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32144002441 = 173535419901
BaseRepresentation
bin11101111011111011…
…101000110110001001
310001222011121111210221
4131323323220312021
51011312331034231
622433341310041
72215362340555
oct357373506611
9101864544727
1032144002441
11126a54a6881
126290b65321
13305361b4b5
1417ad0aa865
15c81e83d11
hex77bee8d89

32144002441 has 16 divisors (see below), whose sum is σ = 34197784848. Its totient is φ = 30108672000.

The previous prime is 32144002427. The next prime is 32144002523. The reversal of 32144002441 is 14420044123.

It can be written as a sum of positive squares in 8 ways, for example, as 3592803600 + 28551198841 = 59940^2 + 168971^2 .

It is a 5-Lehmer number, since φ(32144002441) divides (32144002441-1)5.

It is a cyclic number.

It is not a de Polignac number, because 32144002441 - 215 = 32143969673 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32144002141) 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, 3241591 + ... + 3251491.

It is an arithmetic number, because the mean of its divisors is an integer number (2137361553).

Almost surely, 232144002441 is an apocalyptic number.

It is an amenable number.

32144002441 is a deficient number, since it is larger than the sum of its proper divisors (2053782407).

32144002441 is a wasteful number, since it uses less digits than its factorization.

32144002441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10812.

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 32144002441 its reverse (14420044123), we get a palindrome (46564046564).

The spelling of 32144002441 in words is "thirty-two billion, one hundred forty-four million, two thousand, four hundred forty-one".

Divisors: 1 17 353 541 6001 9197 9901 168317 190973 3246541 3495053 5356441 59415901 91059497 1890823673 32144002441