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140806551029760 = 21132572115379677
BaseRepresentation
bin100000000001000000010100…
…011101001100100000000000
3200110112222022122022001222200
4200001000110131030200000
5121423433304030423020
61215245345254433200
741441636411650200
oct4001002435144000
9613488278261880
10140806551029760
11409577a5267620
1213961305062800
136075001966c35
1426ab1056dc400
151142a7c9ae590
hex80101474c800

140806551029760 has 3456 divisors, whose sum is σ = 639908753702400. Its totient is φ = 28301218283520.

The previous prime is 140806551029717. The next prime is 140806551029831. The reversal of 140806551029760 is 67920155608041.

It is a happy number.

140806551029760 is a `hidden beast` number, since 1 + 4 + 0 + 8 + 0 + 6 + 551 + 0 + 29 + 7 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 140806551029697 and 140806551029706.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 207986042542 + ... + 207986043218.

It is an arithmetic number, because the mean of its divisors is an integer number (185158782900).

Almost surely, 2140806551029760 is an apocalyptic number.

140806551029760 is a gapful number since it is divisible by the number (10) 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 140806551029760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319954376851200).

140806551029760 is an abundant number, since it is smaller than the sum of its proper divisors (499102202672640).

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

140806551029760 is a wasteful number, since it uses less digits than its factorization.

140806551029760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 140806551029760 in words is "one hundred forty trillion, eight hundred six billion, five hundred fifty-one million, twenty-nine thousand, seven hundred sixty".