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31418281413 = 328342059279
BaseRepresentation
bin11101010000101011…
…001110110111000101
310000002121001001201100
4131100223032313011
51003321040001123
622233334450313
72161400662041
oct352053166705
9100077031640
1031418281413
1112362889932
126109b03999
132c6917497c
141740959021
15c3d3d0643
hex750acedc5

31418281413 has 12 divisors (see below), whose sum is σ = 45928733760. Its totient is φ = 20693164776.

The previous prime is 31418281409. The next prime is 31418281463.

31418281413 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31418281413 - 22 = 31418281409 is a prime.

It is a super-2 number, since 2×314182814132 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31418281403) 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 11 ways as a sum of consecutive naturals, for example, 21028893 + ... + 21030386.

It is an arithmetic number, because the mean of its divisors is an integer number (3827394480).

Almost surely, 231418281413 is an apocalyptic number.

It is an amenable number.

31418281413 is a deficient number, since it is larger than the sum of its proper divisors (14510452347).

31418281413 is a wasteful number, since it uses less digits than its factorization.

31418281413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42059368 (or 42059365 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The spelling of 31418281413 in words is "thirty-one billion, four hundred eighteen million, two hundred eighty-one thousand, four hundred thirteen".

Divisors: 1 3 9 83 249 747 42059279 126177837 378533511 3490920157 10472760471 31418281413