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31340341312 = 2671931731627
BaseRepresentation
bin11101001100000001…
…111010100001000000
32222220011101021222221
4131030001322201000
51003141111410222
622221512140424
72156433335320
oct351401724100
988804337887
1031340341312
1112322895325
1260a7997714
132c55c86077
14173446b280
15c366370c7
hex74c07a840

31340341312 has 224 divisors, whose sum is σ = 78335713280. Its totient is φ = 12138024960.

The previous prime is 31340341283. The next prime is 31340341339. The reversal of 31340341312 is 21314304313.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19261843 + ... + 19263469.

Almost surely, 231340341312 is an apocalyptic number.

31340341312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31340341312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39167856640).

31340341312 is an abundant number, since it is smaller than the sum of its proper divisors (46995371968).

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

31340341312 is a wasteful number, since it uses less digits than its factorization.

31340341312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1769 (or 1759 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 31340341312 its reverse (21314304313), we get a palindrome (52654645625).

The spelling of 31340341312 in words is "thirty-one billion, three hundred forty million, three hundred forty-one thousand, three hundred twelve".