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140014400 = 265287509
BaseRepresentation
bin10000101100001…
…11001101000000
3100202110110122112
420112013031000
5241320430100
621520554452
73320050151
oct1026071500
9322413575
10140014400
1172041989
123aa82a28
1323013a76
1414849928
15c45ab35
hex8587340

140014400 has 42 divisors (see below), whose sum is σ = 344526870. Its totient is φ = 56005120.

The previous prime is 140014373. The next prime is 140014403. The reversal of 140014400 is 4410041.

It can be written as a sum of positive squares in 3 ways, for example, as 40653376 + 99361024 = 6376^2 + 9968^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140014403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 42155 + ... + 45354.

Almost surely, 2140014400 is an apocalyptic number.

140014400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140014400 is an abundant number, since it is smaller than the sum of its proper divisors (204512470).

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

140014400 is an equidigital number, since it uses as much as digits as its factorization.

140014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87531 (or 87516 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 140014400 is about 11832.7680616160. The cubic root of 140014400 is about 519.2672124117.

Adding to 140014400 its reverse (4410041), we get a palindrome (144424441).

The spelling of 140014400 in words is "one hundred forty million, fourteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 87509 175018 350036 437545 700072 875090 1400144 1750180 2187725 2800288 3500360 4375450 5600576 7000720 8750900 14001440 17501800 28002880 35003600 70007200 140014400