107038345128960
107,038,345,128,960 is an even composite number composed of eight prime numbers multiplied together.
What does the number 107038345128960 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 3168 divisors.
107038345128960 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand, one hundred sixty-eight divisors.
Prime factorization of 107038345128960:
210 × 3 × 5 × 72 × 172 × 29 × 71 × 239
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 17 × 17 × 29 × 71 × 239)See below for interesting mathematical facts about the number 107038345128960 from the Numbermatics database.
Names of 107038345128960
- Cardinal: 107038345128960 can be written as One hundred seven trillion, thirty-eight billion, three hundred forty-five million, one hundred twenty-eight thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.0703834512896 × 1014
Factors of 107038345128960
Divisors of 107038345128960
- Number of divisors d(n): 3168
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 28 29 30 32 34 35 40 42 48 49 51 56 58 60 64 68 70 71 80 84 85 87 96 98 102 105 112 116 119 120 128 136 140 142 145 147 160 168 170 174 192 196 203 204 210 213 224 232 238 239 240 245 255 256 272 280 284 289 290 294 320 336 340 348 355 357 384 392 406 408 420 426 435 448 464 476 478 480 490 493 497 510 512 544 560 568 578 580 588 595 609 640 672 680 696 710 714 717 735 768 784 812 816 833 840 852 867 870 896 928 952 956 960 980 986 994 1015 1020 1024 1065 1088 1120 1136 1156 1160 1176 1190 1195 1207 1218 1280 1344 1360 1392 1420 1421 1428 1434 1445 1470 1479 1491 1536 1568 1624 1632 1666 1673 1680 1704 1734 1740 1785 1792 1856 1904 1912 1920 1960 1972 1988 2023 2030 2040 2059 2130 2176 2240 2272 2312 2320 2352 2380 2390 2414 2436 2465 2485 2499 2560 2688 2720 2784 2840 2842 2856 2868 2890 2940 2958 2982 3045 3072 3136 3248 3264 3332 3346 3360 3408 3451 3468 3479 3480 3570 3584 3585 3621 3712 3808 3824 3840 3920 3944 3976 4046 4060 4063 4080 4118 4165 4260 4263 4335 4352 4480 4544 4624 4640 4704 4760 4780 4828 4872 4930 4970 4998 5019 5120 5376 5440 5568 5680 5684 5712 5736 5780 5880 5916 5964 6035 6069 6090 6177 6272 6496 6528 6664 6692 6720 6816 6902 6931 6936 6958 6960 7105 7140 7168 7170 7242 7395 7424 7455 7616 7648 7680 7840 7888 7952 8092 8120 8126 8160 8236 8330 8365 8381 8449 8520 8526 8670 8704 8960 9088 9248 9280 9408 9520 9560 9656 9744 9860 9940 9996 10038 10115 10295 10353 10437 10752 10880 11136 11360 11368 11424 11472 11560 11711 11760 11832 11928 12070 12138 12180 12189 12354 12495 12544 12992 13056 13328 13384 13440 13632 13804 13862 13872 13916 13920 14161 14210 14280 14340 14413 14484 14790 14848 14910 15232 15296 15360 15680 15776 15904 16184 16240 16252 16320 16472 16660 16730 16762 16898 16969 17040 17052 17255 17340 17395 17408 17920 18105 18176 18496 18560 18816 19040 19120 19312 19488 19720 19880 19992 20076 20230 20315 20519 20590 20706 20793 20874 21315 21504 21760 22272 22720 22736 22848 22944 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107038345128960
- Sum of all divisors σ(n): 445663748044800
- Sum of proper divisors (its aliquot sum) s(n): 338625402915840
- 107038345128960 is an abundant number, because the sum of its proper divisors (338625402915840) is greater than itself. Its abundance is 231587057786880
Bases of 107038345128960
- Binary: 110000101011001110011101000100111101100000000002
- Hexadecimal: 0x6159CE89EC00
- Base-36: 11XWQJ1HXC
Squares and roots of 107038345128960
- 107038345128960 squared (1070383451289602) is 11457207327946354959030681600
- 107038345128960 cubed (1070383451289603) is 1226360512182771540609148898202548699136000
-
The
square root of 107038345128960 is 10345933.7485294193 -
The
cube root of 107038345128960 is 47480.2643964905
Scales and comparisons
How big is 107038345128960?- 107,038,345,128,960 seconds is equal to 3,403,488 years, 14 weeks, 5 days, 6 hours, 56 minutes.
-
To count from 1 to 107,038,345,128,960 would take you about eight million, five hundred eight thousand, seven hundred twenty 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 107038345128960 cubic inches would be around 3956.7 feet tall.
Recreational maths with 107038345128960
- 107038345128960 backwards is 069821543830701
- The number of decimal digits it has is: 15
- The sum of 107038345128960's digits is 57
- More coming soon!
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"Number 107038345128960 - Facts about the integer". Numbermatics.com. 2024. Web. 5 May 2024.
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Numbermatics. (2024). Number 107038345128960 - Facts about the integer. Retrieved 5 May 2024, from https://numbermatics.com/n/107038345128960/
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The information we have on file for 107038345128960 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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