137997957242880
137,997,957,242,880 is an even composite number composed of seven prime numbers multiplied together.
137997957242880 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 137997957242880:
213 × 35 × 5 × 7 × 17 × 263 × 443
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 17 × 263 × 443)See below for interesting mathematical facts about the number 137997957242880 from the Numbermatics database.
Names of 137997957242880
- Cardinal: 137997957242880 can be written as One hundred thirty-seven trillion, nine hundred ninety-seven billion, nine hundred fifty-seven million, two hundred forty-two thousand, eight hundred eighty.
Scientific notation
- Scientific notation: 1.3799795724288 × 1014
Factors of 137997957242880
Divisors of 137997957242880
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 20 21 24 27 28 30 32 34 35 36 40 42 45 48 51 54 56 60 63 64 68 70 72 80 81 84 85 90 96 102 105 108 112 119 120 126 128 135 136 140 144 153 160 162 168 170 180 189 192 204 210 216 224 238 240 243 252 255 256 263 270 272 280 288 306 315 320 324 336 340 357 360 378 384 405 408 420 432 443 448 459 476 480 486 504 510 512 526 540 544 560 567 576 595 612 630 640 648 672 680 714 720 756 765 768 789 810 816 840 864 886 896 918 945 952 960 972 1008 1020 1024 1052 1071 1080 1088 1120 1134 1152 1190 1215 1224 1260 1280 1296 1315 1329 1344 1360 1377 1428 1440 1512 1530 1536 1578 1620 1632 1680 1701 1728 1772 1785 1792 1836 1841 1890 1904 1920 1944 2016 2040 2048 2104 2142 2160 2176 2215 2240 2268 2295 2304 2367 2380 2430 2448 2520 2560 2592 2630 2658 2688 2720 2754 2835 2856 2880 3024 3060 3072 3101 3156 3213 3240 3264 3360 3402 3456 3544 3570 3584 3672 3682 3780 3808 3840 3888 3945 3987 4032 4080 4096 4131 4208 4284 4320 4352 4430 4471 4480 4536 4590 4608 4734 4760 4860 4896 5040 5120 5184 5260 5316 5355 5376 5440 5508 5523 5670 5712 5760 6048 6120 6144 6202 6312 6426 6480 6528 6645 6720 6804 6885 6912 7088 7101 7140 7168 7344 7364 7531 7560 7616 7680 7776 7890 7974 8064 8160 8192 8262 8416 8505 8568 8640 8704 8860 8942 8960 9072 9180 9205 9216 9303 9468 9520 9639 9720 9792 10080 10240 10368 10520 10632 10710 10752 10880 11016 11046 11340 11424 11520 11835 11961 12096 12240 12288 12404 12624 12852 12960 13056 13290 13413 13440 13608 13770 13824 14176 14202 14280 14336 14688 14728 15062 15120 15232 15360 15505 15552 15780 15948 16065 16128 16320 16524 16569 16832 17010 17136 17280 17408 17720 17884 17920 18144 18360 18410 18432 18606 18936 19040 19278 19440 19584 19935 20160 20480 20655 20736 21040 21264 21303 21420 21504 21760 22032 22092 22355 22593 22680 22848 23040 23670 23922 24192 24480 24576 24808 25248 25704 25920 26112 26580 26826 26880 27216 27540 27615 27648 27909 28352 28404 28560 28672 28917 29376 29456 30124 30240 30464 30720 31010 31104 31297 31560 31896 32130 32256 32640 33048 33138 33664 34020 34272 34560 34816 35440 35505 35768 35840 35883 36288 36720 36820 36864 37212 37655 37872 38080 38556 38880 39168 39870 40239 40320 40960 41310 41472 42080 42528 42606 42840 43008 43520 44064 44184 44710 45186 45360 45696 46080 46515 47340 47844 48195 48384 48960 49616 49707 50496 51408 51840 52224 52717 53160 53652 53760 54432 55080 55230 55296 55818 56704 56808 57120 57344 57834 58752 58912 59805 60248 60480 60928 61440 62020 62208 62594 63120 63792 63909 64260 64512 65280 66096 66276 67065 67328 67779 68040 68544 69120 69632 70880 71010 71536 71680 71766 72576 73440 73640 73728 74424 75310 75744 76160 77112 77760 78336 79740 80478 80640 82620 82845 82944 83727 84160 85056 85212 85680 86016 87040 88128 88368 89420 90372 90720 91392 92160 93030 93891 94680 95688 96390 96768 97920 99232 99414 100992 102816 103680 104448 105434 106320 106515 107304 107520 107649 108864 110160 110460 110592 111636 112965 113408 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30064914432 30422830080 30803115456 30865121280 31150780416 31709089440 31943971584 32212408320 32794191360 33405460480 33690907530 33823028736 34225683840 34611978240 34980470784 35493301760 35936968032 36238959360 36507396096 37479075840 37581143040 38503894320 38654889984 38938475520 39929964480 40563773440 41070820608 42278785920 42591962112 42949877760 43725588480 44501114880 44921210040 45097371648 45634245120 47915957376 48318612480 48676528128 50108190720 50734543104 51338525760 51917967360 52470706176 53239952640 53905452048 54761094144 56371714560 56789282816 57982334976 58300784640 59894946720 60129828864 60845660160 61606230912 62301560832 63418178880 63887943168 64424816640 65588382720 67381815060 67646057472 68451367680 70986603520 71873936064 72477918720 73014792192 74958151680 75162286080 77007788640 77309779968 77876951040 79859928960 81127546880 82141641216 84557571840 85183924224 87451176960 89842420080 90194743296 91268490240 95831914752 96637224960 100216381440 101469086208 102677051520 103835934720 104941412352 106479905280 107810904096 109522188288 112743429120 113578565632 115964669952 119789893440 121691320320 123212461824 126836357760 127775886336 128849633280 131176765440 134763630120 135292114944 136902735360 141973207040 143747872128 144955837440 146029584384 150324572160 154015577280 155753902080 159719857920 164283282432 169115143680 170367848448 174902353920 179684840160 180389486592 182536980480 191663829504 193274449920 202938172416 205354103040 212959810560 215621808192 219044376576 225486858240 231929339904 239579786880 243382640640 246424923648 253672715520 255551772672 262353530880 269527260240 270584229888 273805470720 283946414080 287495744256 289911674880 300649144320 308031154560 311507804160 319439715840 328566564864 338230287360 340735696896 359369680320 365073960960 383327659008 386548899840 405876344832 410708206080 425919621120 431243616384 438088753152 450973716480 479159573760 492849847296 507345431040 511103545344 524707061760 539054520480 541168459776 547610941440 567892828160 574991488512 579823349760 616062309120 638879431680 657133129728 676460574720 718739360640 730147921920 766655318016 811752689664 821416412160 851839242240 862487232768 901947432960 958319147520 985699694592 1014690862080 1022207090688 1078109040960 1095221882880 1149982977024 1159646699520 1232124618240 1277758863360 1314266259456 1352921149440 1437478721280 1533310636032 1623505379328 1642832824320 1703678484480 1724974465536 1916638295040 1971399389184 2029381724160 2156218081920 2190443765760 2299965954048 2464249236480 2555517726720 2705842298880 2874957442560 3066621272064 3285665648640 3449948931072 3833276590080 3942798778368 4058763448320 4312436163840 4599931908096 4928498472960 5111035453440 5749914885120 6571331297280 6899897862144 7666553180160 8117526896640 8624872327680 9199863816192 9856996945920 11499829770240 13799795724288 15333106360320 17249744655360 19713993891840 22999659540480 27599591448576 34499489310720 45999319080960 68998978621440 137997957242880
- Sum of all divisors σ(n): 603942308057088
- Sum of proper divisors (its aliquot sum) s(n): 465944350814208
- 137997957242880 is an abundant number, because the sum of its proper divisors (465944350814208) is greater than itself. Its abundance is 327946393571328
Bases of 137997957242880
- Binary: 111110110000010001001110011100010100000000000002
- Hexadecimal: 0x7D822738A000
- Base-36: 1CWZDWQO00
Squares and roots of 137997957242880
- 137997957242880 squared (1379979572428802) is 19043436203207736651310694400
- 137997957242880 cubed (1379979572428803) is 2627955294927774289509992277321682255872000
-
The
square root of 137997957242880 is 11747253.1786320159 -
The
cube root of 137997957242880 is 51676.2375404381
Scales and comparisons
How big is 137997957242880?- 137,997,957,242,880 seconds is equal to 4,387,908 years, 9 weeks, 4 days, 4 hours, 48 minutes.
-
To count from 1 to 137,997,957,242,880 would take you about ten million, nine hundred sixty-nine thousand, seven hundred seventy 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 137997957242880 cubic inches would be around 4306.4 feet tall.
Recreational maths with 137997957242880
- 137997957242880 backwards is 088242759799731
- 137997957242880 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137997957242880's digits is 81
- More coming soon!
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"Number 137997957242880 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
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Numbermatics. (2024). Number 137997957242880 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/137997957242880/
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The information we have on file for 137997957242880 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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