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31432314441 = 311171923128213
BaseRepresentation
bin11101010001100000…
…110000111001001001
310000010120110000102010
4131101200300321021
51003333133030231
622234555330133
72161631156463
oct352140607111
9100116400363
1031432314441
111236a7a4080
126112750949
132c6c049138
14174276d133
15c3e753546
hex751830e49

31432314441 has 64 divisors (see below), whose sum is σ = 53172910080. Its totient is φ = 16247024640.

The previous prime is 31432314427. The next prime is 31432314443. The reversal of 31432314441 is 14441323413.

It is not a de Polignac number, because 31432314441 - 214 = 31432298057 is a prime.

It is a super-2 number, since 2×314323144412 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31432314399 and 31432314408.

It is not an unprimeable number, because it can be changed into a prime (31432314443) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 181051 + ... + 309263.

It is an arithmetic number, because the mean of its divisors is an integer number (830826720).

Almost surely, 231432314441 is an apocalyptic number.

It is an amenable number.

31432314441 is a deficient number, since it is larger than the sum of its proper divisors (21740595639).

31432314441 is a wasteful number, since it uses less digits than its factorization.

31432314441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128286.

The product of its digits is 13824, while the sum is 30.

Adding to 31432314441 its reverse (14441323413), we get a palindrome (45873637854).

The spelling of 31432314441 in words is "thirty-one billion, four hundred thirty-two million, three hundred fourteen thousand, four hundred forty-one".

Divisors: 1 3 11 17 19 23 33 51 57 69 187 209 253 323 391 437 561 627 759 969 1173 1311 3553 4301 4807 7429 10659 12903 14421 22287 81719 128213 245157 384639 1410343 2179621 2436047 2948899 4231029 6538863 7308141 8846697 23975831 26796517 32437889 41412799 50131283 56029081 71927493 80389551 97313667 124238397 150393849 168087243 455540789 551444113 616319891 952494377 1366622367 1654332339 1848959673 2857483131 10477438147 31432314441