137079072
137,079,072 is an even composite number composed of six prime numbers multiplied together.
137079072 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 137079072:
25 × 32 × 13 × 19 × 41 × 47
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 19 × 41 × 47)See below for interesting mathematical facts about the number 137079072 from the Numbermatics database.
Names of 137079072
- Cardinal: 137079072 can be written as One hundred thirty-seven million, seventy-nine thousand and seventy-two.
Scientific notation
- Scientific notation: 1.37079072 × 108
Factors of 137079072
Divisors of 137079072
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 19 24 26 32 36 38 39 41 47 48 52 57 72 76 78 82 94 96 104 114 117 123 141 144 152 156 164 171 188 208 228 234 246 247 282 288 304 312 328 342 369 376 416 423 456 468 492 494 533 564 608 611 624 656 684 738 741 752 779 846 893 912 936 984 988 1066 1128 1222 1248 1312 1368 1476 1482 1504 1558 1599 1692 1786 1824 1833 1872 1927 1968 1976 2132 2223 2256 2337 2444 2679 2736 2952 2964 3116 3198 3384 3572 3666 3744 3854 3936 3952 4264 4446 4512 4674 4797 4888 5358 5472 5499 5781 5904 5928 6232 6396 6768 7011 7144 7332 7708 7904 8037 8528 8892 9348 9594 9776 10127 10716 10998 11562 11609 11808 11856 12464 12792 13536 14022 14288 14664 15416 16074 17056 17343 17784 18696 19188 19552 20254 21432 21996 23124 23218 23712 24928 25051 25584 28044 28576 29328 30381 30832 32148 34686 34827 35568 36613 37392 38376 40508 42864 43992 46248 46436 50102 51168 56088 58656 60762 61664 64296 69372 69654 71136 73226 74784 75153 76752 81016 85728 87984 91143 92496 92872 100204 104481 109839 112176 121524 128592 138744 139308 146452 150306 153504 162032 175968 182286 184992 185744 200408 208962 219678 224352 225459 243048 257184 277488 278616 292904 300612 324064 329517 364572 371488 400816 417924 439356 450918 475969 486096 554976 557232 585808 601224 659034 729144 801632 835848 878712 901836 951938 972192 1114464 1171616 1202448 1318068 1427907 1458288 1671696 1757424 1803672 1903876 2404896 2636136 2855814 2916576 3343392 3514848 3607344 3807752 4283721 5272272 5711628 7214688 7615504 8567442 10544544 11423256 15231008 17134884 22846512 34269768 45693024 68539536 137079072
- Sum of all divisors σ(n): 462309120
- Sum of proper divisors (its aliquot sum) s(n): 325230048
- 137079072 is an abundant number, because the sum of its proper divisors (325230048) is greater than itself. Its abundance is 188150976
Bases of 137079072
- Binary: 10000010101110101001001000002
- Hexadecimal: 0x82BA920
- Base-36: 29M2W0
Squares and roots of 137079072
- 137079072 squared (1370790722) is 18790671980381184
- 137079072 cubed (1370790723) is 2575807877327054908981248
-
The
square root of 137079072 is 11708.0772119081 -
The
cube root of 137079072 is 515.6128337845
Scales and comparisons
How big is 137079072?- 137,079,072 seconds is equal to 4 years, 18 weeks, 4 days, 13 hours, 31 minutes, 12 seconds.
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To count from 1 to 137,079,072 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 137079072 cubic inches would be around 43 feet tall.
Recreational maths with 137079072
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