138893040
138,893,040 is an even composite number composed of seven prime numbers multiplied together.
138893040 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 138893040:
24 × 32 × 5 × 11 × 13 × 19 × 71
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 11 × 13 × 19 × 71)See below for interesting mathematical facts about the number 138893040 from the Numbermatics database.
Names of 138893040
- Cardinal: 138893040 can be written as One hundred thirty-eight million, eight hundred ninety-three thousand and forty.
Scientific notation
- Scientific notation: 1.3889304 × 108
Factors of 138893040
Divisors of 138893040
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 19 20 22 24 26 30 33 36 38 39 40 44 45 48 52 55 57 60 65 66 71 72 76 78 80 88 90 95 99 104 110 114 117 120 130 132 142 143 144 152 156 165 171 176 180 190 195 198 208 209 213 220 228 234 240 247 260 264 284 285 286 304 312 330 342 355 360 380 390 396 418 426 429 440 456 468 494 495 520 528 568 570 572 585 624 627 639 660 684 710 715 720 741 760 780 781 792 836 852 855 858 880 912 923 936 988 990 1040 1045 1065 1136 1140 1144 1170 1235 1254 1278 1287 1320 1349 1368 1420 1430 1482 1520 1560 1562 1584 1672 1704 1710 1716 1846 1872 1881 1976 1980 2090 2130 2145 2223 2280 2288 2340 2343 2470 2508 2556 2574 2640 2698 2717 2736 2769 2840 2860 2964 3120 3124 3135 3195 3344 3408 3420 3432 3692 3705 3762 3905 3952 3960 4047 4180 4260 4290 4446 4560 4615 4680 4686 4940 5016 5112 5148 5396 5434 5538 5680 5720 5928 6248 6270 6390 6435 6745 6840 6864 7029 7384 7410 7524 7810 7920 8094 8151 8307 8360 8520 8580 8892 9230 9360 9372 9405 9880 10032 10153 10224 10296 10792 10868 11076 11115 11440 11715 11856 12141 12496 12540 12780 12870 13490 13585 13680 13845 14058 14768 14820 14839 15048 15620 16188 16302 16614 16720 17040 17160 17537 17784 18460 18744 18810 19760 20235 20306 20592 21584 21736 22152 22230 23430 24282 24453 25080 25560 25740 26980 27170 27690 28116 29640 29678 30096 30459 31240 32376 32604 33228 34320 35074 35145 35568 36920 37488 37620 40470 40612 40755 41535 43472 44304 44460 44517 46860 48564 48906 50160 50765 51120 51480 52611 53960 54340 55380 56232 59280 59356 60705 60918 62480 64752 65208 66456 70148 70290 73840 74195 75240 80940 81224 81510 83070 87685 88920 89034 91377 93720 97128 97812 101530 102960 105222 107920 108680 110760 112464 118712 121410 121836 122265 130416 132912 133551 140296 140580 148390 150480 152295 157833 161880 162448 163020 166140 175370 177840 178068 182754 187440 192907 194256 195624 203060 210444 217360 221520 222585 237424 242820 243672 244530 263055 267102 280592 281160 296780 304590 315666 323760 326040 332280 350740 356136 365508 385814 391248 406120 420888 445170 456885 485640 487344 489060 526110 534204 562320 578721 593560 609180 631332 652080 664560 667755 701480 712272 731016 771628 789165 812240 841776 890340 913770 964535 971280 978120 1052220 1068408 1157442 1187120 1218360 1262664 1335510 1402960 1462032 1543256 1578330 1736163 1780680 1827540 1929070 1956240 2104440 2136816 2314884 2436720 2525328 2671020 2893605 3086512 3156660 3472326 3561360 3655080 3858140 4208880 4629768 5342040 5787210 6313320 6944652 7310160 7716280 8680815 9259536 10684080 11574420 12626640 13889304 15432560 17361630 23148840 27778608 34723260 46297680 69446520 138893040
- Sum of all divisors σ(n): 584962560
- Sum of proper divisors (its aliquot sum) s(n): 446069520
- 138893040 is an abundant number, because the sum of its proper divisors (446069520) is greater than itself. Its abundance is 307176480
Bases of 138893040
- Binary: 10000100011101010110111100002
- Hexadecimal: 0x84756F0
- Base-36: 2AOYK0
Squares and roots of 138893040
- 138893040 squared (1388930402) is 19291276560441600
- 138893040 cubed (1388930403) is 2679424046960477566464000
-
The
square root of 138893040 is 11785.2891351889 -
The
cube root of 138893040 is 517.8772436611
Scales and comparisons
How big is 138893040?- 138,893,040 seconds is equal to 4 years, 21 weeks, 4 days, 13 hours, 24 minutes.
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To count from 1 to 138,893,040 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 138893040 cubic inches would be around 43.2 feet tall.
Recreational maths with 138893040
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