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140791235562432 = 263371329476011093
BaseRepresentation
bin100000000000110010000011…
…100101010100101111000000
3200110111111210021112201111000
4200000302003211110233000
5121423210422300444212
61215234333431052000
741440555031431020
oct4000620345245700
9613444707481430
10140791235562432
1140951256067304
121395a34bb11000
136073730965b30
1426aa491639a80
1511424831331dc
hex800c83954bc0

140791235562432 has 1792 divisors, whose sum is σ = 539582729011200. Its totient is φ = 34998121267200.

The previous prime is 140791235562421. The next prime is 140791235562433. The reversal of 140791235562432 is 234265532197041.

It is a happy number.

140791235562432 is a `hidden beast` number, since 1 + 4 + 0 + 7 + 9 + 1 + 2 + 3 + 5 + 5 + 624 + 3 + 2 = 666.

It is a super-2 number, since 2×1407912355624322 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140791235562433) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 128811742878 + ... + 128811743970.

It is an arithmetic number, because the mean of its divisors is an integer number (301106433600).

Almost surely, 2140791235562432 is an apocalyptic number.

140791235562432 is a gapful number since it is divisible by the number (12) 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 140791235562432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269791364505600).

140791235562432 is an abundant number, since it is smaller than the sum of its proper divisors (398791493448768).

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

140791235562432 is a wasteful number, since it uses less digits than its factorization.

140791235562432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1811 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 140791235562432 in words is "one hundred forty trillion, seven hundred ninety-one billion, two hundred thirty-five million, five hundred sixty-two thousand, four hundred thirty-two".