120468860928000
120,468,860,928,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 120468860928000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 5120 divisors.
120468860928000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five thousand, one hundred twenty divisors.
Prime factorization of 120468860928000:
215 × 34 × 53 × 13 × 17 × 31 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 17 × 31 × 53)See below for interesting mathematical facts about the number 120468860928000 from the Numbermatics database.
Names of 120468860928000
- Cardinal: 120468860928000 can be written as One hundred twenty trillion, four hundred sixty-eight billion, eight hundred sixty million, nine hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.20468860928 × 1014
Factors of 120468860928000
Divisors of 120468860928000
- Number of divisors d(n): 5120
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 24 25 26 27 30 31 32 34 36 39 40 45 48 50 51 52 53 54 60 62 64 65 68 72 75 78 80 81 85 90 93 96 100 102 104 106 108 117 120 124 125 128 130 135 136 144 150 153 155 156 159 160 162 170 180 186 192 195 200 204 208 212 216 221 225 234 240 248 250 255 256 260 265 270 272 279 288 300 306 310 312 318 320 324 325 340 351 360 372 375 384 390 400 403 405 408 416 424 425 432 442 450 459 465 468 477 480 496 500 510 512 520 527 530 540 544 558 576 585 600 612 620 624 636 640 648 650 663 675 680 689 702 720 744 750 765 768 775 780 795 800 806 810 816 832 837 848 850 864 884 900 901 918 930 936 954 960 975 992 1000 1020 1024 1040 1053 1054 1060 1080 1088 1105 1116 1125 1152 1170 1200 1209 1224 1240 1248 1272 1275 1280 1296 1300 1325 1326 1350 1360 1377 1378 1395 1404 1431 1440 1488 1500 1530 1536 1550 1560 1581 1590 1600 1612 1620 1625 1632 1643 1664 1674 1696 1700 1728 1755 1768 1800 1802 1836 1860 1872 1908 1920 1950 1984 1989 2000 2015 2025 2040 2048 2067 2080 2106 2108 2120 2125 2160 2176 2210 2232 2250 2295 2304 2325 2340 2385 2400 2418 2448 2480 2496 2511 2544 2550 2560 2592 2600 2635 2650 2652 2700 2703 2720 2754 2756 2790 2808 2862 2880 2925 2976 3000 3060 3072 3100 3120 3162 3180 3200 3224 3240 3250 3264 3286 3315 3328 3348 3375 3392 3400 3445 3456 3510 3536 3600 3604 3627 3672 3720 3744 3816 3825 3840 3875 3900 3968 3975 3978 4000 4030 4050 4080 4096 4134 4160 4185 4212 4216 4240 4250 4293 4320 4352 4420 4464 4500 4505 4590 4608 4650 4680 4743 4770 4800 4836 4875 4896 4929 4960 4992 5022 5088 5100 5120 5184 5200 5265 5270 5300 5304 5400 5406 5440 5508 5512 5525 5580 5616 5724 5760 5850 5952 5967 6000 6045 6120 6144 6200 6201 6240 6324 6360 6375 6400 6448 6480 6500 6528 6572 6625 6630 6656 6696 6750 6784 6800 6851 6885 6890 6912 6975 7020 7072 7155 7200 7208 7254 7344 7440 7488 7632 7650 7680 7750 7800 7905 7936 7950 7956 8000 8060 8100 8109 8160 8192 8215 8268 8320 8370 8424 8432 8480 8500 8586 8640 8704 8775 8840 8928 9000 9010 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1003907174400 1029648384000 1115452416000 1136498688000 1158354432000 1181067264000 1204688609280 1254883968000 1295364096000 1338542899200 1417280716800 1487269888000 1505860761600 1544472576000 1606251479040 1673178624000 1771600896000 1853367091200 1882325952000 1943046144000 2007814348800 2230904832000 2272997376000 2316708864000 2362134528000 2409377218560 2509767936000 2677085798400 3011721523200 3088945152000 3346357248000 3543201792000 3764651904000 3886092288000 4015628697600 4461809664000 4633417728000 4818754437120 5019535872000 6023443046400 6692714496000 7086403584000 7529303808000 8031257395200 9266835456000 10039071744000 12046886092800 13385428992000 15058607616000 20078143488000 24093772185600 30117215232000 40156286976000 60234430464000 120468860928000
- Sum of all divisors σ(n): 538675906728960
- Sum of proper divisors (its aliquot sum) s(n): 418207045800960
- 120468860928000 is an abundant number, because the sum of its proper divisors (418207045800960) is greater than itself. Its abundance is 297738184872960
Bases of 120468860928000
- Binary: 110110110010000110101111010100110000000000000002
- Hexadecimal: 0x6D90D7A98000
- Base-36: 16PAMPDS00
Squares and roots of 120468860928000
- 120468860928000 squared (1204688609280002) is 14512746453289805021184000000
- 120468860928000 cubed (1204688609280003) is 1748334034164694769177251389898752000000000
-
The
square root of 120468860928000 is 10975830.7625436719 -
The
cube root of 120468860928000 is 49388.3974740181
Scales and comparisons
How big is 120468860928000?- 120,468,860,928,000 seconds is equal to 3,830,537 years, 7 weeks, 3 days.
-
To count from 1 to 120,468,860,928,000 would take you about nine million, five hundred seventy-six thousand, three hundred forty-two 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 120468860928000 cubic inches would be around 4115.7 feet tall.
Recreational maths with 120468860928000
- 120468860928000 backwards is 000829068864021
- 120468860928000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 120468860928000's digits is 54
- More coming soon!
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"Number 120468860928000 - Facts about the integer". Numbermatics.com. 2024. Web. 21 May 2024.
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Numbermatics. (2024). Number 120468860928000 - Facts about the integer. Retrieved 21 May 2024, from https://numbermatics.com/n/120468860928000/
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The information we have on file for 120468860928000 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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