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140247097344 = 2133219531889
BaseRepresentation
bin1000001010011101100…
…0001110000000000000
3111102000001122201120200
42002213120032000000
54244211224103334
6144232330005200
713063311441504
oct2024730160000
9442001581520
10140247097344
1154529915022
1223220576800
13102c0b29443
146b06390304
1539ac780799
hex20a760e000

140247097344 has 336 divisors, whose sum is σ = 434732734800. Its totient is φ = 43429920768.

The previous prime is 140247097339. The next prime is 140247097349. The reversal of 140247097344 is 443790742041.

140247097344 is a `hidden beast` number, since 140 + 2 + 470 + 9 + 7 + 34 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (140247097339) and next prime (140247097349).

It is a self number, because there is not a number n which added to its sum of digits gives 140247097344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140247097349) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 74243152 + ... + 74245040.

It is an arithmetic number, because the mean of its divisors is an integer number (1293847425).

Almost surely, 2140247097344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140247097344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217366367400).

140247097344 is an abundant number, since it is smaller than the sum of its proper divisors (294485637456).

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

140247097344 is a wasteful number, since it uses less digits than its factorization.

140247097344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1993 (or 1966 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 140247097344 in words is "one hundred forty billion, two hundred forty-seven million, ninety-seven thousand, three hundred forty-four".