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31441214413 = 7231151137077
BaseRepresentation
bin11101010010000010…
…101101101111001101
310000011012012011212201
4131102002231233031
51003342422330123
622235514201501
72162066625100
oct352202555715
9100135164781
1031441214413
1112374822824
126115723291
132c70b440ab
141743a08737
15c404105ad
hex7520adbcd

31441214413 has 24 divisors (see below), whose sum is σ = 38004601344. Its totient is φ = 25907364000.

The previous prime is 31441214377. The next prime is 31441214443.

31441214413 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-31441214413 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31441214443) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 160831 + ... + 297907.

It is an arithmetic number, because the mean of its divisors is an integer number (1583525056).

Almost surely, 231441214413 is an apocalyptic number.

It is an amenable number.

31441214413 is a deficient number, since it is larger than the sum of its proper divisors (6563386931).

31441214413 is a wasteful number, since it uses less digits than its factorization.

31441214413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137273 (or 137266 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

The spelling of 31441214413 in words is "thirty-one billion, four hundred forty-one million, two hundred fourteen thousand, four hundred thirteen".

Divisors: 1 7 31 49 151 217 1057 1519 4681 7399 32767 137077 229369 959539 4249387 6716773 20698627 29745709 144890389 208219963 641657437 1014232723 4491602059 31441214413