137381683200
137,381,683,200 is an even composite number composed of five prime numbers multiplied together.
137381683200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 137381683200:
213 × 3 × 52 × 31 × 7213
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 31 × 7213)See below for interesting mathematical facts about the number 137381683200 from the Numbermatics database.
Names of 137381683200
- Cardinal: 137381683200 can be written as One hundred thirty-seven billion, three hundred eighty-one million, six hundred eighty-three thousand, two hundred.
Scientific notation
- Scientific notation: 1.373816832 × 1011
Factors of 137381683200
Divisors of 137381683200
- Number of divisors d(n): 336
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 32 40 48 50 60 62 64 75 80 93 96 100 120 124 128 150 155 160 186 192 200 240 248 256 300 310 320 372 384 400 465 480 496 512 600 620 640 744 768 775 800 930 960 992 1024 1200 1240 1280 1488 1536 1550 1600 1860 1920 1984 2048 2325 2400 2480 2560 2976 3072 3100 3200 3720 3840 3968 4096 4650 4800 4960 5120 5952 6144 6200 6400 7213 7440 7680 7936 8192 9300 9600 9920 10240 11904 12288 12400 12800 14426 14880 15360 15872 18600 19200 19840 20480 21639 23808 24576 24800 25600 28852 29760 30720 31744 36065 37200 38400 39680 40960 43278 47616 49600 51200 57704 59520 61440 63488 72130 74400 76800 79360 86556 95232 99200 102400 108195 115408 119040 122880 126976 144260 148800 153600 158720 173112 180325 190464 198400 204800 216390 223603 230816 238080 253952 288520 297600 307200 317440 346224 360650 380928 396800 432780 447206 461632 476160 540975 577040 595200 614400 634880 670809 692448 721300 761856 793600 865560 894412 923264 952320 1081950 1118015 1154080 1190400 1269760 1341618 1384896 1442600 1587200 1731120 1788824 1846528 1904640 2163900 2236030 2308160 2380800 2683236 2769792 2885200 3174400 3354045 3462240 3577648 3693056 3809280 4327800 4472060 4616320 4761600 5366472 5539584 5590075 5770400 6348800 6708090 6924480 7155296 7386112 8655600 8944120 9232640 9523200 10732944 11079168 11180150 11540800 13416180 13848960 14310592 14772224 16770225 17311200 17888240 18465280 19046400 21465888 22158336 22360300 23081600 26832360 27697920 28621184 29544448 33540450 34622400 35776480 36930560 42931776 44316672 44720600 46163200 53664720 55395840 57242368 59088896 67080900 69244800 71552960 73861120 85863552 88633344 89441200 92326400 107329440 110791680 114484736 134161800 138489600 143105920 147722240 171727104 177266688 178882400 184652800 214658880 221583360 228969472 268323600 276979200 286211840 295444480 343454208 357764800 369305600 429317760 443166720 457938944 536647200 553958400 572423680 686908416 715529600 738611200 858635520 886333440 915877888 1073294400 1107916800 1144847360 1373816832 1431059200 1477222400 1717271040 1831755776 2146588800 2215833600 2289694720 2747633664 2862118400 3434542080 4293177600 4431667200 4579389440 5495267328 5724236800 6869084160 8586355200 9158778880 11448473600 13738168320 17172710400 22896947200 27476336640 34345420800 45793894400 68690841600 137381683200
- Sum of all divisors σ(n): 468965865216
- Sum of proper divisors (its aliquot sum) s(n): 331584182016
- 137381683200 is an abundant number, because the sum of its proper divisors (331584182016) is greater than itself. Its abundance is 194202498816
Bases of 137381683200
- Binary: 11111111111001001011000100000000000002
- Hexadecimal: 0x1FFC962000
- Base-36: 1R41I96O
Squares and roots of 137381683200
- 137381683200 squared (1373816832002) is 18873726878865162240000
- 137381683200 cubed (1373816832003) is 2592904366875578494372282368000000
-
The
square root of 137381683200 is 370650.3516793151 -
The
cube root of 137381683200 is 5159.9197151143
Scales and comparisons
How big is 137381683200?- 137,381,683,200 seconds is equal to 4,368 years, 16 weeks, 1 day, 18 hours, 40 minutes.
-
To count from 1 to 137,381,683,200 would take you about eight thousand, seven hundred thirty-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 137381683200 cubic inches would be around 430 feet tall.
Recreational maths with 137381683200
- 137381683200 backwards is 002386183731
- The number of decimal digits it has is: 12
- The sum of 137381683200's digits is 42
- More coming soon!
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