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6344114848 = 251492415521
BaseRepresentation
bin1011110100010001…
…11000001010100000
3121101010120102111121
411322020320022200
5100443043133343
62525304222024
7313133041441
oct57210701240
917333512447
106344114848
1127660a6425
12129076a914
137a1471316
144427c72c8
15271e5caed
hex17a2382a0

6344114848 has 48 divisors (see below), whose sum is σ = 12628261800. Its totient is φ = 3137126400.

The previous prime is 6344114809. The next prime is 6344114867. The reversal of 6344114848 is 8484114436.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4370267664 + 1973847184 = 66108^2 + 44428^2 .

It is a super-2 number, since 2×63441148482 = 80495586409228126208, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1146328 + ... + 1151848.

Almost surely, 26344114848 is an apocalyptic number.

It is an amenable number.

6344114848 is a deficient number, since it is larger than the sum of its proper divisors (6284146952).

6344114848 is a wasteful number, since it uses less digits than its factorization.

6344114848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5921 (or 5913 counting only the distinct ones).

The product of its digits is 294912, while the sum is 43.

The square root of 6344114848 is about 79649.9519648317. The cubic root of 6344114848 is about 1851.2156459159.

The spelling of 6344114848 in words is "six billion, three hundred forty-four million, one hundred fourteen thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 32 149 241 298 482 596 964 1192 1928 2384 3856 4768 5521 7712 11042 22084 35909 44168 71818 88336 143636 176672 287272 574544 822629 1149088 1330561 1645258 2661122 3290516 5322244 6581032 10644488 13162064 21288976 26324128 42577952 198253589 396507178 793014356 1586028712 3172057424 6344114848