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312226043076 = 2232174211211813
BaseRepresentation
bin1001000101100100001…
…11110101010011000100
31002211220120101100220100
410202302013311103010
520103414331334301
6355233515404100
731362152401653
oct4426207652304
91084816340810
10312226043076
11110461509432
1250617a53630
132359aa6861c
141117cba119a
1581c5bd0286
hex48b21f54c4

312226043076 has 72 divisors (see below), whose sum is σ = 837649462104. Its totient is φ = 97720519680.

The previous prime is 312226043023. The next prime is 312226043081. The reversal of 312226043076 is 670340622213.

312226043076 is a `hidden beast` number, since 3 + 12 + 2 + 2 + 604 + 30 + 7 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 41018400900 + 271207642176 = 202530^2 + 520776^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 312226043076.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 348255 + ... + 863558.

It is an arithmetic number, because the mean of its divisors is an integer number (11634020307).

Almost surely, 2312226043076 is an apocalyptic number.

312226043076 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

312226043076 is an abundant number, since it is smaller than the sum of its proper divisors (525423419028).

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

312226043076 is a wasteful number, since it uses less digits than its factorization.

312226043076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212261 (or 1212256 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

Adding to 312226043076 its reverse (670340622213), we get a palindrome (982566665289).

The spelling of 312226043076 in words is "three hundred twelve billion, two hundred twenty-six million, forty-three thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 421 612 842 1263 1684 2526 3789 5052 7157 7578 14314 15156 21471 28628 42942 64413 85884 128826 257652 1211813 2423626 3635439 4847252 7270878 10906317 14541756 20600821 21812634 41201642 43625268 61802463 82403284 123604926 185407389 247209852 370814778 510173273 741629556 1020346546 1530519819 2040693092 3061039638 4591559457 6122079276 8672945641 9183118914 17345891282 18366237828 26018836923 34691782564 52037673846 78056510769 104075347692 156113021538 312226043076