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3115423008 = 2532191992861
BaseRepresentation
bin1011100110110001…
…1001010100100000
322001010012212221100
42321230121110200
522340022014013
61233050154400
7140126441625
oct27154312440
98033185840
103115423008
111359636465
1272b422a00
133a8598089
14217a9034c
15133793473
hexb9b19520

3115423008 has 144 divisors (see below), whose sum is σ = 9375912000. Its totient is φ = 978531840.

The previous prime is 3115423001. The next prime is 3115423019. The reversal of 3115423008 is 8003245113.

It is a happy number.

3115423008 is a `hidden beast` number, since 311 + 5 + 42 + 300 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (3115423001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1087498 + ... + 1090358.

It is an arithmetic number, because the mean of its divisors is an integer number (65110500).

Almost surely, 23115423008 is an apocalyptic number.

3115423008 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3115423008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4687956000).

3115423008 is an abundant number, since it is smaller than the sum of its proper divisors (6260488992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3115423008 is a wasteful number, since it uses less digits than its factorization.

3115423008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3095 (or 3084 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3115423008 is about 55815.9744875963. The cubic root of 3115423008 is about 1460.5138317763.

The spelling of 3115423008 in words is "three billion, one hundred fifteen million, four hundred twenty-three thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 199 228 288 304 342 398 456 597 608 684 796 912 1194 1368 1592 1791 1824 2388 2736 2861 3184 3582 3781 4776 5472 5722 6368 7164 7562 8583 9552 11343 11444 14328 15124 17166 19104 22686 22888 25749 28656 30248 34029 34332 45372 45776 51498 54359 57312 60496 68058 68664 90744 91552 102996 108718 120992 136116 137328 163077 181488 205992 217436 272232 274656 326154 362976 411984 434872 489231 544464 569339 652308 823968 869744 978462 1088928 1138678 1304616 1708017 1739488 1956924 2277356 2609232 3416034 3913848 4554712 5124051 5218464 6832068 7827696 9109424 10248102 10817441 13664136 15655392 18218848 20496204 21634882 27328272 32452323 40992408 43269764 54656544 64904646 81984816 86539528 97356969 129809292 163969632 173079056 194713938 259618584 346158112 389427876 519237168 778855752 1038474336 1557711504 3115423008