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32141303225 = 5241731014253
BaseRepresentation
bin11101111011110001…
…010101110110111001
310001221222112101011222
4131323301111312321
51011311133200400
622433203401425
72215330366253
oct357361256671
9101858471158
1032141303225
11126a3a22919
126290083275
133052bb4a25
1417ac9a6cd3
15c81aee185
hex77bc55db9

32141303225 has 48 divisors (see below), whose sum is σ = 41806167984. Its totient is φ = 24491520000.

The previous prime is 32141303197. The next prime is 32141303269. The reversal of 32141303225 is 52230314123.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 25829954089 + 6311349136 = 160717^2 + 79444^2 .

It is not a de Polignac number, because 32141303225 - 212 = 32141299129 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 32141303194 and 32141303203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7555199 + ... + 7559451.

It is an arithmetic number, because the mean of its divisors is an integer number (870961833).

Almost surely, 232141303225 is an apocalyptic number.

It is an amenable number.

32141303225 is a deficient number, since it is larger than the sum of its proper divisors (9664864759).

32141303225 is a wasteful number, since it uses less digits than its factorization.

32141303225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4478 (or 4473 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 32141303225 its reverse (52230314123), we get a palindrome (84371617348).

The spelling of 32141303225 in words is "thirty-two billion, one hundred forty-one million, three hundred three thousand, two hundred twenty-five".

Divisors: 1 5 25 41 73 101 205 365 505 1025 1825 2525 2993 4141 4253 7373 14965 20705 21265 36865 74825 103525 106325 174373 184325 302293 310469 429553 871865 1511465 1552345 2147765 4359325 7557325 7761725 10738825 12729229 17611673 31357369 63646145 88058365 156786845 318230725 440291825 783934225 1285652129 6428260645 32141303225