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32354202141 = 338531404811
BaseRepresentation
bin11110001000011101…
…011111001000011101
310002111211010202121000
4132020131133020131
51012230133432031
622510250500513
72223524115642
oct361035371035
9102454122530
1032354202141
11127a3115a38
12632b434739
133088037211
1417ccd85dc9
15c956553e6
hex78875f21d

32354202141 has 16 divisors (see below), whose sum is σ = 47988377920. Its totient is φ = 21544166160.

The previous prime is 32354202091. The next prime is 32354202151. The reversal of 32354202141 is 14120245323.

32354202141 is a `hidden beast` number, since 3 + 23 + 5 + 420 + 214 + 1 = 666.

It is not a de Polignac number, because 32354202141 - 211 = 32354200093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32354202151) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 679375 + ... + 725436.

It is an arithmetic number, because the mean of its divisors is an integer number (2999273620).

Almost surely, 232354202141 is an apocalyptic number.

It is an amenable number.

32354202141 is a deficient number, since it is larger than the sum of its proper divisors (15634175779).

32354202141 is a wasteful number, since it uses less digits than its factorization.

32354202141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405673 (or 1405667 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 32354202141 its reverse (14120245323), we get a palindrome (46474447464).

The spelling of 32354202141 in words is "thirty-two billion, three hundred fifty-four million, two hundred two thousand, one hundred forty-one".

Divisors: 1 3 9 27 853 2559 7677 23031 1404811 4214433 12643299 37929897 1198303783 3594911349 10784734047 32354202141