136107901165993120
136,107,901,165,993,120 is an even composite number composed of six prime numbers multiplied together.
What does the number 136107901165993120 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2016 divisors.
136107901165993120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 136107901165993120:
25 × 5 × 7 × 132 × 176 × 313
(2 × 2 × 2 × 2 × 2 × 5 × 7 × 13 × 13 × 17 × 17 × 17 × 17 × 17 × 17 × 31 × 31 × 31)See below for interesting mathematical facts about the number 136107901165993120 from the Numbermatics database.
Names of 136107901165993120
- Cardinal: 136107901165993120 can be written as One hundred thirty-six quadrillion, one hundred seven trillion, nine hundred one billion, one hundred sixty-five million, nine hundred ninety-three thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.3610790116599312 × 1017
Factors of 136107901165993120
Divisors of 136107901165993120
- Number of divisors d(n): 2016
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 17 20 26 28 31 32 34 35 40 52 56 62 65 68 70 80 85 91 104 112 119 124 130 136 140 155 160 169 170 182 208 217 221 224 238 248 260 272 280 289 310 338 340 364 403 416 434 442 455 476 496 520 527 544 560 578 595 620 676 680 728 806 845 868 884 910 952 961 992 1040 1054 1085 1105 1120 1156 1183 1190 1240 1352 1360 1445 1456 1547 1612 1690 1736 1768 1820 1904 1922 2015 2023 2080 2108 2170 2210 2312 2366 2380 2480 2635 2704 2720 2821 2873 2890 2912 3094 3224 3380 3472 3536 3640 3689 3757 3808 3844 4030 4046 4216 4340 4420 4624 4732 4760 4805 4913 4960 5239 5270 5408 5642 5746 5780 5915 6188 6448 6727 6760 6851 6944 7072 7280 7378 7514 7688 7735 8060 8092 8432 8680 8840 8959 9248 9464 9520 9610 9826 10115 10478 10540 11284 11492 11560 11830 12376 12493 12896 13454 13520 13702 14105 14365 14560 14756 15028 15376 15470 16120 16184 16337 16864 17360 17680 17918 18445 18785 18928 19040 19220 19652 20111 20230 20956 21080 22568 22984 23120 23660 24565 24752 24986 26195 26299 26908 27040 27404 28210 28730 29512 29791 30056 30752 30940 32240 32368 32674 33635 34255 34391 34720 35360 35836 36673 36890 37570 37856 38440 39304 40222 40460 41912 42160 44795 45136 45968 46240 47320 47957 48841 49130 49504 49972 52390 52598 53816 54808 56420 57460 59024 59582 60112 61880 62465 62713 63869 64480 64736 65348 67270 68510 68782 71672 73346 73780 75140 76880 78608 80444 80920 81685 83521 83824 84320 87451 89063 89590 90272 91936 94640 95914 97682 98260 99944 100555 104780 105196 107632 109616 112840 114359 114920 116467 118048 119164 120224 123760 124930 125426 127738 130696 131495 134540 137020 137564 143344 146692 147560 148955 150280 152303 153760 157216 160888 161840 162409 163370 167042 167648 171955 174902 178126 179180 183365 189280 191828 195364 196520 199888 201110 208537 209560 210392 212381 215264 219232 225680 228718 229840 232934 238328 239785 244205 247520 249860 250852 255476 261392 262990 269080 274040 275128 277729 286688 293384 295120 297910 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2617459637807560 3402697529149828 3888797176171232 4003173563705680 4253371911437285 4390577456967520 4860996470214040 5234919275615120 6805395058299656 8006347127411360 8506743822874570 9721992940428080 10469838551230240 13610790116599312 17013487645749140 19443985880856160 27221580233198624 34026975291498280 68053950582996560 136107901165993120
- Sum of all divisors σ(n): 436898338234315776
- Sum of proper divisors (its aliquot sum) s(n): 300790437068322656
- 136107901165993120 is an abundant number, because the sum of its proper divisors (300790437068322656) is greater than itself. Its abundance is 164682535902329536
Bases of 136107901165993120
- Binary: 1111000111000110101101010001111000001111101111100101000002
- Hexadecimal: 0x1E38D6A3C1F7CA0
- Base-36: 118682LKD3TS
Squares and roots of 136107901165993120
- 136107901165993120 squared (1361079011659931202) is 18525360759811751314835955887334400
- 136107901165993120 cubed (1361079011659931203) is 2521447971360825058243035328567400275015405539328000
-
The
square root of 136107901165993120 is 368928043.3444889535 -
The
cube root of 136107901165993120 is 514392.2842787685
Scales and comparisons
How big is 136107901165993120?- 136,107,901,165,993,120 seconds is equal to 4,327,810,247 years, 36 weeks, 1 day, 22 hours, 58 minutes, 40 seconds.
-
To count from 1 to 136,107,901,165,993,120 would take you about twelve billion, nine hundred eighty-three million, four hundred thirty thousand, seven hundred forty-three 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 136107901165993120 cubic inches would be around 42866 feet tall.
Recreational maths with 136107901165993120
- 136107901165993120 backwards is 021399561109701631
- The number of decimal digits it has is: 18
- The sum of 136107901165993120's digits is 64
- More coming soon!
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"Number 136107901165993120 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
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Numbermatics. (2024). Number 136107901165993120 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/136107901165993120/
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The information we have on file for 136107901165993120 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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