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24412140234 = 2331967355127
BaseRepresentation
bin10110101111000100…
…111011001011001010
32100000022202012211000
4112233010323023022
5344444001441414
615114220515430
71522645524336
oct265704731312
970008665730
1024412140234
11a398020309
1248936abb76
1323c07cb6c1
1412782807c6
1597d2a1b09
hex5af13b2ca

24412140234 has 64 divisors (see below), whose sum is σ = 57956889600. Its totient is φ = 7594014384.

The previous prime is 24412140227. The next prime is 24412140257. The reversal of 24412140234 is 43204121442.

24412140234 is a `hidden beast` number, since 2 + 4 + 412 + 14 + 0 + 234 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 24412140198 and 24412140207.

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 31 ways as a sum of consecutive naturals, for example, 108822 + ... + 246305.

It is an arithmetic number, because the mean of its divisors is an integer number (905576400).

Almost surely, 224412140234 is an apocalyptic number.

24412140234 is an abundant number, since it is smaller than the sum of its proper divisors (33544749366).

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

24412140234 is a wasteful number, since it uses less digits than its factorization.

24412140234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355224 (or 355218 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 24412140234 its reverse (43204121442), we get a palindrome (67616261676).

The spelling of 24412140234 in words is "twenty-four billion, four hundred twelve million, one hundred forty thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 67 114 134 171 201 342 402 513 603 1026 1206 1273 1809 2546 3618 3819 7638 11457 22914 34371 68742 355127 710254 1065381 2130762 3196143 6392286 6747413 9588429 13494826 19176858 20242239 23793509 40484478 47587018 60726717 71380527 121453434 142761054 182180151 214141581 364360302 428283162 452076671 642424743 904153342 1284849486 1356230013 2712460026 4068690039 8137380078 12206070117 24412140234