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24132423042 = 2337134910953
BaseRepresentation
bin10110011110011001…
…111000110110000010
32022021211102002222000
4112132121320312002
5343410400014132
615030345324430
71513011132330
oct263631706602
968254362860
1024132423042
11a26413a682
124815a96716
132377882980
14124d06ab50
1596394c87c
hex59e678d82

24132423042 has 64 divisors (see below), whose sum is σ = 66003221760. Its totient is φ = 6364593792.

The previous prime is 24132423019. The next prime is 24132423043. The reversal of 24132423042 is 24032423142.

24132423042 is a `hidden beast` number, since 2 + 413 + 242 + 3 + 0 + 4 + 2 = 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 = 24132422997 and 24132423015.

It is not an unprimeable number, because it can be changed into a prime (24132423043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2450563 + ... + 2460390.

It is an arithmetic number, because the mean of its divisors is an integer number (1031300340).

Almost surely, 224132423042 is an apocalyptic number.

24132423042 is an abundant number, since it is smaller than the sum of its proper divisors (41870798718).

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

24132423042 is a wasteful number, since it uses less digits than its factorization.

24132423042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4910984 (or 4910978 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 24132423042 its reverse (24032423142), we get a palindrome (48164846184).

The spelling of 24132423042 in words is "twenty-four billion, one hundred thirty-two million, four hundred twenty-three thousand, forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 117 126 182 189 234 273 351 378 546 702 819 1638 2457 4914 4910953 9821906 14732859 29465718 34376671 44198577 63842389 68753342 88397154 103130013 127684778 132595731 191527167 206260026 265191462 309390039 383054334 446896723 574581501 618780078 893793446 928170117 1149163002 1340690169 1723744503 1856340234 2681380338 3447489006 4022070507 8044141014 12066211521 24132423042