1006972888064
1,006,972,888,064 is an even composite number composed of five prime numbers multiplied together.
1006972888064 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred ninety-six divisors.
Prime factorization of 1006972888064:
210 × 112 × 132 × 19 × 2531
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 11 × 11 × 13 × 13 × 19 × 2531)See below for interesting mathematical facts about the number 1006972888064 from the Numbermatics database.
Names of 1006972888064
- Cardinal: 1006972888064 can be written as One trillion, six billion, nine hundred seventy-two million, eight hundred eighty-eight thousand and sixty-four.
Scientific notation
- Scientific notation: 1.006972888064 × 1012
Factors of 1006972888064
Divisors of 1006972888064
- Number of divisors d(n): 396
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Complete list of divisors:
1 2 4 8 11 13 16 19 22 26 32 38 44 52 64 76 88 104 121 128 143 152 169 176 208 209 242 247 256 286 304 338 352 416 418 484 494 512 572 608 676 704 832 836 968 988 1024 1144 1216 1352 1408 1573 1664 1672 1859 1936 1976 2288 2299 2432 2531 2704 2717 2816 3146 3211 3328 3344 3718 3872 3952 4576 4598 4864 5062 5408 5434 5632 6292 6422 6656 6688 7436 7744 7904 9152 9196 9728 10124 10816 10868 11264 12584 12844 13312 13376 14872 15488 15808 18304 18392 19456 20248 20449 21632 21736 25168 25688 26752 27841 29744 29887 30976 31616 32903 35321 36608 36784 40496 40898 43264 43472 48089 50336 51376 53504 55682 59488 59774 61952 63232 65806 70642 73216 73568 80992 81796 86528 86944 96178 100672 102752 107008 111364 118976 119548 123904 126464 131612 141284 146432 147136 161984 163592 173056 173888 192356 201344 205504 214016 222728 237952 239096 252928 263224 282568 294272 306251 323968 327184 347776 361933 384712 388531 402688 411008 427739 445456 475904 478192 526448 528979 565136 588544 612502 625157 647936 654368 695552 723866 769424 777062 805376 822016 855478 890912 951808 956384 1052896 1057958 1130272 1177088 1225004 1250314 1295872 1308736 1391104 1447732 1538848 1554124 1610752 1644032 1710956 1781824 1903616 1912768 2105792 2115916 2260544 2354176 2450008 2500628 2591744 2617472 2782208 2895464 3077696 3108248 3288064 3421912 3563648 3825536 3981263 4211584 4231832 4521088 4705129 4900016 5001256 5234944 5790928 5818769 6155392 6216496 6843824 6876727 7127296 7651072 7962526 8127041 8423168 8463664 9042176 9410258 9800032 10002512 10469888 11581856 11637538 12310784 12432992 13687648 13753454 14254592 15302144 15925052 16254082 16846336 16927328 18084352 18820516 19600064 20005024 20939776 23163712 23275076 24621568 24865984 27375296 27506908 28509184 30604288 31850104 32508164 33692672 33854656 36168704 37641032 39200128 40010048 46327424 46550152 49243136 49731968 51756419 54750592 55013816 63700208 65016328 67709312 75282064 75643997 78400256 80020096 89397451 92654848 93100304 99463936 103512838 109501184 110027632 127400416 130032656 135418624 150564128 151287994 156800512 160040192 178794902 185309696 186200608 198927872 207025676 219002368 220055264 254800832 260065312 270837248 301128256 302575988 313601024 320080384 357589804 370619392 372401216 397855744 414051352 438004736 440110528 509601664 520130624 541674496 602256512 605151976 640160768 715179608 744802432 828102704 880221056 983371961 1019203328 1040261248 1204513024 1210303952 1430359216 1489604864 1656205408 1760442112 1966743922 2038406656 2080522496 2409026048 2420607904 2860718432 2979209728 3312410816 3520884224 3933487844 4076813312 4161044992 4818052096 4841215808 5721436864 5958419456 6624821632 7041768448 7866975688 8322089984 9682431616 11442873728 13249643264 15733951376 19364863232 22885747456 26499286528 31467902752 38729726464 45771494912 52998573056 62935805504 77459452928 91542989824 125871611008 251743222016 503486444032 1006972888064
- Sum of all divisors σ(n): 2522982687120
- Sum of proper divisors (its aliquot sum) s(n): 1516009799056
- 1006972888064 is an abundant number, because the sum of its proper divisors (1516009799056) is greater than itself. Its abundance is 509036910992
Bases of 1006972888064
- Binary: 11101010011101000100001011100100000000002
- Hexadecimal: 0xEA7442E400
- Base-36: CULHNP4W
Squares and roots of 1006972888064
- 1006972888064 squared (10069728880642) is 1013994397295953073668096
- 1006972888064 cubed (10069728880643) is 1021064866725820898730980379296006144
-
The
square root of 1006972888064 is 1003480.3874834825 -
The
cube root of 1006972888064 is 10023.1891450033
Scales and comparisons
How big is 1006972888064?- 1,006,972,888,064 seconds is equal to 32,018 years, 32 weeks, 2 days, 19 hours, 7 minutes, 44 seconds.
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To count from 1 to 1,006,972,888,064 would take you about eighty thousand and forty-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 1006972888064 cubic inches would be around 835.3 feet tall.
Recreational maths with 1006972888064
- 1006972888064 backwards is 4608882796001
- The number of decimal digits it has is: 13
- The sum of 1006972888064's digits is 59
- More coming soon!
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