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44137514335131 = 3372333613020993
BaseRepresentation
bin10100000100100100100001…
…10111001111101110011011
312210021111122021002201211000
422002102100313033232123
521241122112132211011
6233512254423440043
712203554515443610
oct1202222067175633
9183244567081730
1044137514335131
11130776841a7a98
124b4a1902b6023
131b821c3ca4869
14ac83a4c88507
155181b85a0356
hex282490dcfb9b

44137514335131 has 64 divisors (see below), whose sum is σ = 78002548439040. Its totient is φ = 24117666693120.

The previous prime is 44137514335097. The next prime is 44137514335141. The reversal of 44137514335131 is 13153341573144.

44137514335131 is a `hidden beast` number, since 4 + 4 + 1 + 37 + 51 + 433 + 5 + 131 = 666.

44137514335131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 44137514335131 - 27 = 44137514335003 is a prime.

It is a super-2 number, since 2×441375143351312 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (44137514335141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13099771 + ... + 16120763.

It is an arithmetic number, because the mean of its divisors is an integer number (1218789819360).

Almost surely, 244137514335131 is an apocalyptic number.

44137514335131 is a deficient number, since it is larger than the sum of its proper divisors (33865034103909).

44137514335131 is a wasteful number, since it uses less digits than its factorization.

44137514335131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3024393 (or 3024387 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The spelling of 44137514335131 in words is "forty-four trillion, one hundred thirty-seven billion, five hundred fourteen million, three hundred thirty-five thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 23 27 63 69 161 189 207 483 621 1449 3361 4347 10083 23527 30249 70581 77303 90747 211743 231909 541121 635229 695727 1623363 2087181 3020993 4870089 9062979 14610267 21146951 27188937 63440853 69482839 81566811 190322559 208448517 486379873 570967677 625345551 1459139619 1876036653 4377418857 10153557473 13132256571 30460672419 71074902311 91382017257 213224706933 233531821879 274146051771 639674120799 700595465637 1634722753153 1919022362397 2101786396911 4904168259459 6305359190733 14712504778377 44137514335131