146139305025168
146,139,305,025,168 is an even composite number composed of seven prime numbers multiplied together.
What does the number 146139305025168 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2240 divisors.
146139305025168 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, two hundred forty divisors.
Prime factorization of 146139305025168:
24 × 36 × 73 × 13 × 61 × 73 × 631
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 13 × 61 × 73 × 631)See below for interesting mathematical facts about the number 146139305025168 from the Numbermatics database.
Names of 146139305025168
- Cardinal: 146139305025168 can be written as One hundred forty-six trillion, one hundred thirty-nine billion, three hundred five million, twenty-five thousand, one hundred sixty-eight.
Scientific notation
- Scientific notation: 1.46139305025168 × 1014
Factors of 146139305025168
Divisors of 146139305025168
- Number of divisors d(n): 2240
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 36 39 42 48 49 52 54 56 61 63 72 73 78 81 84 91 98 104 108 112 117 122 126 144 146 147 156 162 168 182 183 189 196 208 216 219 234 243 244 252 273 292 294 312 324 336 343 351 364 366 378 392 427 432 438 441 468 486 488 504 511 546 549 567 584 588 624 631 637 648 657 686 702 728 729 732 756 784 793 819 854 876 882 936 949 972 976 1008 1022 1029 1053 1092 1098 1134 1168 1176 1262 1274 1281 1296 1314 1323 1372 1404 1456 1458 1464 1512 1533 1586 1638 1647 1701 1708 1752 1764 1872 1893 1898 1911 1944 1971 2044 2058 2106 2184 2196 2268 2352 2379 2457 2524 2548 2562 2628 2646 2744 2808 2847 2916 2928 2989 3024 3066 3087 3159 3172 3276 3294 3402 3416 3504 3528 3577 3786 3796 3822 3843 3888 3942 3969 4088 4116 4212 4368 4392 4417 4453 4459 4536 4599 4758 4914 4941 5048 5096 5103 5124 5256 5292 5488 5551 5616 5679 5694 5733 5832 5913 5978 6132 6174 6318 6344 6552 6588 6643 6804 6832 7056 7137 7154 7371 7572 7592 7644 7686 7884 7938 8176 8203 8232 8424 8541 8784 8834 8906 8918 8967 9072 9198 9261 9477 9516 9828 9882 10096 10192 10206 10248 10512 10584 10731 11102 11358 11388 11466 11529 11664 11826 11907 11956 12264 12348 12636 12688 13104 13176 13251 13286 13359 13377 13608 13797 14274 14308 14742 14823 15144 15184 15288 15372 15768 15876 16406 16464 16653 16848 17037 17082 17199 17668 17739 17812 17836 17934 18396 18522 18954 19032 19656 19764 19929 20412 20496 20923 21168 21411 21462 22113 22204 22716 22776 22932 23058 23652 23814 23912 24528 24609 24696 25039 25272 25623 26352 26502 26572 26718 26754 26901 27216 27594 27783 28548 28616 29484 29646 30288 30576 30744 30919 31171 31536 31752 32193 32812 33306 34074 34164 34398 34587 35336 35478 35624 35672 35721 35868 36792 37044 37908 38064 38491 38857 39312 39528 39753 39858 40077 40131 40824 41391 41846 42822 42924 44226 44408 44469 45432 45552 45864 46063 46116 46501 47304 47628 47824 49218 49392 49959 50078 50544 51111 51246 51597 53004 53144 53217 53436 53508 53802 55188 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5412566852784 5620742500968 6089137709382 6959014525008 8118850279176 9133706564073 10438521787512 11241485001936 12178275418764 16237700558352 18267413128146 20877043575024 24356550837528 36534826256292 48713101675056 73069652512584 146139305025168
- Sum of all divisors σ(n): 550187057996800
- Sum of proper divisors (its aliquot sum) s(n): 404047752971632
- 146139305025168 is an abundant number, because the sum of its proper divisors (404047752971632) is greater than itself. Its abundance is 257908447946464
Bases of 146139305025168
- Binary: 1000010011101001101101010101110100011110100100002
- Hexadecimal: 0x84E9B55D1E90
- Base-36: 1FSVGX0900
Squares and roots of 146139305025168
- 146139305025168 squared (1461393050251682) is 21356696473239093057113428224
- 146139305025168 cubed (1461393050251683) is 3121052780232617495035363200884175081541632
-
The
square root of 146139305025168 is 12088809.0821705013 -
The
cube root of 146139305025168 is 52673.1162127731
Scales and comparisons
How big is 146139305025168?- 146,139,305,025,168 seconds is equal to 4,646,777 years, 44 weeks, 5 days, 11 hours, 52 minutes, 48 seconds.
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To count from 1 to 146,139,305,025,168 would take you about eleven million, six hundred sixteen thousand, nine hundred forty-four 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 146139305025168 cubic inches would be around 4389.4 feet tall.
Recreational maths with 146139305025168
- 146139305025168 backwards is 861520503931641
- 146139305025168 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 146139305025168's digits is 54
- More coming soon!
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The information we have on file for 146139305025168 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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