1006505046144
1,006,505,046,144 is an even composite number composed of five prime numbers multiplied together.
1006505046144 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 1006505046144:
27 × 34 × 13 × 53 × 140897
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 13 × 53 × 140897)See below for interesting mathematical facts about the number 1006505046144 from the Numbermatics database.
Names of 1006505046144
- Cardinal: 1006505046144 can be written as One trillion, six billion, five hundred five million, forty-six thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.006505046144 × 1012
Factors of 1006505046144
Divisors of 1006505046144
- Number of divisors d(n): 320
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 53 54 64 72 78 81 96 104 106 108 117 128 144 156 159 162 192 208 212 216 234 288 312 318 324 351 384 416 424 432 468 477 576 624 636 648 689 702 832 848 864 936 954 1053 1152 1248 1272 1296 1378 1404 1431 1664 1696 1728 1872 1908 2067 2106 2496 2544 2592 2756 2808 2862 3392 3456 3744 3816 4134 4212 4293 4992 5088 5184 5512 5616 5724 6201 6784 7488 7632 8268 8424 8586 10176 10368 11024 11232 11448 12402 14976 15264 16536 16848 17172 18603 20352 22048 22464 22896 24804 30528 33072 33696 34344 37206 44096 44928 45792 49608 55809 61056 66144 67392 68688 74412 88192 91584 99216 111618 132288 134784 137376 140897 148824 183168 198432 223236 264576 274752 281794 297648 396864 422691 446472 549504 563588 595296 793728 845382 892944 1127176 1190592 1268073 1690764 1785888 1831661 2254352 2381184 2536146 3381528 3571776 3663322 3804219 4508704 5072292 5494983 6763056 7143552 7326644 7467541 7608438 9017408 10144584 10989966 11412657 13526112 14653288 14935082 15216876 16484949 18034816 20289168 21979932 22402623 22825314 27052224 29306576 29870164 30433752 32969898 40578336 43959864 44805246 45650628 49454847 54104448 58613152 59740328 60867504 65939796 67207869 81156672 87919728 89610492 91301256 97078033 98909694 117226304 119480656 121735008 131879592 134415738 148364541 162313344 175839456 179220984 182602512 194156066 197819388 201623607 234452608 238961312 243470016 263759184 268831476 291234099 296729082 351678912 358441968 365205024 388312132 395638776 403247214 477922624 486940032 527518368 537662952 582468198 593458164 604870821 703357824 716883936 730410048 776624264 791277552 806494428 873702297 955845248 1055036736 1075325904 1164936396 1186916328 1209741642 1433767872 1460820096 1553248528 1582555104 1612988856 1747404594 2110073472 2150651808 2329872792 2373832656 2419483284 2621106891 2867535744 3106497056 3165110208 3225977712 3494809188 4301303616 4659745584 4747665312 4838966568 5242213782 6212994112 6330220416 6451955424 6989618376 7863320673 8602607232 9319491168 9495330624 9677933136 10484427564 12425988224 12903910848 13979236752 15726641346 18638982336 18990661248 19355866272 20968855128 25807821696 27958473504 31453282692 37277964672 38711732544 41937710256 55916947008 62906565384 77423465088 83875420512 111833894016 125813130768 167750841024 251626261536 335501682048 503252523072 1006505046144
- Sum of all divisors σ(n): 3286640289240
- Sum of proper divisors (its aliquot sum) s(n): 2280135243096
- 1006505046144 is an abundant number, because the sum of its proper divisors (2280135243096) is greater than itself. Its abundance is 1273630196952
Bases of 1006505046144
- Binary: 11101010010110000110000000110000100000002
- Hexadecimal: 0xEA58603080
- Base-36: CUDR4800
Squares and roots of 1006505046144
- 1006505046144 squared (10065050461442) is 1013052407913335569268736
- 1006505046144 cubed (10065050461443) is 1019642360573102127899785636016553984
-
The
square root of 1006505046144 is 1003247.2507532727 -
The
cube root of 1006505046144 is 10021.6366389685
Scales and comparisons
How big is 1006505046144?- 1,006,505,046,144 seconds is equal to 32,003 years, 38 weeks, 5 days, 23 hours, 2 minutes, 24 seconds.
-
To count from 1 to 1,006,505,046,144 would take you about eighty thousand and nine 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 1006505046144 cubic inches would be around 835.1 feet tall.
Recreational maths with 1006505046144
- 1006505046144 backwards is 4416405056001
- 1006505046144 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 1006505046144's digits is 36
- More coming soon!
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