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138133039424 = 262986272
BaseRepresentation
bin1000000010100101011…
…1101110100101000000
3111012112201200110022012
42000221113232211000
54230344024230144
6143242450232052
712660031314362
oct2005127564500
9435481613265
10138133039424
1153644555016
1222930585628
1310044b589b3
1469856c4d32
1538d6d8ce9e
hex20295ee940

138133039424 has 42 divisors (see below), whose sum is σ = 283592614170. Its totient is φ = 66677185792.

The previous prime is 138133039381. The next prime is 138133039459. The reversal of 138133039424 is 424930331831.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 119080206400 + 19052833024 = 345080^2 + 138032^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16007399 + ... + 16016025.

Almost surely, 2138133039424 is an apocalyptic number.

It is an amenable number.

138133039424 is an abundant number, since it is smaller than the sum of its proper divisors (145459574746).

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

138133039424 is an frugal number, since it uses more digits than its factorization.

138133039424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17295 (or 8658 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 41.

The spelling of 138133039424 in words is "one hundred thirty-eight billion, one hundred thirty-three million, thirty-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 928 1856 8627 17254 34508 69016 138032 250183 276064 500366 552128 1000732 2001464 4002928 8005856 16011712 74425129 148850258 297700516 595401032 1190802064 2158328741 2381604128 4316657482 4763208256 8633314964 17266629928 34533259856 69066519712 138133039424