137213440
137,213,440 is an even composite number composed of six prime numbers multiplied together.
137213440 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 137213440:
29 × 5 × 7 × 13 × 19 × 31
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 13 × 19 × 31)See below for interesting mathematical facts about the number 137213440 from the Numbermatics database.
Names of 137213440
- Cardinal: 137213440 can be written as One hundred thirty-seven million, two hundred thirteen thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.3721344 × 108
Factors of 137213440
Divisors of 137213440
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 19 20 26 28 31 32 35 38 40 52 56 62 64 65 70 76 80 91 95 104 112 124 128 130 133 140 152 155 160 182 190 208 217 224 247 248 256 260 266 280 304 310 320 364 380 403 416 434 448 455 494 496 512 520 532 560 589 608 620 640 665 728 760 806 832 868 896 910 988 992 1040 1064 1085 1120 1178 1216 1235 1240 1280 1330 1456 1520 1612 1664 1729 1736 1792 1820 1976 1984 2015 2080 2128 2170 2240 2356 2432 2470 2480 2560 2660 2821 2912 2945 3040 3224 3328 3458 3472 3584 3640 3952 3968 4030 4123 4160 4256 4340 4480 4712 4864 4940 4960 5320 5642 5824 5890 6080 6448 6656 6916 6944 7280 7657 7904 7936 8060 8246 8320 8512 8645 8680 8960 9424 9728 9880 9920 10640 11284 11648 11780 12160 12896 13832 13888 14105 14560 15314 15808 15872 16120 16492 16640 17024 17290 17360 17920 18848 19760 19840 20615 21280 22568 23296 23560 24320 25792 27664 27776 28210 29120 30628 31616 32240 32984 33280 34048 34580 34720 37696 38285 39520 39680 41230 42560 45136 46592 47120 48640 51584 53599 55328 55552 56420 58240 61256 63232 64480 65968 68096 69160 69440 75392 76570 79040 79360 82460 85120 90272 94240 103168 107198 110656 111104 112840 116480 122512 126464 128960 131936 138320 138880 150784 153140 158080 164920 170240 180544 188480 206336 214396 221312 225680 232960 245024 257920 263872 267995 276640 277760 301568 306280 316160 329840 340480 361088 376960 428792 442624 451360 490048 515840 527744 535990 553280 555520 612560 632320 659680 722176 753920 857584 885248 902720 980096 1031680 1055488 1071980 1106560 1225120 1319360 1444352 1507840 1715168 1805440 1960192 2110976 2143960 2213120 2450240 2638720 3430336 3610880 3920384 4287920 4426240 4900480 5277440 6860672 7221760 8575840 9800960 10554880 13721344 17151680 19601920 27442688 34303360 68606720 137213440
- Sum of all divisors σ(n): 439971840
- Sum of proper divisors (its aliquot sum) s(n): 302758400
- 137213440 is an abundant number, because the sum of its proper divisors (302758400) is greater than itself. Its abundance is 165544960
Bases of 137213440
- Binary: 10000010110110110110000000002
- Hexadecimal: 0x82DB600
- Base-36: 29OYKG
Squares and roots of 137213440
- 137213440 squared (1372134402) is 18827528116633600
- 137213440 cubed (1372134403) is 2583389899580017475584000
-
The
square root of 137213440 is 11713.8140671601 -
The
cube root of 137213440 is 515.7812505467
Scales and comparisons
How big is 137213440?- 137,213,440 seconds is equal to 4 years, 18 weeks, 6 days, 2 hours, 50 minutes, 40 seconds.
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To count from 1 to 137,213,440 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 137213440 cubic inches would be around 43 feet tall.
Recreational maths with 137213440
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