137940921703473840
137,940,921,703,473,840 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137940921703473840 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1620 divisors.
137940921703473840 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, six hundred twenty divisors.
Prime factorization of 137940921703473840:
24 × 32 × 5 × 7 × 672 × 1132 × 6912
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 67 × 67 × 113 × 113 × 691 × 691)See below for interesting mathematical facts about the number 137940921703473840 from the Numbermatics database.
Names of 137940921703473840
- Cardinal: 137940921703473840 can be written as One hundred thirty-seven quadrillion, nine hundred forty trillion, nine hundred twenty-one billion, seven hundred three million, four hundred seventy-three thousand, eight hundred forty.
Scientific notation
- Scientific notation: 1.3794092170347384 × 1017
Factors of 137940921703473840
Divisors of 137940921703473840
- Number of divisors d(n): 1620
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 67 70 72 80 84 90 105 112 113 120 126 134 140 144 168 180 201 210 226 240 252 268 280 315 335 336 339 360 402 420 452 469 504 536 560 565 603 630 670 678 691 720 791 804 840 904 938 1005 1008 1017 1072 1130 1206 1260 1340 1356 1382 1407 1582 1608 1680 1695 1808 1876 2010 2034 2073 2260 2345 2373 2412 2520 2680 2712 2764 2814 3015 3164 3216 3390 3455 3752 3955 4020 4068 4146 4221 4489 4520 4690 4746 4824 4837 5040 5085 5360 5424 5528 5628 6030 6219 6328 6780 6910 7035 7119 7504 7571 7910 8040 8136 8292 8442 8978 9040 9380 9492 9648 9674 10170 10365 11056 11256 11865 12060 12438 12656 12769 13467 13560 13820 14070 14238 14511 15142 15820 16080 16272 16584 16884 17956 18760 18984 19348 20340 20730 21105 22445 22512 22713 23730 24120 24185 24876 25538 26934 27120 27640 28140 28476 29022 30284 31095 31423 31640 33168 33768 35595 35912 37520 37855 37968 38307 38696 40401 40680 41460 42210 43533 44890 45426 46297 47460 48240 48370 49752 51076 52997 53868 55280 56280 56952 58044 60568 62190 62846 63280 63845 67335 67536 68139 71190 71824 72555 75710 76614 77392 78083 80802 81360 82920 84420 87066 89383 89780 90852 92594 94269 94920 96740 99504 102152 105994 107736 112560 113565 113904 114921 116088 121136 124380 125692 127690 134670 136278 138891 142380 145110 151420 153228 156166 157115 158991 161604 165840 168840 174132 178766 179560 181704 185188 188538 189840 191535 193480 202005 204304 211988 215472 217665 227130 229842 231485 232176 234249 248760 251384 255380 264985 268149 269340 272556 277782 282807 284760 290220 302840 306456 312332 314230 317982 323208 324079 337680 340695 348264 357532 359120 363408 370376 377076 383070 386960 390415 404010 416673 423976 435330 446915 454260 459684 462970 468498 471345 476973 477481 497520 502768 507257 510760 529970 536298 538680 545112 546581 555564 565614 569520 574605 580440 605680 612912 624664 628460 635964 646416 648158 681390 694455 696528 702747 715064 740752 754152 766140 780830 794955 804447 808020 833346 847952 855523 870660 893830 908520 919368 925940 936996 942690 953946 954962 972237 1014514 1021520 1059940 1072596 1077360 1090224 1093162 1111128 1131228 1149210 1160880 1171245 1249328 1256920 1271928 1296316 1340745 1362780 1388910 1405494 1414035 1430128 1432443 1508304 1521771 1532280 1561660 1589910 1608894 1616040 1620395 1639743 1666692 1711046 1741320 1787660 1817040 1838736 1851880 1873992 1885380 1907892 1909924 1944474 2029028 2083365 2119880 2145192 2186324 2222256 2262456 2298420 2342490 2384865 2387405 2513840 2536285 2543856 2566569 2592632 2681490 2725560 2732905 2777820 2810988 2828070 2864886 2916711 3043542 3064560 3101899 3123320 3179820 3217788 3232080 3240790 3279486 3333384 3342367 3422092 3482640 3513735 3550799 3575320 3703760 3747984 3770760 3815784 3819848 3888948 4022235 4058056 4166730 4239760 4277615 4290384 4297329 4372648 4524912 4565313 4596840 4684980 4769730 4774810 4861185 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600155418520 607321453368 633730373296 640180263345 650701557180 675174845835 682858947568 712946669958 720186502224 726616738851 731634586680 744869655180 759151816710 768216316014 771628395240 792162966620 816991955126 831771114951 853573684460 867602076240 877961504016 883296759240 900233127780 910982180052 950595559944 968822318468 993159540240 1012202422280 1024288421352 1080279753336 1097451880020 1109028153268 1138727725065 1188244449930 1200310837040 1211027898085 1214642906736 1225487932689 1280360526690 1301403114360 1350349691670 1386285191585 1425893339916 1453233477702 1463269173360 1489739310360 1518303633420 1536432632028 1543256790480 1584325933240 1633983910252 1663542229902 1695439057319 1707147368920 1766593518480 1782366674895 1800466255560 1821964360104 1901191119888 1920540790035 1937644636936 2024404844560 2042479887815 2048576842704 2160559506672 2179850216553 2194903760040 2218056306536 2277455450130 2376488899860 2422055796170 2450975865378 2495313344853 2560721053380 2602806228720 2700699383340 2772570383170 2851786679832 2859471842941 2906466955404 2979478620720 3036607266840 3072865264056 3168651866480 3267967820504 3327084459804 3390878114638 3414294737840 3564733349790 3600932511120 3633083694255 3643928720208 3676463798067 3841081580070 3875289273872 4084959775630 4158855574755 4359700433106 4389807520080 4436112613072 4554910900260 4752977799720 4844111592340 4901951730756 4990626689706 5086317171957 5121442106760 5401398766680 5545140766340 5703573359664 5718943685882 5812933910808 6073214533680 6127439663445 6145730528112 6535935641008 6654168919608 6781756229276 7129466699580 7266167388510 7352927596134 7682163160140 8169919551260 8317711149510 8477195286595 8578415528823 8719400866212 9109821800520 9505955599440 9688223184680 9803903461512 9981253379412 10172634343914 10242884213520 10802797533360 10899251082765 11090281532680 11437887371764 11625867821616 12254879326890 12476566724265 13308337839216 13563512458552 14258933399160 14297359214705 14532334777020 14705855192268 15258951515871 15364326320280 16339839102520 16635422299020 16954390573190 17156831057646 17438801732424 18219643601040 18382318990335 19376446369360 19607806923024 19962506758824 20345268687828 21798502165530 22180563065360 22875774743528 24509758653780 24953133448530 25431585859785 25735246586469 27127024917104 27369230496721 28517866798320 28594718429410 29064669554040 29411710384536 30517903031742 30728652640560 32679678205040 33270844598040 33908781146380 34313662115292 34877603464848 36764637980670 39925013517648 40690537375656 42892077644115 43597004331060 45751549487056 49019517307560 49906266897060 50863171719570 51470493172938 54738460993442 57189436858820 58129339108080 58823420769072 61035806063484 66541689196080 67817562292760 68627324230584 73529275961340 76294757579355 81381074751312 82107691490163 85784155288230 87194008662120 98039034615120 99812533794120 101726343439140 102940986345876 109476921986884 114378873717640 122071612126968 128676232932345 135635124585520 136846152483605 137254648461168 147058551922680 152589515158710 164215382980326 171568310576460 174388017324240 191584613477047 199625067588240 203452686878280 205881972691752 218953843973768 228757747435280 244143224253936 246323074470489 257352465864690 273692304967210 294117103845360 305179030317420 328430765960652 343136621152920 383169226954094 406905373756560 410538457450815 411763945383504 437907687947536 492646148940978 514704931729380 547384609934420 574753840431141 610358060634840 656861531921304 686273242305840 766338453908188 821076914901630 957923067385235 985292297881956 1029409863458760 1094769219868840 1149507680862282 1220716121269680 1231615372352445 1313723063842608 1532676907816376 1642153829803260 1724261521293423 1915846134770470 1970584595763912 2058819726917520 2189538439737680 2299015361724564 2463230744704890 2873769202155705 3065353815632752 3284307659606520 3448523042586846 3831692269540940 3941169191527824 4598030723449128 4926461489409780 5747538404311410 6568615319213040 6897046085173692 7663384539081880 8621307606467115 9196061446898256 9852922978819560 11495076808622820 13794092170347384 15326769078163760 17242615212934230 19705845957639120 22990153617245640 27588184340694768 34485230425868460 45980307234491280 68970460851736920 137940921703473840
- Sum of all divisors σ(n): 543034433669927472
- Sum of proper divisors (its aliquot sum) s(n): 405093511966453632
- 137940921703473840 is an abundant number, because the sum of its proper divisors (405093511966453632) is greater than itself. Its abundance is 267152590262979792
Bases of 137940921703473840
- Binary: 1111010100001000010001001100101100010000000100010101100002
- Hexadecimal: 0x1EA1089962022B0
- Base-36: 11Q7Z4LX6X80
Squares and roots of 137940921703473840
- 137940921703473840 squared (1379409217034738402) is 19027697880403900272888723564345600
- 137940921703473840 cubed (1379409217034738403) is 2624698183518149549922014334926313084806286319104000
-
The
square root of 137940921703473840 is 371403987.1938289249 -
The
cube root of 137940921703473840 is 516691.1717360405
Scales and comparisons
How big is 137940921703473840?- 137,940,921,703,473,840 seconds is equal to 4,386,094,630 years, 46 weeks, 1 hour, 24 minutes.
-
To count from 1 to 137,940,921,703,473,840 would take you about thirteen billion, one hundred fifty-eight million, two hundred eighty-three thousand, eight hundred ninety-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 137940921703473840 cubic inches would be around 43057.6 feet tall.
Recreational maths with 137940921703473840
- 137940921703473840 backwards is 048374307129049731
- 137940921703473840 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 137940921703473840's digits is 72
- More coming soon!
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"Number 137940921703473840 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
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Numbermatics. (2024). Number 137940921703473840 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/137940921703473840/
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Numbermatics. 2024. "Number 137940921703473840 - Facts about the integer". https://numbermatics.com/n/137940921703473840/
The information we have on file for 137940921703473840 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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