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32142200141 = 294135817549
BaseRepresentation
bin11101111011110100…
…110000110101001101
310001222001012221112002
4131323310300311031
51011311400401031
622433234522045
72215341123212
oct357364606515
9101861187462
1032142200141
11126a4485777
126290436325
13305313a04c
1417acb5bb09
15c81c29ccb
hex77bd30d4d

32142200141 has 16 divisors (see below), whose sum is σ = 34075566000. Its totient is φ = 30264460800.

The previous prime is 32142200131. The next prime is 32142200159. The reversal of 32142200141 is 14100224123.

It can be written as a sum of positive squares in 8 ways, for example, as 616777225 + 31525422916 = 24835^2 + 177554^2 .

It is a cyclic number.

It is not a de Polignac number, because 32142200141 - 226 = 32075091277 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32142200131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4254035 + ... + 4261583.

It is an arithmetic number, because the mean of its divisors is an integer number (2129722875).

Almost surely, 232142200141 is an apocalyptic number.

It is an amenable number.

32142200141 is a deficient number, since it is larger than the sum of its proper divisors (1933365859).

32142200141 is a wasteful number, since it uses less digits than its factorization.

32142200141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11200.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 32142200141 its reverse (14100224123), we get a palindrome (46242424264).

The spelling of 32142200141 in words is "thirty-two billion, one hundred forty-two million, two hundred thousand, one hundred forty-one".

Divisors: 1 29 41 1189 3581 7549 103849 146821 218921 309509 4257809 8975761 27032969 783956101 1108351729 32142200141