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32144501140 = 2256217258521
BaseRepresentation
bin11101111011111101…
…100010100110010100
310001222012112211220021
4131323331202212110
51011312443014030
622433400114524
72215366515523
oct357375424624
9101865484807
1032144501140
11126a5807524
126291165a44
13305376449b
1417ad19a4ba
15c8203197a
hex77bf62994

32144501140 has 24 divisors (see below), whose sum is σ = 67514571432. Its totient is φ = 12855682560.

The previous prime is 32144501111. The next prime is 32144501197. The reversal of 32144501140 is 4110544123.

It can be written as a sum of positive squares in 4 ways, for example, as 134281744 + 32010219396 = 11588^2 + 178914^2 .

It is a super-2 number, since 2×321445011402 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4921 + ... + 253600.

It is an arithmetic number, because the mean of its divisors is an integer number (2813107143).

Almost surely, 232144501140 is an apocalyptic number.

It is an amenable number.

32144501140 is an abundant number, since it is smaller than the sum of its proper divisors (35370070292).

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

32144501140 is a wasteful number, since it uses less digits than its factorization.

32144501140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264747 (or 264745 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The spelling of 32144501140 in words is "thirty-two billion, one hundred forty-four million, five hundred one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 6217 12434 24868 31085 62170 124340 258521 517042 1034084 1292605 2585210 5170420 1607225057 3214450114 6428900228 8036125285 16072250570 32144501140