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140431140 = 22325780173
BaseRepresentation
bin10000101111011…
…00111100100100
3100210020122022100
420113230330210
5241422244030
621533532100
73323434143
oct1027547444
9323218270
10140431140
11722a6aa3
123b044030
132312b665
141491775a
15c4de360
hex85ecf24

140431140 has 36 divisors (see below), whose sum is σ = 425975004. Its totient is φ = 37448256.

The previous prime is 140431097. The next prime is 140431153. The reversal of 140431140 is 41134041.

140431140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 109495296 + 30935844 = 10464^2 + 5562^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 389907 + ... + 390266.

It is an arithmetic number, because the mean of its divisors is an integer number (11832639).

Almost surely, 2140431140 is an apocalyptic number.

140431140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140431140 is an abundant number, since it is smaller than the sum of its proper divisors (285543864).

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

140431140 is a wasteful number, since it uses less digits than its factorization.

140431140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780188 (or 780183 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 140431140 is about 11850.3645513545. The cubic root of 140431140 is about 519.7818858423.

Adding to 140431140 its reverse (41134041), we get a palindrome (181565181).

The spelling of 140431140 in words is "one hundred forty million, four hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 780173 1560346 2340519 3120692 3900865 4681038 7021557 7801730 9362076 11702595 14043114 15603460 23405190 28086228 35107785 46810380 70215570 140431140