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31034422749 = 31119475092069
BaseRepresentation
bin11100111001110010…
…111011010111011101
32222002211202000121210
4130321302323113131
51002024303011444
622131303215033
72146030145421
oct347162732735
988084660553
1031034422749
1112186139170
126021447479
132c07795375
141705996b81
15c198597b9
hex739cbb5dd

31034422749 has 64 divisors (see below), whose sum is σ = 48646656000. Its totient is φ = 17397008640.

The previous prime is 31034422733. The next prime is 31034422763. The reversal of 31034422749 is 94722443013.

It is not a de Polignac number, because 31034422749 - 24 = 31034422733 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31034442749) 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, 14998687 + ... + 15000755.

It is an arithmetic number, because the mean of its divisors is an integer number (760104000).

Almost surely, 231034422749 is an apocalyptic number.

It is an amenable number.

31034422749 is a deficient number, since it is larger than the sum of its proper divisors (17612233251).

31034422749 is a wasteful number, since it uses less digits than its factorization.

31034422749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2658.

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 31034422749 in words is "thirty-one billion, thirty-four million, four hundred twenty-two thousand, seven hundred forty-nine".

Divisors: 1 3 11 19 33 47 57 141 209 509 517 627 893 1527 1551 2069 2679 5599 6207 9671 9823 16797 22759 23923 29013 29469 39311 68277 71769 97243 106381 117933 263153 291729 319143 432421 454537 789459 1053121 1069673 1297263 1363611 1847617 3159363 3209019 4999907 5542851 11584331 14999721 20009299 20323787 34752993 49496687 60027897 60971361 148490061 220102289 544463557 660306867 940437053 1633390671 2821311159 10344807583 31034422749