Search a number
-
+
1315616634040 = 235113291065627
BaseRepresentation
bin10011001001010000110…
…111001011010010111000
311122202211120210122210111
4103021100313023102320
5133023340324242130
62444215210154104
7164023130606602
oct23112067132270
94582746718714
101315616634040
11467a4a323515
12192b85422934
13970a66143b7
1447967646172
152434ee4102a
hex13250dcb4b8

1315616634040 has 32 divisors (see below), whose sum is σ = 2986333343280. Its totient is φ = 521589601792.

The previous prime is 1315616633999. The next prime is 1315616634047. The reversal of 1315616634040 is 404366165131.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1315616633984 and 1315616634002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1315616634047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145528294 + ... + 145537333.

Almost surely, 21315616634040 is an apocalyptic number.

1315616634040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1315616634040 is an abundant number, since it is smaller than the sum of its proper divisors (1670716709240).

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

1315616634040 is a wasteful number, since it uses less digits than its factorization.

1315616634040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291065751 (or 291065747 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The spelling of 1315616634040 in words is "one trillion, three hundred fifteen billion, six hundred sixteen million, six hundred thirty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 113 226 452 565 904 1130 2260 4520 291065627 582131254 1164262508 1455328135 2328525016 2910656270 5821312540 11642625080 32890415851 65780831702 131561663404 164452079255 263123326808 328904158510 657808317020 1315616634040