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312211414432 = 2537308385531
BaseRepresentation
bin1001000101100010100…
…00000001110110100000
31002211212112212011011201
410202301100001312200
520103402110230212
6355232234050544
731361614143601
oct4426120016640
91084775764151
10312211414432
11110454227745
1250612b79a54
1323597a16018
141117ac73da8
1581c4790b57
hex48b1401da0

312211414432 has 48 divisors (see below), whose sum is σ = 631490967072. Its totient is φ = 151835592960.

The previous prime is 312211414387. The next prime is 312211414441. The reversal of 312211414432 is 234414112213.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 312211414432.

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, 3607507 + ... + 3693037.

It is an arithmetic number, because the mean of its divisors is an integer number (13156061814).

Almost surely, 2312211414432 is an apocalyptic number.

312211414432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

312211414432 is an abundant number, since it is smaller than the sum of its proper divisors (319279552640).

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

312211414432 is a wasteful number, since it uses less digits than its factorization.

312211414432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88661 (or 88653 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

Adding to 312211414432 its reverse (234414112213), we get a palindrome (546625526645).

The spelling of 312211414432 in words is "three hundred twelve billion, two hundred eleven million, four hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 37 74 148 296 592 1184 3083 6166 12332 24664 49328 85531 98656 114071 171062 228142 342124 456284 684248 912568 1368496 1825136 2736992 3164647 3650272 6329294 12658588 25317176 50634352 101268704 263692073 527384146 1054768292 2109536584 4219073168 8438146336 9756606701 19513213402 39026426804 78052853608 156105707216 312211414432