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31431113541405 = 325977200713297
BaseRepresentation
bin1110010010110001000000…
…10110111000011100011101
311010021210012100022012222100
413021120200112320130131
513104431410031311110
6150503130525035313
76422552202650424
oct711304026703435
9133253170265870
1031431113541405
11a018951206526
1236376883b5b39
13146cc31020646
147a93b9c662bb
153978de6c0bc0
hex1c96205b871d

31431113541405 has 24 divisors (see below), whose sum is σ = 55042252449912. Its totient is φ = 16590443433984.

The previous prime is 31431113541403. The next prime is 31431113541407. The reversal of 31431113541405 is 50414531113413.

It is a happy number.

31431113541405 is a `hidden beast` number, since 31 + 4 + 31 + 1 + 13 + 541 + 40 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (31431113541403) and next prime (31431113541407).

It can be written as a sum of positive squares in 4 ways, for example, as 1437286879161 + 29993826662244 = 1198869^2 + 5476662^2 .

It is not a de Polignac number, because 31431113541405 - 21 = 31431113541403 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 31431113541405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31431113541403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3600352284 + ... + 3600361013.

It is an arithmetic number, because the mean of its divisors is an integer number (2293427185413).

Almost surely, 231431113541405 is an apocalyptic number.

It is an amenable number.

31431113541405 is a deficient number, since it is larger than the sum of its proper divisors (23611138908507).

31431113541405 is a wasteful number, since it uses less digits than its factorization.

31431113541405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7200713405 (or 7200713402 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 31431113541405 its reverse (50414531113413), we get a palindrome (81845644654818).

The spelling of 31431113541405 in words is "thirty-one trillion, four hundred thirty-one billion, one hundred thirteen million, five hundred forty-one thousand, four hundred five".

Divisors: 1 3 5 9 15 45 97 291 485 873 1455 4365 7200713297 21602139891 36003566485 64806419673 108010699455 324032098365 698469189809 2095407569427 3492345949045 6286222708281 10477037847135 31431113541405