107319468672000
107,319,468,672,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 107319468672000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 4224 divisors.
107319468672000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four thousand, two hundred twenty-four divisors.
Prime factorization of 107319468672000:
210 × 35 × 53 × 13 × 19 × 61 × 229
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 19 × 61 × 229)See below for interesting mathematical facts about the number 107319468672000 from the Numbermatics database.
Names of 107319468672000
- Cardinal: 107319468672000 can be written as One hundred seven trillion, three hundred nineteen billion, four hundred sixty-eight million, six hundred seventy-two thousand.
Scientific notation
- Scientific notation: 1.07319468672 × 1014
Factors of 107319468672000
Divisors of 107319468672000
- Number of divisors d(n): 4224
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 19 20 24 25 26 27 30 32 36 38 39 40 45 48 50 52 54 57 60 61 64 65 72 75 76 78 80 81 90 95 96 100 104 108 114 117 120 122 125 128 130 135 144 150 152 156 160 162 171 180 183 190 192 195 200 208 216 225 228 229 234 240 243 244 247 250 256 260 270 285 288 300 304 305 312 320 324 325 342 351 360 366 375 380 384 390 400 405 416 432 450 456 458 468 475 480 486 488 494 500 512 513 520 540 549 570 576 585 600 608 610 624 640 648 650 675 684 687 702 720 732 741 750 760 768 780 793 800 810 832 855 864 900 912 915 916 936 950 960 972 975 976 988 1000 1024 1026 1040 1053 1080 1098 1125 1140 1145 1152 1159 1170 1200 1215 1216 1220 1235 1248 1280 1296 1300 1350 1368 1374 1404 1425 1440 1464 1482 1500 1520 1525 1536 1539 1560 1586 1600 1620 1625 1647 1664 1710 1728 1755 1800 1824 1830 1832 1872 1900 1920 1944 1950 1952 1976 2000 2025 2052 2061 2080 2106 2160 2196 2223 2250 2280 2290 2304 2318 2340 2375 2379 2400 2430 2432 2440 2470 2496 2560 2565 2592 2600 2700 2736 2745 2748 2808 2850 2880 2925 2928 2964 2977 3000 3040 3050 3072 3078 3120 3159 3172 3200 3240 3250 3294 3328 3375 3420 3435 3456 3477 3510 3600 3648 3660 3664 3705 3744 3800 3840 3888 3900 3904 3952 3965 4000 4050 4104 4122 4160 4212 4275 4320 4351 4392 4446 4500 4560 4575 4580 4608 4617 4636 4680 4750 4758 4800 4860 4864 4875 4880 4940 4941 4992 5120 5130 5184 5200 5265 5400 5472 5490 5496 5616 5700 5725 5760 5795 5850 5856 5928 5954 6000 6075 6080 6100 6156 6175 6183 6240 6318 6344 6400 6480 6500 6588 6656 6669 6750 6840 6870 6912 6954 7020 7125 7137 7200 7296 7320 7328 7410 7488 7600 7625 7680 7695 7776 7800 7808 7904 7930 8000 8100 8208 8235 8244 8320 8424 8550 8640 8702 8775 8784 8892 8931 9000 9120 9150 9160 9216 9234 9272 9360 9500 9516 9600 9720 9728 9750 9760 9880 9882 9984 10125 10260 10305 10368 10400 10431 10530 10800 10944 10980 10992 11115 11232 11400 11450 11520 11590 11700 11712 11856 11895 11908 12000 12150 12160 12200 12312 12350 12366 12480 12636 12688 12800 12825 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- Sum of all divisors σ(n): 464110486694400
- Sum of proper divisors (its aliquot sum) s(n): 356791018022400
- 107319468672000 is an abundant number, because the sum of its proper divisors (356791018022400) is greater than itself. Its abundance is 249471549350400
Bases of 107319468672000
- Binary: 110000110011011010000101100111011000100000000002
- Hexadecimal: 0x619B42CEC400
- Base-36: 121HVSQO00
Squares and roots of 107319468672000
- 107319468672000 squared (1073194686720002) is 11517468356040389443584000000
- 107319468672000 cubed (1073194686720003) is 1236048584416827916857392599400448000000000
-
The
square root of 107319468672000 is 10359511.0247540159 -
The
cube root of 107319468672000 is 47521.7951571607
Scales and comparisons
How big is 107319468672000?- 107,319,468,672,000 seconds is equal to 3,412,427 years, 7 weeks, 3 days.
-
To count from 1 to 107,319,468,672,000 would take you about eight million, five hundred thirty-one thousand and sixty-seven 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 107319468672000 cubic inches would be around 3960.1 feet tall.
Recreational maths with 107319468672000
- 107319468672000 backwards is 000276864913701
- 107319468672000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 107319468672000's digits is 54
- More coming soon!
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"Number 107319468672000 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
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Numbermatics. (2024). Number 107319468672000 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/107319468672000/
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The information we have on file for 107319468672000 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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