137134080
137,134,080 is an even composite number composed of four prime numbers multiplied together.
137134080 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 137134080:
215 × 33 × 5 × 31
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 31)See below for interesting mathematical facts about the number 137134080 from the Numbermatics database.
Names of 137134080
- Cardinal: 137134080 can be written as One hundred thirty-seven million, one hundred thirty-four thousand and eighty.
Scientific notation
- Scientific notation: 1.3713408 × 108
Factors of 137134080
Divisors of 137134080
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 31 32 36 40 45 48 54 60 62 64 72 80 90 93 96 108 120 124 128 135 144 155 160 180 186 192 216 240 248 256 270 279 288 310 320 360 372 384 432 465 480 496 512 540 558 576 620 640 720 744 768 837 864 930 960 992 1024 1080 1116 1152 1240 1280 1395 1440 1488 1536 1674 1728 1860 1920 1984 2048 2160 2232 2304 2480 2560 2790 2880 2976 3072 3348 3456 3720 3840 3968 4096 4185 4320 4464 4608 4960 5120 5580 5760 5952 6144 6696 6912 7440 7680 7936 8192 8370 8640 8928 9216 9920 10240 11160 11520 11904 12288 13392 13824 14880 15360 15872 16384 16740 17280 17856 18432 19840 20480 22320 23040 23808 24576 26784 27648 29760 30720 31744 32768 33480 34560 35712 36864 39680 40960 44640 46080 47616 49152 53568 55296 59520 61440 63488 66960 69120 71424 73728 79360 81920 89280 92160 95232 98304 107136 110592 119040 122880 126976 133920 138240 142848 147456 158720 163840 178560 184320 190464 214272 221184 238080 245760 253952 267840 276480 285696 294912 317440 357120 368640 380928 428544 442368 476160 491520 507904 535680 552960 571392 634880 714240 737280 761856 857088 884736 952320 1015808 1071360 1105920 1142784 1269760 1428480 1474560 1523712 1714176 1904640 2142720 2211840 2285568 2539520 2856960 3047424 3428352 3809280 4285440 4423680 4571136 5079040 5713920 6856704 7618560 8570880 9142272 11427840 13713408 15237120 17141760 22855680 27426816 34283520 45711360 68567040 137134080
- Sum of all divisors σ(n): 503308800
- Sum of proper divisors (its aliquot sum) s(n): 366174720
- 137134080 is an abundant number, because the sum of its proper divisors (366174720) is greater than itself. Its abundance is 229040640
Bases of 137134080
- Binary: 10000010110010000000000000002
- Hexadecimal: 0x82C8000
- Base-36: 29N9C0
Squares and roots of 137134080
- 137134080 squared (1371340802) is 18805755897446400
- 137134080 cubed (1371340803) is 2578910033700886413312000
-
The
square root of 137134080 is 11710.4261237583 -
The
cube root of 137134080 is 515.6817940747
Scales and comparisons
How big is 137134080?- 137,134,080 seconds is equal to 4 years, 18 weeks, 5 days, 4 hours, 48 minutes.
-
To count from 1 to 137,134,080 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 137134080 cubic inches would be around 43 feet tall.
Recreational maths with 137134080
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