42388144960
42,388,144,960 is an even composite number composed of six prime numbers multiplied together.
What does the number 42388144960 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 336 divisors.
42388144960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 42388144960:
26 × 5 × 7 × 53 × 67 × 732
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 53 × 67 × 73 × 73)See below for interesting mathematical facts about the number 42388144960 from the Numbermatics database.
Names of 42388144960
- Cardinal: 42388144960 can be written as Forty-two billion, three hundred eighty-eight million, one hundred forty-four thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 4.238814496 × 1010
Factors of 42388144960
Divisors of 42388144960
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 28 32 35 40 53 56 64 67 70 73 80 106 112 134 140 146 160 212 224 265 268 280 292 320 335 365 371 424 448 469 511 530 536 560 584 670 730 742 848 938 1022 1060 1072 1120 1168 1340 1460 1484 1696 1855 1876 2044 2120 2144 2240 2336 2345 2555 2680 2920 2968 3392 3551 3710 3752 3869 4088 4240 4288 4672 4690 4891 5110 5329 5360 5840 5936 7102 7420 7504 7738 8176 8480 9380 9782 10220 10658 10720 11680 11872 14204 14840 15008 15476 16352 16960 17755 18760 19345 19564 20440 21316 21440 23360 23744 24455 24857 26645 27083 28408 29680 30016 30952 32704 34237 35510 37303 37520 38690 39128 40880 42632 48910 49714 53290 54166 56816 59360 61904 68474 71020 74606 75040 77380 78256 81760 85264 97820 99428 106580 108332 113632 118720 123808 124285 135415 136948 142040 149212 150080 154760 156512 163520 170528 171185 186515 195640 198856 213160 216664 227264 247616 248570 259223 270830 273896 282437 284080 298424 309520 313024 341056 342370 357043 373030 391280 397712 426320 433328 497140 518446 541660 547792 564874 568160 596848 619040 684740 714086 746060 782560 795424 852640 866656 994280 1036892 1083320 1095584 1129748 1136320 1193696 1238080 1296115 1369480 1412185 1428172 1492120 1565120 1590848 1705280 1733312 1785215 1814561 1977059 1988560 2073784 2166640 2191168 2259496 2387392 2499301 2592230 2738960 2824370 2856344 2984240 3570430 3629122 3954118 3977120 4147568 4333280 4518992 4998602 5184460 5477920 5648740 5712688 5968480 7140860 7258244 7908236 7954240 8295136 8666560 9037984 9072805 9885295 9997204 10368920 10955840 11297480 11425376 11936960 12496505 14281720 14516488 15816472 16590272 18075968 18145610 18923279 19770590 19994408 20737840 22594960 22850752 24993010 28563440 29032976 31632944 36291220 37846558 39541180 39988816 41475680 45189920 49986020 57126880 58065952 63265888 72582440 75693116 79082360 79977632 82951360 90379840 94616395 99972040 114253760 116131904 126531776 132462953 145164880 151386232 158164720 159955264 189232790 199944080 264925906 290329760 302772464 316329440 378465580 399888160 529851812 580659520 605544928 632658880 662314765 756931160 799776320 1059703624 1211089856 1324629530 1513862320 2119407248 2649259060 3027724640 4238814496 5298518120 6055449280 8477628992 10597036240 21194072480 42388144960
- Sum of all divisors σ(n): 120943518336
- Sum of proper divisors (its aliquot sum) s(n): 78555373376
- 42388144960 is an abundant number, because the sum of its proper divisors (78555373376) is greater than itself. Its abundance is 36167228416
Bases of 42388144960
- Binary: 1001110111101000011111000011010000002
- Hexadecimal: 0x9DE87C340
- Base-36: JH0T1Z4
Squares and roots of 42388144960
- 42388144960 squared (423881449602) is 1796754833149973401600
- 42388144960 cubed (423881449603) is 76161104325141685967165095936000
-
The
square root of 42388144960 is 205883.8142254023 -
The
cube root of 42388144960 is 3486.7017813385
Scales and comparisons
How big is 42388144960?- 42,388,144,960 seconds is equal to 1,347 years, 42 weeks, 1 day, 12 hours, 42 minutes, 40 seconds.
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To count from 1 to 42,388,144,960 would take you about two thousand, six hundred ninety-five 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 42388144960 cubic inches would be around 290.6 feet tall.
Recreational maths with 42388144960
- 42388144960 backwards is 06944188324
- The number of decimal digits it has is: 11
- The sum of 42388144960's digits is 49
- More coming soon!
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