4148388864
4,148,388,864 is an even composite number composed of five prime numbers multiplied together.
4148388864 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred fifty-two divisors.
Prime factorization of 4148388864:
210 × 33 × 19 × 53 × 149
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 19 × 53 × 149)See below for interesting mathematical facts about the number 4148388864 from the Numbermatics database.
Names of 4148388864
- Cardinal: 4148388864 can be written as Four billion, one hundred forty-eight million, three hundred eighty-eight thousand, eight hundred sixty-four.
Scientific notation
- Scientific notation: 4.148388864 × 109
Factors of 4148388864
Divisors of 4148388864
- Number of divisors d(n): 352
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 53 54 57 64 72 76 96 106 108 114 128 144 149 152 159 171 192 212 216 228 256 288 298 304 318 342 384 424 432 447 456 477 512 513 576 596 608 636 684 768 848 864 894 912 954 1007 1024 1026 1152 1192 1216 1272 1341 1368 1431 1536 1696 1728 1788 1824 1908 2014 2052 2304 2384 2432 2544 2682 2736 2831 2862 3021 3072 3392 3456 3576 3648 3816 4023 4028 4104 4608 4768 4864 5088 5364 5472 5662 5724 6042 6784 6912 7152 7296 7632 7897 8046 8056 8208 8493 9063 9216 9536 9728 10176 10728 10944 11324 11448 12084 13568 13824 14304 14592 15264 15794 16092 16112 16416 16986 18126 19072 19456 20352 21456 21888 22648 22896 23691 24168 25479 27136 27189 27648 28608 29184 30528 31588 32184 32224 32832 33972 36252 38144 40704 42912 43776 45296 45792 47382 48336 50958 54272 54378 57216 58368 61056 63176 64368 64448 65664 67944 71073 72504 76288 76437 81408 85824 87552 90592 91584 94764 96672 101916 108756 114432 122112 126352 128736 128896 131328 135888 142146 145008 150043 152576 152874 162816 171648 175104 181184 183168 189528 193344 203832 213219 217512 228864 244224 252704 257472 257792 262656 271776 284292 290016 300086 305748 343296 362368 366336 379056 386688 407664 426438 435024 450129 457728 488448 505408 514944 515584 525312 543552 568584 580032 600172 611496 686592 724736 732672 758112 773376 815328 852876 870048 900258 1010816 1029888 1031168 1087104 1137168 1160064 1200344 1222992 1350387 1373184 1449472 1465344 1516224 1546752 1630656 1705752 1740096 1800516 2021632 2059776 2174208 2274336 2320128 2400688 2445984 2700774 2898944 3032448 3093504 3261312 3411504 3480192 3601032 4043264 4051161 4119552 4348416 4548672 4640256 4801376 4891968 5401548 6064896 6522624 6823008 6960384 7202064 8086528 8102322 8696832 9097344 9280512 9602752 9783936 10803096 12129792 13045248 13646016 13920768 14404128 16204644 18194688 19205504 19567872 21606192 24259584 26090496 27292032 27841536 28808256 32409288 36389376 38411008 39135744 43212384 54584064 57616512 64818576 72778752 76822016 78271488 86424768 109168128 115233024 129637152 153644032 172849536 218336256 230466048 259274304 345699072 460932096 518548608 691398144 1037097216 1382796288 2074194432 4148388864
- Sum of all divisors σ(n): 13264560000
- Sum of proper divisors (its aliquot sum) s(n): 9116171136
- 4148388864 is an abundant number, because the sum of its proper divisors (9116171136) is greater than itself. Its abundance is 4967782272
Bases of 4148388864
- Binary: 111101110100001101100100000000002
- Hexadecimal: 0xF7436400
- Base-36: 1WLUDC0
Squares and roots of 4148388864
- 4148388864 squared (41483888642) is 17209130166959210496
- 4148388864 cubed (41483888643) is 71390163943740049563838316544
-
The
square root of 4148388864 is 64407.9875791813 -
The
cube root of 4148388864 is 1606.7925888195
Scales and comparisons
How big is 4148388864?- 4,148,388,864 seconds is equal to 131 years, 47 weeks, 18 hours, 14 minutes, 24 seconds.
-
To count from 1 to 4,148,388,864 would take you about two hundred sixty-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 4148388864 cubic inches would be around 133.9 feet tall.
Recreational maths with 4148388864
- 4148388864 backwards is 4688838414
- 4148388864 is a
Harshad number . - The number of decimal digits it has is: 10
- The sum of 4148388864's digits is 54
- More coming soon!
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