1148120064
1,148,120,064 is an even composite number composed of five prime numbers multiplied together.
1148120064 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 1148120064:
210 × 32 × 7 × 13 × 372
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 13 × 37 × 37)See below for interesting mathematical facts about the number 1148120064 from the Numbermatics database.
Names of 1148120064
- Cardinal: 1148120064 can be written as One billion, one hundred forty-eight million, one hundred twenty thousand and sixty-four.
Scientific notation
- Scientific notation: 1.148120064 × 109
Factors of 1148120064
Divisors of 1148120064
- Number of divisors d(n): 396
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 37 39 42 48 52 56 63 64 72 74 78 84 91 96 104 111 112 117 126 128 144 148 156 168 182 192 208 222 224 234 252 256 259 273 288 296 312 333 336 364 384 416 444 448 468 481 504 512 518 546 576 592 624 666 672 728 768 777 819 832 888 896 936 962 1008 1024 1036 1092 1152 1184 1248 1332 1344 1369 1443 1456 1536 1554 1638 1664 1776 1792 1872 1924 2016 2072 2184 2304 2331 2368 2496 2664 2688 2738 2886 2912 3072 3108 3276 3328 3367 3552 3584 3744 3848 4032 4107 4144 4329 4368 4608 4662 4736 4992 5328 5376 5476 5772 5824 6216 6552 6656 6734 7104 7168 7488 7696 8064 8214 8288 8658 8736 9216 9324 9472 9583 9984 10101 10656 10752 10952 11544 11648 12321 12432 13104 13312 13468 14208 14976 15392 16128 16428 16576 17316 17472 17797 18648 18944 19166 19968 20202 21312 21504 21904 23088 23296 24642 24864 26208 26936 28416 28749 29952 30303 30784 32256 32856 33152 34632 34944 35594 37296 37888 38332 39936 40404 42624 43808 46176 46592 49284 49728 52416 53391 53872 56832 57498 59904 60606 61568 64512 65712 66304 69264 69888 71188 74592 76664 80808 85248 86247 87616 92352 93184 98568 99456 104832 106782 107744 113664 114996 119808 121212 123136 124579 131424 132608 138528 139776 142376 149184 153328 160173 161616 170496 172494 175232 184704 197136 198912 209664 213564 215488 229992 242424 246272 249158 262848 265216 277056 279552 284752 298368 306656 320346 323232 340992 344988 350464 369408 373737 394272 397824 419328 427128 430976 459984 484848 492544 498316 525696 554112 569504 596736 613312 640692 646464 689976 700928 738816 747474 788544 795648 838656 854256 861952 919968 969696 996632 1051392 1108224 1121211 1139008 1193472 1226624 1281384 1292928 1379952 1401856 1477632 1494948 1577088 1708512 1723904 1839936 1939392 1993264 2102784 2216448 2242422 2278016 2386944 2453248 2562768 2585856 2759904 2989896 3154176 3417024 3447808 3679872 3878784 3986528 4205568 4432896 4484844 4556032 4906496 5125536 5171712 5519808 5979792 6308352 6834048 7359744 7757568 7973056 8969688 9112064 9812992 10251072 10343424 11039616 11959584 12616704 13668096 14719488 15515136 15946112 17939376 18224128 20502144 22079232 23919168 27336192 29438976 31030272 31892224 35878752 41004288 44158464 47838336 54672384 63784448 71757504 82008576 88316928 95676672 127568896 143515008 164017152 191353344 287030016 382706688 574060032 1148120064
- Sum of all divisors σ(n): 4193467824
- Sum of proper divisors (its aliquot sum) s(n): 3045347760
- 1148120064 is an abundant number, because the sum of its proper divisors (3045347760) is greater than itself. Its abundance is 1897227696
Bases of 1148120064
- Binary: 10001000110111011101100000000002
- Hexadecimal: 0x446EEC00
- Base-36: IZK740
Squares and roots of 1148120064
- 1148120064 squared (11481200642) is 1318179681359364096
- 1148120064 cubed (11481200643) is 1513428540125812712898822144
-
The
square root of 1148120064 is 33883.9204343301 -
The
cube root of 1148120064 is 1047.1183463513
Scales and comparisons
How big is 1148120064?- 1,148,120,064 seconds is equal to 36 years, 26 weeks, 2 days, 10 hours, 14 minutes, 24 seconds.
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To count from 1 to 1,148,120,064 would take you about seventy-three 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 1148120064 cubic inches would be around 87.3 feet tall.
Recreational maths with 1148120064
- 1148120064 backwards is 4600218411
- The number of decimal digits it has is: 10
- The sum of 1148120064's digits is 27
- More coming soon!
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