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31331214414 = 2327323844151
BaseRepresentation
bin11101001011011111…
…000110010001001110
32222212112012121020200
4131023133012101032
51003131242330124
622220544354330
72156262633303
oct351337062116
988775177220
1031331214414
1112318721135
1260a49159a6
132c5410ba36
1417331730aa
15c35932bc9
hex74b7c644e

31331214414 has 24 divisors (see below), whose sum is σ = 68814222672. Its totient is φ = 10300672800.

The previous prime is 31331214407. The next prime is 31331214419. The reversal of 31331214414 is 41441213313.

31331214414 is a `hidden beast` number, since 3 + 1 + 3 + 31 + 214 + 414 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31331214419) 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, 11920762 + ... + 11923389.

It is an arithmetic number, because the mean of its divisors is an integer number (2867259278).

Almost surely, 231331214414 is an apocalyptic number.

31331214414 is an abundant number, since it is smaller than the sum of its proper divisors (37483008258).

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

31331214414 is a wasteful number, since it uses less digits than its factorization.

31331214414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23844232 (or 23844229 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 31331214414 its reverse (41441213313), we get a palindrome (72772427727).

The spelling of 31331214414 in words is "thirty-one billion, three hundred thirty-one million, two hundred fourteen thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 73 146 219 438 657 1314 23844151 47688302 71532453 143064906 214597359 429194718 1740623023 3481246046 5221869069 10443738138 15665607207 31331214414