1007216398144
1,007,216,398,144 is an even composite number composed of six prime numbers multiplied together.
1007216398144 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 1007216398144:
26 × 112 × 19 × 29 × 137 × 1723
(2 × 2 × 2 × 2 × 2 × 2 × 11 × 11 × 19 × 29 × 137 × 1723)See below for interesting mathematical facts about the number 1007216398144 from the Numbermatics database.
Names of 1007216398144
- Cardinal: 1007216398144 can be written as One trillion, seven billion, two hundred sixteen million, three hundred ninety-eight thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.007216398144 × 1012
Factors of 1007216398144
Divisors of 1007216398144
- Number of divisors d(n): 336
-
Complete list of divisors:
1 2 4 8 11 16 19 22 29 32 38 44 58 64 76 88 116 121 137 152 176 209 232 242 274 304 319 352 418 464 484 548 551 608 638 704 836 928 968 1096 1102 1216 1276 1507 1672 1723 1856 1936 2192 2204 2299 2552 2603 3014 3344 3446 3509 3872 3973 4384 4408 4598 5104 5206 6028 6061 6688 6892 7018 7744 7946 8768 8816 9196 10208 10412 12056 12122 13376 13784 14036 15892 16577 17632 18392 18953 20416 20824 24112 24244 27568 28072 28633 31784 32737 33154 35264 36784 37906 41648 43703 48224 48488 49967 55136 56144 57266 63568 65474 66308 66671 73568 75487 75812 83296 87406 96448 96976 99934 110272 112288 114532 127136 130948 132616 133342 147136 150974 151624 166592 174812 193952 199868 208483 224576 229064 236051 254272 261896 265232 266684 301948 303248 314963 349624 360107 387904 399736 416966 458128 472102 480733 523792 530464 533368 549637 603896 606496 629926 699248 720214 799472 830357 833932 916256 944204 949373 961466 1047584 1060928 1066736 1099274 1207792 1212992 1259852 1398496 1440428 1598944 1660714 1667864 1832512 1888408 1898746 1922932 2095168 2133472 2198548 2415584 2519704 2596561 2796992 2880856 3197888 3321428 3335728 3776816 3797492 3845864 3961177 4266944 4397096 4484969 4831168 5039408 5193122 5761712 6046007 6642856 6671456 6845479 7553632 7594984 7691728 7922354 8794192 8969938 9133927 10078816 10386244 10443103 11523424 12092014 13285712 13342912 13690958 15107264 15189968 15383456 15844708 17588384 17939876 18267854 20157632 20772488 20886206 23046848 24184028 26571424 27381916 28562171 30379936 30766912 31689416 35176768 35879752 36535708 41544976 41772412 48368056 49334659 53142848 54763832 57124342 60759872 63378832 71759504 73071416 75300269 83089952 83544824 96736112 98669318 109527664 114248684 114874133 126757664 130064101 143519008 146142832 150600538 166179904 167089648 193472224 197338636 219055328 228497368 229748266 253515328 260128202 287038016 292285664 301201076 334179296 386944448 394677272 438110656 456994736 459496532 520256404 542681249 584571328 602402152 668358592 789354544 828302959 913989472 918993064 1040512808 1085362498 1204804304 1430705111 1578709088 1656605918 1827978944 1837986128 2081025616 2170724996 2409608608 2861410222 3157418176 3313211836 3675972256 4162051232 4341449992 4819217216 5722820444 6626423672 7351944512 8324102464 8682899984 11445640888 13252847344 15737756221 17365799968 22891281776 26505694688 31475512442 34731599936 45782563552 53011389376 62951024884 91565127104 125902049768 251804099536 503608199072 1007216398144
- Sum of all divisors σ(n): 2411142955200
- Sum of proper divisors (its aliquot sum) s(n): 1403926557056
- 1007216398144 is an abundant number, because the sum of its proper divisors (1403926557056) is greater than itself. Its abundance is 396710158912
Bases of 1007216398144
- Binary: 11101010100000101100011010001111010000002
- Hexadecimal: 0xEA82C68F40
- Base-36: CUPIMYPS
Squares and roots of 1007216398144
- 1007216398144 squared (10072163981442) is 1014484872690172726644736
- 1007216398144 cubed (10072163981443) is 1021805799442570165396334492217769984
-
The
square root of 1007216398144 is 1003601.7129040783 -
The
cube root of 1007216398144 is 10023.9970286783
Scales and comparisons
How big is 1007216398144?- 1,007,216,398,144 seconds is equal to 32,026 years, 19 weeks, 4 hours, 49 minutes, 4 seconds.
-
To count from 1 to 1,007,216,398,144 would take you about eighty thousand and sixty-five 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 1007216398144 cubic inches would be around 835.3 feet tall.
Recreational maths with 1007216398144
- 1007216398144 backwards is 4418936127001
- The number of decimal digits it has is: 13
- The sum of 1007216398144's digits is 46
- More coming soon!
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