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140223434400 = 25325272782211
BaseRepresentation
bin1000001010010111110…
…1111100111010100000
3111101221102010112010100
42002211331330322200
54244134144400100
6144230122502400
713062603345360
oct2024575747240
9441842115110
10140223434400
1154517522775
1223214664a00
13102b8c629ba
146b031909a0
1539aa659400
hex20a5f7cea0

140223434400 has 216 divisors, whose sum is σ = 565100643744. Its totient is φ = 32051059200.

The previous prime is 140223434371. The next prime is 140223434411. The reversal of 140223434400 is 4434322041.

It is a happy number.

140223434400 is a `hidden beast` number, since 1 + 4 + 0 + 223 + 4 + 34 + 400 = 666.

140223434400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1402234344002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1340706 + ... + 1441505.

It is an arithmetic number, because the mean of its divisors is an integer number (2616206684).

Almost surely, 2140223434400 is an apocalyptic number.

140223434400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140223434400 is an abundant number, since it is smaller than the sum of its proper divisors (424877209344).

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

140223434400 is a wasteful number, since it uses less digits than its factorization.

140223434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2782244 (or 2782228 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 140223434400 its reverse (4434322041), we get a palindrome (144657756441).

The spelling of 140223434400 in words is "one hundred forty billion, two hundred twenty-three million, four hundred thirty-four thousand, four hundred".