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311434433144 = 232324112371451
BaseRepresentation
bin1001000100000101111…
…00000101001001111000
31002202212101211102012222
410202002330011021320
520100304203330034
6355023200423212
731333431001202
oct4420274051170
91082771742188
10311434433144
1111009568914a
1250436917b08
13234a2a62593
14111059bb772
15817b46412e
hex4882f05278

311434433144 has 96 divisors (see below), whose sum is σ = 626257502640. Its totient is φ = 145096512000.

The previous prime is 311434433143. The next prime is 311434433161. The reversal of 311434433144 is 441334434113.

It is a super-2 number, since 2×3114344331442 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311434433143) 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, 214633619 + ... + 214635069.

Almost surely, 2311434433144 is an apocalyptic number.

It is an amenable number.

311434433144 is an abundant number, since it is smaller than the sum of its proper divisors (314823069496).

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

311434433144 is a wasteful number, since it uses less digits than its factorization.

311434433144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2781 (or 2754 counting only the distinct ones).

The product of its digits is 82944, while the sum is 35.

Adding to 311434433144 its reverse (441334434113), we get a palindrome (752768867257).

The spelling of 311434433144 in words is "three hundred eleven billion, four hundred thirty-four million, four hundred thirty-three thousand, one hundred forty-four".

Divisors: 1 2 4 8 23 41 46 82 92 164 184 328 529 943 1058 1237 1451 1886 2116 2474 2902 3772 4232 4948 5804 7544 9896 11608 21689 28451 33373 43378 50717 56902 59491 66746 86756 101434 113804 118982 133492 173512 202868 227608 237964 266984 405736 475928 654373 767579 1166491 1308746 1368293 1535158 1794887 2332982 2617492 2736586 3070316 3589774 4665964 5234984 5473172 6140632 7179548 9331928 10946344 14359096 26829293 31470739 41282401 53658586 62941478 73590367 82564802 107317172 125882956 147180734 165129604 214634344 251765912 294361468 330259208 588722936 949495223 1692578441 1898990446 3385156882 3797980892 6770313764 7595961784 13540627528 38929304143 77858608286 155717216572 311434433144