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34131212412 = 22311318340961
BaseRepresentation
bin11111110010011000…
…001111100001111100
310021002122220020102020
4133302120033201330
51024400042244122
623402450200140
72315542342623
oct376230174174
9107078806366
1034131212412
11135251a8070
126746583050
1332ac23809b
14191ad966ba
15d4b66bc5c
hex7f260f87c

34131212412 has 48 divisors (see below), whose sum is σ = 89682023424. Its totient is φ = 10009152000.

The previous prime is 34131212389. The next prime is 34131212413. The reversal of 34131212412 is 21421213143.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34131212413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4166389 + ... + 4174572.

It is an arithmetic number, because the mean of its divisors is an integer number (1868375488).

Almost surely, 234131212412 is an apocalyptic number.

It is an amenable number.

34131212412 is an abundant number, since it is smaller than the sum of its proper divisors (55550811012).

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

34131212412 is a wasteful number, since it uses less digits than its factorization.

34131212412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8341010 (or 8341008 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

Adding to 34131212412 its reverse (21421213143), we get a palindrome (55552425555).

The spelling of 34131212412 in words is "thirty-four billion, one hundred thirty-one million, two hundred twelve thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 682 1023 1364 2046 4092 8340961 16681922 25022883 33363844 50045766 91750571 100091532 183501142 258569791 275251713 367002284 517139582 550503426 775709373 1034279164 1101006852 1551418746 2844267701 3102837492 5688535402 8532803103 11377070804 17065606206 34131212412