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140070955392 = 2732263643719
BaseRepresentation
bin1000001001110011100…
…0010010100110000000
3111101112210012210020200
42002130320102212000
54243331131033032
6144203034405200
713056042322224
oct2023470224600
9441483183220
10140070955392
1154449447a65
1223191590800
13102934a6634
146acac1c784
15399c08a47c
hex209ce12980

140070955392 has 192 divisors, whose sum is σ = 405794188800. Its totient is φ = 46375861248.

The previous prime is 140070955379. The next prime is 140070955417. The reversal of 140070955392 is 293559070041.

It is a happy number.

140070955392 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 7 + 0 + 9 + 553 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194813209 + ... + 194813927.

It is an arithmetic number, because the mean of its divisors is an integer number (2113511400).

Almost surely, 2140070955392 is an apocalyptic number.

140070955392 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 140070955392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202897094400).

140070955392 is an abundant number, since it is smaller than the sum of its proper divisors (265723233408).

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

140070955392 is a wasteful number, since it uses less digits than its factorization.

140070955392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 140070955392 in words is "one hundred forty billion, seventy million, nine hundred fifty-five thousand, three hundred ninety-two".