142438920
142,438,920 is an even composite number composed of seven prime numbers multiplied together.
142438920 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 142438920:
23 × 3 × 5 × 13 × 17 × 41 × 131
(2 × 2 × 2 × 3 × 5 × 13 × 17 × 41 × 131)See below for interesting mathematical facts about the number 142438920 from the Numbermatics database.
Names of 142438920
- Cardinal: 142438920 can be written as One hundred forty-two million, four hundred thirty-eight thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.4243892 × 108
Factors of 142438920
Divisors of 142438920
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 17 20 24 26 30 34 39 40 41 51 52 60 65 68 78 82 85 102 104 120 123 130 131 136 156 164 170 195 204 205 221 246 255 260 262 312 328 340 390 393 408 410 442 492 510 520 524 533 615 655 663 680 697 780 786 820 884 984 1020 1048 1066 1105 1230 1310 1326 1394 1560 1572 1599 1640 1703 1768 1965 2040 2091 2132 2210 2227 2460 2620 2652 2665 2788 3144 3198 3315 3406 3485 3930 4182 4264 4420 4454 4920 5109 5240 5304 5330 5371 5576 6396 6630 6681 6812 6970 7860 7995 8364 8515 8840 8908 9061 10218 10455 10660 10742 11135 12792 13260 13362 13624 13940 15720 15990 16113 16728 17030 17816 18122 20436 20910 21320 21484 22270 25545 26520 26724 26855 27183 27880 28951 31980 32226 33405 34060 36244 40872 41820 42968 44540 45305 51090 53448 53710 54366 57902 63960 64452 66810 68120 69823 72488 80565 83640 86853 89080 90610 91307 102180 107420 108732 115804 128904 133620 135915 139646 144755 161130 173706 181220 182614 204360 209469 214840 217464 231608 267240 271830 273921 279292 289510 322260 347412 349115 362440 365228 418938 434265 456535 543660 547842 558584 579020 644520 694824 698230 730456 837876 868530 913070 1047345 1087320 1095684 1158040 1186991 1369605 1396460 1675752 1737060 1826140 2094690 2191368 2373982 2739210 2792920 3474120 3560973 3652280 4189380 4747964 5478420 5934955 7121946 8378760 9495928 10956840 11869910 14243892 17804865 23739820 28487784 35609730 47479640 71219460 142438920
- Sum of all divisors σ(n): 502951680
- Sum of proper divisors (its aliquot sum) s(n): 360512760
- 142438920 is an abundant number, because the sum of its proper divisors (360512760) is greater than itself. Its abundance is 218073840
Bases of 142438920
- Binary: 10000111110101110010000010002
- Hexadecimal: 0x87D7208
- Base-36: 2CSYKO
Squares and roots of 142438920
- 142438920 squared (1424389202) is 20288845930766400
- 142438920 cubed (1424389203) is 2889921302424760788288000
-
The
square root of 142438920 is 11934.7777524343 -
The
cube root of 142438920 is 522.2473248501
Scales and comparisons
How big is 142438920?- 142,438,920 seconds is equal to 4 years, 27 weeks, 3 days, 14 hours, 22 minutes.
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To count from 1 to 142,438,920 would take you about six 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 142438920 cubic inches would be around 43.5 feet tall.
Recreational maths with 142438920
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