960252390 91504924560 92427353235 93559116744 98589176784 102943040130 103954574160 105631260840 106120294455 109152302868 110912823882 113194980752 116948895930 117649188720 121280336520 123236470980 126757513008 127344353346 136440378585 137257386840 140338675116 141493725940 145536403824 147883765176 155931861240 158446891260 163728454302 164315294640 164708864208 169792471128 175423343895 181920504780 184854706470 187118233488 191016530019 205886080260 211262521680 212240588910 218304605736 221825647764 233897791860 242560673040 245592681453 246472941960 254688706692 272880757170 274514773680 277282059705 280677350232 282987451880 295767530352 311863722480 316893782520 318360883365 327456908604 339584942256 350846687790 363841009560 369709412940 382033060038 409321135755 411772160520 424481177820 436609211472 443651295528 467795583720 491185362906 492945883920 509377413384 545761514340 554564119410 561354700464 565974903760 573049590057 633787565040 636721766730 654913817208 701693375580 727682019120 739418825880 764066120076 818642271510 823544321040 848962355640 887302591056 935591167440 955082650095 982370725812 1018754826768 1091523028680 1109128238820 1146099180114 1227963407265 1273443533460 1309827634416 1403386751160 1478837651760 1528132240152 1637284543020 1697924711280 1719148770171 1910165300190 1964741451624 2183046057360 2218256477640 2292198360228 2455926814530 2546887066920 2806773502320 2865247950285 3056264480304 3274569086040 3438297540342 3820330600380 3929482903248 4436512955280 4584396720456 4911853629060 5093774133840 5730495900570 6549138172080 6876595080684 7640661200760 8595743850855 9168793440912 9823707258120 11460991801140 13753190161368 15281322401520 17191487701710 19647414516240 22921983602280 27506380322736 34382975403420 45843967204560 68765950806840 137531901613680
• Sum of all divisors σ(n): 578624685649920
• Sum of proper divisors (its aliquot sum) s(n): 441092784036240
• 137531901613680 is an abundant number, because the sum of its proper divisors (441092784036240) is greater than itself. Its abundance is 303560882422560

Bases of 137531901613680

• Binary: 11111010001010110100100001001000001011001110000₂
• Hexadecimal: 0x7D15A4241670
• Base-36: 1CR1A79300

Squares and roots of 137531901613680

• 137531901613680 squared (137531901613680²) is 18915023961474955387963142400
• 137531901613680 cubed (137531901613680³) is 2601419214489973283074714114690923628032000
• The square root of 137531901613680 is 11727399.6100448457
• The cube root of 137531901613680 is 51617.9971491767

Scales and comparisons

• 137,531,901,613,680 seconds is equal to 4,373,089 years, 2 weeks, 6 days, 19 hours, 48 minutes.
• To count from 1 to 137,531,901,613,680 would take you about ten million, nine hundred thirty-two thousand, seven hundred twenty-two 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 137531901613680 cubic inches would be around 4301.5 feet tall.

Recreational maths with 137531901613680

• 137531901613680 backwards is 086316109135731
• 137531901613680 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 137531901613680's digits is 54
• More coming soon!