1006441868432
1,006,441,868,432 is an even composite number composed of five prime numbers multiplied together.
What does the number 1006441868432 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 480 divisors.
1006441868432 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 1006441868432:
24 × 72 × 113 × 133 × 439
(2 × 2 × 2 × 2 × 7 × 7 × 11 × 11 × 11 × 13 × 13 × 13 × 439)See below for interesting mathematical facts about the number 1006441868432 from the Numbermatics database.
Names of 1006441868432
- Cardinal: 1006441868432 can be written as One trillion, six billion, four hundred forty-one million, eight hundred sixty-eight thousand, four hundred thirty-two.
Scientific notation
- Scientific notation: 1.006441868432 × 1012
Factors of 1006441868432
Divisors of 1006441868432
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 4 7 8 11 13 14 16 22 26 28 44 49 52 56 77 88 91 98 104 112 121 143 154 169 176 182 196 208 242 286 308 338 364 392 439 484 539 572 616 637 676 728 784 847 878 968 1001 1078 1144 1183 1232 1274 1331 1352 1456 1573 1694 1756 1859 1936 2002 2156 2197 2288 2366 2548 2662 2704 3073 3146 3388 3512 3718 4004 4312 4394 4732 4829 5096 5324 5707 5929 6146 6292 6776 7007 7024 7436 8008 8281 8624 8788 9317 9464 9658 10192 10648 11011 11414 11858 12292 12584 13013 13552 14014 14872 15379 16016 16562 17303 17576 18634 18928 19316 20449 21296 21511 22022 22828 23716 24167 24584 25168 26026 28028 29744 30758 33124 33803 34606 35152 37268 38632 39949 40898 43022 44044 45656 47432 48334 49168 52052 53119 56056 61516 62777 65219 66248 67606 69212 74191 74536 77077 77264 79898 81796 86044 88088 91091 91312 94864 96668 104104 106238 107653 112112 121121 123032 125554 130438 132496 135212 138424 143143 148382 149072 154154 159796 163592 169169 172088 176176 182182 193336 208208 212476 215306 224939 236621 242242 246064 251108 260876 265837 270424 276848 279643 286286 296764 308308 319592 327184 338338 344176 364364 371833 386672 424952 430612 439439 449878 473242 484484 502216 519337 521752 531674 540848 559286 572572 584309 593528 616616 639184 676676 690547 728728 743666 816101 847847 849904 861224 878878 899756 946484 964483 968968 1002001 1004432 1038674 1043504 1063348 1118572 1145144 1168618 1184183 1187056 1233232 1353352 1381094 1457456 1487332 1574573 1632202 1695694 1722448 1757756 1799512 1860859 1892968 1928966 1937936 2004002 2077348 2126696 2237144 2290288 2337236 2368366 2602831 2706704 2762188 2924207 2974664 3076073 3149146 3264404 3391388 3515512 3599024 3635359 3721718 3785936 3857932 4008004 4090163 4154696 4253392 4474288 4674472 4736732 4833829 5205662 5524376 5712707 5848414 5949328 6152146 6298292 6528808 6751381 6782776 7031024 7270718 7443436 7596017 7715864 8016008 8180326 8309392 8977111 9348944 9473464 9667658 10411324 10609313 11022011 11048752 11425414 11696828 12304292 12596584 13026013 13057616 13502762 13565552 14541436 14886872 15192034 15431728 16032016 16360652 17954222 18946928 19335316 20469449 20822648 21218626 22044022 22850828 23393656 24608584 25193168 26052026 27005524 28631141 29082872 29773744 30384068 32721304 33836803 35908444 38670632 39988949 40938898 41645296 42437252 44088044 45701656 46787312 47259667 49217168 52104052 53172119 54011048 57262282 58165744 60768136 62839777 65442608 67673606 71816888 74265191 77341264 79977898 81877796 84874504 88176088 91403312 94519334 98748221 104208104 106344238 108022096 114524564 116702443 121536272 125679554 135347212 143286143 143633776 148530382 159955796 163755592 169749008 176352176 189038668 197496442 208416208 212688476 229049128 233404886 251359108 270694424 286572286 297060764 319911592 327511184 372204833 378077336 394992884 425376952 439878439 458098256 466809772 502718216 519856337 541388848 573144572 594121528 639823184 691237547 744409666 756154672 789985768 816917101 850753904 879756878 933619544 1005436432 1039712674 1146289144 1188243056 1283726873 1382475094 1488819332 1579971536 1633834202 1759513756 1867239088 2079425348 2292578288 2567453746 2764950188 2977638664 3267668404 3519027512 4158850696 4838662829 5134907492 5529900376 5718419707 5955277328 6535336808 7038055024 8317701392 8986088111 9677325658 10269814984 11059800752 11436839414 13070673616 17972176222 19354651316 20539629968 22873678828 35944352444 38709302632 45747357656 62902616777 71888704888 77418605264 91494715312 125805233554 143777409776 251610467108 503220934216 1006441868432
- Sum of all divisors σ(n): 2708989113600
- Sum of proper divisors (its aliquot sum) s(n): 1702547245168
- 1006441868432 is an abundant number, because the sum of its proper divisors (1702547245168) is greater than itself. Its abundance is 696105376736
Bases of 1006441868432
- Binary: 11101010010101001001110000101100100100002
- Hexadecimal: 0xEA549C2C90
- Base-36: CUCPI3RK
Squares and roots of 1006441868432
- 1006441868432 squared (10064418684322) is 1012925234532895198138624
- 1006441868432 cubed (10064418684323) is 1019450365625208851981077587105517568
-
The
square root of 1006441868432 is 1003215.7636480799 -
The
cube root of 1006441868432 is 10021.4269505611
Scales and comparisons
How big is 1006441868432?- 1,006,441,868,432 seconds is equal to 32,001 years, 38 weeks, 2 days, 17 hours, 40 minutes, 32 seconds.
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To count from 1 to 1,006,441,868,432 would take you about eighty thousand and four 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 1006441868432 cubic inches would be around 835.1 feet tall.
Recreational maths with 1006441868432
- 1006441868432 backwards is 2348681446001
- The number of decimal digits it has is: 13
- The sum of 1006441868432's digits is 47
- More coming soon!
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