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31426441332 = 2231113171931259
BaseRepresentation
bin11101010001001010…
…010111000001110100
310000010011101122000120
4131101022113001310
51003330132110312
622234225411540
72161530225636
oct352112270164
9100104348016
1031426441332
1112367452570
126110799bb0
132c6aa70b20
141741a80a56
15c3de9328c
hex751297074

31426441332 has 576 divisors, whose sum is σ = 100895155200. Its totient is φ = 7456665600.

The previous prime is 31426441327. The next prime is 31426441337. The reversal of 31426441332 is 23314462413.

It is an interprime number because it is at equal distance from previous prime (31426441327) and next prime (31426441337).

It is a Harshad number since it is a multiple of its sum of digits (33).

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

It is a junction number, because it is equal to n+sod(n) for n = 31426441293 and 31426441302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31426441337) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 532651519 + ... + 532651577.

It is an arithmetic number, because the mean of its divisors is an integer number (175165200).

Almost surely, 231426441332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31426441332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50447577600).

31426441332 is an abundant number, since it is smaller than the sum of its proper divisors (69468713868).

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

31426441332 is a wasteful number, since it uses less digits than its factorization.

31426441332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 155 counting only the distinct ones).

The product of its digits is 41472, while the sum is 33.

The spelling of 31426441332 in words is "thirty-one billion, four hundred twenty-six million, four hundred forty-one thousand, three hundred thirty-two".