138256920
138,256,920 is an even composite number composed of seven prime numbers multiplied together.
138256920 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 138256920:
23 × 32 × 5 × 17 × 19 × 29 × 41
(2 × 2 × 2 × 3 × 3 × 5 × 17 × 19 × 29 × 41)See below for interesting mathematical facts about the number 138256920 from the Numbermatics database.
Names of 138256920
- Cardinal: 138256920 can be written as One hundred thirty-eight million, two hundred fifty-six thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.3825692 × 108
Factors of 138256920
Divisors of 138256920
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 17 18 19 20 24 29 30 34 36 38 40 41 45 51 57 58 60 68 72 76 82 85 87 90 95 102 114 116 120 123 136 145 152 153 164 170 171 174 180 190 204 205 228 232 246 255 261 285 290 306 323 328 340 342 348 360 369 380 408 410 435 456 492 493 510 522 551 570 580 612 615 646 680 684 696 697 738 760 765 779 820 855 870 969 984 986 1020 1044 1102 1140 1160 1189 1224 1230 1292 1305 1368 1394 1476 1479 1530 1558 1615 1640 1653 1710 1740 1845 1938 1972 2040 2088 2091 2204 2280 2337 2378 2460 2465 2584 2610 2755 2788 2907 2952 2958 3060 3116 3230 3306 3420 3480 3485 3567 3690 3876 3895 3944 4182 4408 4437 4674 4756 4845 4920 4930 4959 5220 5510 5576 5814 5916 5945 6120 6232 6273 6460 6612 6840 6970 7011 7134 7380 7395 7752 7790 8265 8364 8874 9348 9367 9512 9690 9860 9918 10440 10455 10701 11020 11628 11685 11832 11890 12546 12920 13224 13243 13940 14022 14268 14535 14760 14790 15580 16530 16728 17748 17835 18696 18734 19380 19720 19836 20213 20910 21402 22040 22185 22591 23256 23370 23780 24795 25092 26486 27880 28044 28101 28536 29070 29580 31160 31365 33060 35055 35496 35670 37468 38760 39672 39729 40426 41820 42804 44370 45182 46740 46835 47560 49590 50184 52972 53505 56088 56202 58140 59160 60639 62730 66120 66215 67773 70110 71340 74936 79458 80852 83640 84303 85608 88740 90364 93480 93670 99180 101065 105944 107010 112404 112955 116280 119187 121278 125460 132430 135546 140220 140505 142680 158916 161704 168606 177480 180728 181917 187340 198360 198645 202130 203319 214020 224808 225910 238374 242556 250920 264860 271092 280440 281010 303195 317832 337212 338865 363834 374680 384047 397290 404260 406638 421515 428040 451820 476748 485112 529720 542184 562020 595935 606390 674424 677730 727668 768094 794580 808520 813276 843030 903640 909585 953496 1016595 1124040 1152141 1191870 1212780 1355460 1455336 1536188 1589160 1626552 1686060 1819170 1920235 2033190 2304282 2383740 2425560 2710920 3072376 3372120 3456423 3638340 3840470 4066380 4608564 4767480 5760705 6912846 7276680 7680940 8132760 9217128 11521410 13825692 15361880 17282115 23042820 27651384 34564230 46085640 69128460 138256920
- Sum of all divisors σ(n): 530712000
- Sum of proper divisors (its aliquot sum) s(n): 392455080
- 138256920 is an abundant number, because the sum of its proper divisors (392455080) is greater than itself. Its abundance is 254198160
Bases of 138256920
- Binary: 10000011110110100010000110002
- Hexadecimal: 0x83DA218
- Base-36: 2ABBQ0
Squares and roots of 138256920
- 138256920 squared (1382569202) is 19114975927886400
- 138256920 cubed (1382569203) is 2642777697663715773888000
-
The
square root of 138256920 is 11758.2702809553 -
The
cube root of 138256920 is 517.0854202533
Scales and comparisons
How big is 138256920?- 138,256,920 seconds is equal to 4 years, 20 weeks, 4 days, 4 hours, 42 minutes.
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To count from 1 to 138,256,920 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 138256920 cubic inches would be around 43.1 feet tall.
Recreational maths with 138256920
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