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11432312304 = 2437243113039
BaseRepresentation
bin10101010010110101…
…10011110111110000
31002111201220122020020
422221122303313300
5141403132443204
65130230043440
7553206023400
oct125132636760
932451818206
1011432312304
114937273496
1222707a9580
13110267054a
147a6486800
1546d9d6bd9
hex2a96b3df0

11432312304 has 120 divisors (see below), whose sum is σ = 35154535680. Its totient is φ = 3190384512.

The previous prime is 11432312299. The next prime is 11432312317. The reversal of 11432312304 is 40321323411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44617 + ... + 157655.

It is an arithmetic number, because the mean of its divisors is an integer number (292954464).

Almost surely, 211432312304 is an apocalyptic number.

11432312304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11432312304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17577267840).

11432312304 is an abundant number, since it is smaller than the sum of its proper divisors (23722223376).

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

11432312304 is a wasteful number, since it uses less digits than its factorization.

11432312304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113107 (or 113094 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 11432312304 its reverse (40321323411), we get a palindrome (51753635715).

The spelling of 11432312304 in words is "eleven billion, four hundred thirty-two million, three hundred twelve thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 43 48 49 56 84 86 98 112 129 147 168 172 196 258 294 301 336 344 392 516 588 602 688 784 903 1032 1176 1204 1806 2064 2107 2352 2408 3612 4214 4816 6321 7224 8428 12642 14448 16856 25284 33712 50568 101136 113039 226078 339117 452156 678234 791273 904312 1356468 1582546 1808624 2373819 2712936 3165092 4747638 4860677 5425872 5538911 6330184 9495276 9721354 11077822 12660368 14582031 16616733 18990552 19442708 22155644 29164062 33233466 34024739 37981104 38885416 44311288 58328124 66466932 68049478 77770832 88622576 102074217 116656248 132933864 136098956 204148434 233312496 238173173 265867728 272197912 408296868 476346346 544395824 714519519 816593736 952692692 1429039038 1633187472 1905385384 2858078076 3810770768 5716156152 11432312304