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31054039511040 = 21237571319401
BaseRepresentation
bin1110000111110010101001…
…11111100111000000000000
311001221201220101222210000000
413003321110333213000000
513032242133103323130
6150014010120000000
76353403022405140
oct703712477470000
9131851811883000
1031054039511040
119992a427aa477
123596593000000
1314434ca321310
14795048800920
1538cbc0862260
hex1c3e54fe7000

31054039511040 has 3328 divisors, whose sum is σ = 145156367462400. Its totient is φ = 6191736422400.

The previous prime is 31054039511017. The next prime is 31054039511063. The reversal of 31054039511040 is 4011593045013.

31054039511040 is a `hidden beast` number, since 3 + 1 + 0 + 540 + 3 + 9 + 5 + 1 + 104 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (31054039511017) and next prime (31054039511063).

It is a tau number, because it is divible by the number of its divisors (3328).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 31054039510986 and 31054039511004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 77441494840 + ... + 77441495240.

Almost surely, 231054039511040 is an apocalyptic number.

31054039511040 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 31054039511040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72578183731200).

31054039511040 is an abundant number, since it is smaller than the sum of its proper divisors (114102327951360).

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

31054039511040 is an equidigital number, since it uses as much as digits as its factorization.

31054039511040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 31054039511040 in words is "thirty-one trillion, fifty-four billion, thirty-nine million, five hundred eleven thousand, forty".