Search a number
-
+
31314410305540 = 22517132137697013
BaseRepresentation
bin1110001111010111101000…
…10011010111100000000100
311002212121222002120120200021
413013223310103113200010
513101023403014234130
6150333350321424524
76411251164552315
oct707536423274004
9132777862516607
1031314410305540
119a8340428606a
123618b3879b144
131461c22b547ab
147a38a86d660c
1539485dd7e37a
hex1c7af44d7804

31314410305540 has 48 divisors (see below), whose sum is σ = 69629139164592. Its totient is φ = 11788848336896.

The previous prime is 31314410305501. The next prime is 31314410305561. The reversal of 31314410305540 is 4550301441313.

It can be written as a sum of positive squares in 8 ways, for example, as 53876908996 + 31260533396544 = 232114^2 + 5591112^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 31314410305496 and 31314410305505.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44578074 + ... + 45275086.

It is an arithmetic number, because the mean of its divisors is an integer number (1450607065929).

Almost surely, 231314410305540 is an apocalyptic number.

It is an amenable number.

31314410305540 is an abundant number, since it is smaller than the sum of its proper divisors (38314728859052).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31314410305540 is a wasteful number, since it uses less digits than its factorization.

31314410305540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829176 (or 829174 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

Adding to 31314410305540 its reverse (4550301441313), we get a palindrome (35864711746853).

The spelling of 31314410305540 in words is "thirty-one trillion, three hundred fourteen billion, four hundred ten million, three hundred five thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 132137 264274 528548 660685 697013 1321370 1394026 2246329 2642740 2788052 3485065 4492658 6970130 8985316 11231645 11849221 13940260 22463290 23698442 44926580 47396884 59246105 118492210 236984420 92101206781 184202413562 368404827124 460506033905 921012067810 1565720515277 1842024135620 3131441030554 6262882061108 7828602576385 15657205152770 31314410305540