138518380
138,518,380 is an even composite number composed of seven prime numbers multiplied together.
138518380 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 138518380:
22 × 5 × 7 × 112 × 13 × 17 × 37
(2 × 2 × 5 × 7 × 11 × 11 × 13 × 17 × 37)See below for interesting mathematical facts about the number 138518380 from the Numbermatics database.
Names of 138518380
- Cardinal: 138518380 can be written as One hundred thirty-eight million, five hundred eighteen thousand, three hundred eighty.
Scientific notation
- Scientific notation: 1.3851838 × 108
Factors of 138518380
Divisors of 138518380
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 4 5 7 10 11 13 14 17 20 22 26 28 34 35 37 44 52 55 65 68 70 74 77 85 91 110 119 121 130 140 143 148 154 170 182 185 187 220 221 238 242 259 260 286 308 340 364 370 374 385 407 442 455 476 481 484 518 572 595 605 629 715 740 748 770 814 847 884 910 935 962 1001 1036 1105 1190 1210 1258 1295 1309 1430 1540 1547 1573 1628 1694 1820 1870 1924 2002 2035 2057 2210 2380 2405 2420 2431 2516 2590 2618 2849 2860 3094 3145 3146 3367 3388 3740 4004 4070 4114 4235 4403 4420 4477 4810 4862 5005 5180 5236 5291 5698 6188 6290 6292 6545 6734 6919 7735 7865 8140 8177 8228 8470 8806 8954 9620 9724 10010 10285 10582 11011 11396 12155 12580 13090 13468 13838 14245 14399 15470 15730 16354 16835 16940 17017 17612 17908 20020 20570 21164 22015 22022 22385 24310 26180 26455 26741 27676 28490 28798 30940 31339 31460 32708 33670 34034 34595 37037 40885 41140 44030 44044 44770 48433 48620 52910 53482 55055 56980 57239 57596 58201 62678 67340 68068 69190 71995 74074 76109 81770 85085 88060 89540 89947 96866 105820 106964 110110 114478 116402 125356 133705 138380 143990 148148 152218 156695 163540 170170 179894 185185 187187 193732 220220 228956 232804 242165 267410 286195 287980 291005 304436 313390 340340 359788 370370 374374 380545 407407 449735 484330 532763 534820 572390 582010 626780 629629 740740 748748 761090 814814 899470 935935 968660 989417 1065526 1144780 1164020 1259258 1522180 1629628 1798940 1871870 1978834 2037035 2131052 2518516 2663815 3148145 3743740 3957668 4074070 4947085 5327630 6296290 6925919 8148140 9894170 10655260 12592580 13851838 19788340 27703676 34629595 69259190 138518380
- Sum of all divisors σ(n): 427932288
- Sum of proper divisors (its aliquot sum) s(n): 289413908
- 138518380 is an abundant number, because the sum of its proper divisors (289413908) is greater than itself. Its abundance is 150895528
Bases of 138518380
- Binary: 10000100000110011111011011002
- Hexadecimal: 0x8419F6C
- Base-36: 2AGXGS
Squares and roots of 138518380
- 138518380 squared (1385183802) is 19187341597824400
- 138518380 cubed (1385183803) is 2657799474637247412472000
-
The
square root of 138518380 is 11769.3831614065 -
The
cube root of 138518380 is 517.4111713233
Scales and comparisons
How big is 138518380?- 138,518,380 seconds is equal to 4 years, 21 weeks, 5 hours, 19 minutes, 40 seconds.
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To count from 1 to 138,518,380 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 138518380 cubic inches would be around 43.1 feet tall.
Recreational maths with 138518380
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