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312144335552 = 267696750749
BaseRepresentation
bin1001000101011010100…
…00001001001011000000
31002211200212122012020202
410202231100021023000
520103232422214202
6355221440224332
731360141034420
oct4425520111300
91084625565222
10312144335552
1111041a381355
12505b460b0a8
1323586b5ac8a
1411171db2480
1581bd940802
hex48ad4092c0

312144335552 has 28 divisors (see below), whose sum is σ = 707898762000. Its totient is φ = 133776143616.

The previous prime is 312144335519. The next prime is 312144335641. The reversal of 312144335552 is 255533441213.

It is a tau number, because it is divible by the number of its divisors (28).

It is a super-2 number, since 2×3121443355522 (a number of 24 digits) 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 3 ways as a sum of consecutive naturals, for example, 348374927 + ... + 348375822.

Almost surely, 2312144335552 is an apocalyptic number.

312144335552 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

312144335552 is an abundant number, since it is smaller than the sum of its proper divisors (395754426448).

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

312144335552 is an equidigital number, since it uses as much as digits as its factorization.

312144335552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696750768 (or 696750758 counting only the distinct ones).

The product of its digits is 216000, while the sum is 38.

Adding to 312144335552 its reverse (255533441213), we get a palindrome (567677776765).

The spelling of 312144335552 in words is "three hundred twelve billion, one hundred forty-four million, three hundred thirty-five thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 696750749 1393501498 2787002996 4877255243 5574005992 9754510486 11148011984 19509020972 22296023968 39018041944 44592047936 78036083888 156072167776 312144335552