138257610200
138,257,610,200 is an even composite number composed of seven prime numbers multiplied together.
138257610200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 138257610200:
23 × 52 × 17 × 29 × 61 × 127 × 181
(2 × 2 × 2 × 5 × 5 × 17 × 29 × 61 × 127 × 181)See below for interesting mathematical facts about the number 138257610200 from the Numbermatics database.
Names of 138257610200
- Cardinal: 138257610200 can be written as One hundred thirty-eight billion, two hundred fifty-seven million, six hundred ten thousand, two hundred.
Scientific notation
- Scientific notation: 1.382576102 × 1011
Factors of 138257610200
Divisors of 138257610200
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 4 5 8 10 17 20 25 29 34 40 50 58 61 68 85 100 116 122 127 136 145 170 181 200 232 244 254 290 305 340 362 425 488 493 508 580 610 635 680 724 725 850 905 986 1016 1037 1160 1220 1270 1448 1450 1525 1700 1769 1810 1972 2074 2159 2440 2465 2540 2900 3050 3077 3175 3400 3538 3620 3683 3944 4148 4318 4525 4930 5080 5185 5249 5800 6100 6154 6350 7076 7240 7366 7747 8296 8636 8845 9050 9860 10370 10498 10795 11041 12200 12308 12325 12700 14152 14732 15385 15494 17272 17690 18100 18415 19720 20740 20996 21590 22082 22987 24616 24650 25400 25925 26245 29464 30073 30770 30988 35380 36200 36830 38735 41480 41992 43180 44164 44225 45974 49300 51850 52490 53975 55205 60146 61540 61976 62611 70760 73660 76925 77470 86360 88328 88450 89233 91948 92075 98600 103700 104980 107950 110410 114935 120292 123080 125222 131225 131699 147320 150365 153850 154940 176900 178466 183896 184150 187697 193675 207400 209960 215900 220820 224663 229870 240584 250444 262450 263398 276025 300730 307700 309880 313055 320189 353800 356932 368300 375394 387350 390779 431800 441640 446165 449326 459740 500888 524900 526796 552050 574675 601460 615400 626110 640378 658495 666623 713864 736600 750788 751825 774700 781558 892330 898652 919480 938485 1049800 1053592 1104100 1123315 1149350 1202920 1252220 1280756 1316990 1333246 1402207 1501576 1503650 1549400 1563116 1565275 1600945 1784660 1797304 1876970 1953895 2208200 2230825 2246630 2298700 2504440 2561512 2633980 2666492 2804414 3007300 3126232 3130550 3201890 3292475 3333115 3569320 3753940 3819271 3907790 4461650 4493260 4597400 4692425 5267960 5332984 5443213 5608828 5616575 6014600 6261100 6403780 6584950 6666230 7011035 7507880 7638542 7815580 8004725 8923300 8986520 9384850 9769475 10886426 11217656 11233150 11332591 12522200 12807560 13169900 13332460 14022070 15277084 15631160 16009450 16665575 17846600 18769700 19096355 19538950 21772852 22466300 22665182 23837519 26339800 26664920 27216065 28044140 30554168 32018900 33331150 35055175 37539400 38192710 39077900 40664003 43545704 44932600 45330364 47675038 54432130 56088280 56662955 64037800 66662300 70110350 76385420 78155800 81328006 90660728 95350076 95481775 108864260 113325910 119187595 133324600 136080325 140220700 152770840 162656012 190700152 190963550 203320015 217728520 226651820 238375190 272160650 280441400 283314775 325312024 381927100 406640030 453303640 476750380 544321300 566629550 595937975 691288051 763854200 813280060 953500760 1016600075 1088642600 1133259100 1191875950 1382576102 1626560120 2033200150 2266518200 2383751900 2765152204 3456440255 4066400300 4767503800 5530304408 6912880510 8132800600 13825761020 17282201275 27651522040 34564402550 69128805100 138257610200
- Sum of all divisors σ(n): 362676787200
- Sum of proper divisors (its aliquot sum) s(n): 224419177000
- 138257610200 is an abundant number, because the sum of its proper divisors (224419177000) is greater than itself. Its abundance is 86161566800
Bases of 138257610200
- Binary: 100000001100001100101110110101110110002
- Hexadecimal: 0x2030CBB5D8
- Base-36: 1RIJ0ES8
Squares and roots of 138257610200
- 138257610200 squared (1382576102002) is 19115166778215144040000
- 138257610200 cubed (1382576102003) is 2642817277330459236419173208000000
-
The
square root of 138257610200 is 371830.0824301337 -
The
cube root of 138257610200 is 5170.8628070883
Scales and comparisons
How big is 138257610200?- 138,257,610,200 seconds is equal to 4,396 years, 8 weeks, 3 days, 19 hours, 43 minutes, 20 seconds.
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To count from 1 to 138,257,610,200 would take you about eight thousand, seven 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 138257610200 cubic inches would be around 430.9 feet tall.
Recreational maths with 138257610200
- 138257610200 backwards is 002016752831
- The number of decimal digits it has is: 12
- The sum of 138257610200's digits is 35
- More coming soon!
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