137072640
137,072,640 is an even composite number composed of five prime numbers multiplied together.
137072640 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eight divisors.
Prime factorization of 137072640:
212 × 3 × 5 × 23 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 23 × 97)See below for interesting mathematical facts about the number 137072640 from the Numbermatics database.
Names of 137072640
- Cardinal: 137072640 can be written as One hundred thirty-seven million, seventy-two thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.3707264 × 108
Factors of 137072640
Divisors of 137072640
- Number of divisors d(n): 208
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 97 115 120 128 138 160 184 192 194 230 240 256 276 291 320 345 368 384 388 460 480 485 512 552 582 640 690 736 768 776 920 960 970 1024 1104 1164 1280 1380 1455 1472 1536 1552 1840 1920 1940 2048 2208 2231 2328 2560 2760 2910 2944 3072 3104 3680 3840 3880 4096 4416 4462 4656 5120 5520 5820 5888 6144 6208 6693 7360 7680 7760 8832 8924 9312 10240 11040 11155 11640 11776 12288 12416 13386 14720 15360 15520 17664 17848 18624 20480 22080 22310 23280 23552 24832 26772 29440 30720 31040 33465 35328 35696 37248 44160 44620 46560 47104 49664 53544 58880 61440 62080 66930 70656 71392 74496 88320 89240 93120 94208 99328 107088 117760 124160 133860 141312 142784 148992 176640 178480 186240 198656 214176 235520 248320 267720 282624 285568 297984 353280 356960 372480 397312 428352 471040 496640 535440 571136 595968 706560 713920 744960 856704 993280 1070880 1142272 1191936 1413120 1427840 1489920 1713408 1986560 2141760 2284544 2855680 2979840 3426816 4283520 4569088 5711360 5959680 6853632 8567040 9138176 11422720 13707264 17134080 22845440 27414528 34268160 45690880 68536320 137072640
- Sum of all divisors σ(n): 462365568
- Sum of proper divisors (its aliquot sum) s(n): 325292928
- 137072640 is an abundant number, because the sum of its proper divisors (325292928) is greater than itself. Its abundance is 188220288
Bases of 137072640
- Binary: 10000010101110010000000000002
- Hexadecimal: 0x82B9000
- Base-36: 29LXXC
Squares and roots of 137072640
- 137072640 squared (1370726402) is 18788908636569600
- 137072640 cubed (1370726403) is 2575445309533395615744000
-
The
square root of 137072640 is 11707.8025265205 -
The
cube root of 137072640 is 515.6047691603
Scales and comparisons
How big is 137072640?- 137,072,640 seconds is equal to 4 years, 18 weeks, 4 days, 11 hours, 44 minutes.
-
To count from 1 to 137,072,640 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 137072640 cubic inches would be around 43 feet tall.
Recreational maths with 137072640
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