138800640
138,800,640 is an even composite number composed of six prime numbers multiplied together.
138800640 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 138800640:
29 × 3 × 5 × 11 × 31 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 31 × 53)See below for interesting mathematical facts about the number 138800640 from the Numbermatics database.
Names of 138800640
- Cardinal: 138800640 can be written as One hundred thirty-eight million, eight hundred thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.3880064 × 108
Factors of 138800640
Divisors of 138800640
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 31 32 33 40 44 48 53 55 60 62 64 66 80 88 93 96 106 110 120 124 128 132 155 159 160 165 176 186 192 212 220 240 248 256 264 265 310 318 320 330 341 352 372 384 424 440 465 480 496 512 528 530 583 620 636 640 660 682 704 744 768 795 848 880 930 960 992 1023 1056 1060 1166 1240 1272 1280 1320 1364 1408 1488 1536 1590 1643 1696 1705 1749 1760 1860 1920 1984 2046 2112 2120 2332 2480 2544 2560 2640 2728 2816 2915 2976 3180 3286 3392 3410 3498 3520 3720 3840 3968 4092 4224 4240 4664 4929 4960 5088 5115 5280 5456 5632 5830 5952 6360 6572 6784 6820 6996 7040 7440 7680 7936 8184 8215 8448 8480 8745 9328 9858 9920 10176 10230 10560 10912 11660 11904 12720 13144 13568 13640 13992 14080 14880 15872 16368 16430 16896 16960 17490 18073 18656 19716 19840 20352 20460 21120 21824 23320 23808 24645 25440 26288 27136 27280 27984 28160 29760 32736 32860 33920 34980 36146 37312 39432 39680 40704 40920 42240 43648 46640 47616 49290 50880 52576 54219 54560 55968 59520 65472 65720 67840 69960 72292 74624 78864 79360 81408 81840 84480 87296 90365 93280 98580 101760 105152 108438 109120 111936 119040 130944 131440 135680 139920 144584 149248 157728 163680 174592 180730 186560 197160 203520 210304 216876 218240 223872 238080 261888 262880 271095 279840 289168 298496 315456 327360 361460 373120 394320 407040 420608 433752 436480 447744 523776 525760 542190 559680 578336 630912 654720 722920 746240 788640 841216 867504 872960 895488 1051520 1084380 1119360 1156672 1261824 1309440 1445840 1492480 1577280 1735008 2103040 2168760 2238720 2313344 2523648 2618880 2891680 3154560 3470016 4206080 4337520 4477440 4626688 5783360 6309120 6940032 8675040 9253376 11566720 12618240 13880064 17350080 23133440 27760128 34700160 46266880 69400320 138800640
- Sum of all divisors σ(n): 509110272
- Sum of proper divisors (its aliquot sum) s(n): 370309632
- 138800640 is an abundant number, because the sum of its proper divisors (370309632) is greater than itself. Its abundance is 231508992
Bases of 138800640
- Binary: 10000100010111101110000000002
- Hexadecimal: 0x845EE00
- Base-36: 2AMZ9C
Squares and roots of 138800640
- 138800640 squared (1388006402) is 19265617664409600
- 138800640 cubed (1388006403) is 2674080061815357702144000
-
The
square root of 138800640 is 11781.3683415807 -
The
cube root of 138800640 is 517.7623771603
Scales and comparisons
How big is 138800640?- 138,800,640 seconds is equal to 4 years, 21 weeks, 3 days, 11 hours, 44 minutes.
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To count from 1 to 138,800,640 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 138800640 cubic inches would be around 43.1 feet tall.
Recreational maths with 138800640
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