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31227845040 = 2432573314079
BaseRepresentation
bin11101000101010100…
…110001100110110000
32222121022200220010100
4131011110301212300
51002423312020130
622202413032400
72153566206000
oct350524614660
988538626110
1031227845040
11122753391a7
126076185700
132c38888722
141723546000
15c2b814c60
hex7455319b0

31227845040 has 480 divisors, whose sum is σ = 126277632000. Its totient is φ = 6905848320.

The previous prime is 31227845023. The next prime is 31227845053. The reversal of 31227845040 is 4054872213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 31227844986 and 31227845004.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7653721 + ... + 7657799.

It is an arithmetic number, because the mean of its divisors is an integer number (263078400).

Almost surely, 231227845040 is an apocalyptic number.

31227845040 is a gapful number since it is divisible by the number (30) 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 31227845040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63138816000).

31227845040 is an abundant number, since it is smaller than the sum of its proper divisors (95049786960).

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

31227845040 is a wasteful number, since it uses less digits than its factorization.

31227845040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4150 (or 4127 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 31227845040 in words is "thirty-one billion, two hundred twenty-seven million, eight hundred forty-five thousand, forty".