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31363229040 = 24351121383077
BaseRepresentation
bin11101001101011001…
…001110010101110000
32222221202110010001120
4131031121032111300
51003212441312130
622224050502240
72160132022353
oct351531162560
988852403046
1031363229040
11123347a8200
1260b3594980
132c5a93a9c0
14173750829a
15c38658910
hex74d64e570

31363229040 has 240 divisors, whose sum is σ = 115090279584. Its totient is φ = 7018260480.

The previous prime is 31363229039. The next prime is 31363229113. The reversal of 31363229040 is 4092236313.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 31363228992 and 31363229010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 335982 + ... + 419058.

Almost surely, 231363229040 is an apocalyptic number.

31363229040 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 31363229040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57545139792).

31363229040 is an abundant number, since it is smaller than the sum of its proper divisors (83727050544).

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

31363229040 is a wasteful number, since it uses less digits than its factorization.

31363229040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83128 (or 83111 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The spelling of 31363229040 in words is "thirty-one billion, three hundred sixty-three million, two hundred twenty-nine thousand, forty".