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31423941120 = 2935111323171
BaseRepresentation
bin11101010001000000…
…110100101000000000
310000002222200121101010
4131101000310220000
51003324012103440
622234100040520
72161500043455
oct352100645000
9100088617333
1031423941120
1112365aa5080
12610b993140
132c6a3a6b00
1417415cd82c
15c3db4c580
hex751034a00

31423941120 has 960 divisors, whose sum is σ = 124222906368. Its totient is φ = 6709248000.

The previous prime is 31423941119. The next prime is 31423941127. The reversal of 31423941120 is 2114932413.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (31423941127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 442590685 + ... + 442590755.

Almost surely, 231423941120 is an apocalyptic number.

31423941120 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 31423941120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62111453184).

31423941120 is an abundant number, since it is smaller than the sum of its proper divisors (92798965248).

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

31423941120 is a wasteful number, since it uses less digits than its factorization.

31423941120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 31423941120 in words is "thirty-one billion, four hundred twenty-three million, nine hundred forty-one thousand, one hundred twenty".