Search a number
-
+
2315415641 = 711290910337
BaseRepresentation
bin1000101000000010…
…0111000001011001
312222100212022010212
42022000213001121
514220221300031
61021431220505
7111243464630
oct21200470131
95870768125
102315415641
11a88aa0050
12547517735
132ab911a36
1417d722517
15d841912b
hex8a027059

2315415641 has 16 divisors (see below), whose sum is σ = 2888023680. Its totient is φ = 1803425280.

The previous prime is 2315415581. The next prime is 2315415653. The reversal of 2315415641 is 1465145132.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2315415641 is a prime.

It is a super-2 number, since 2×23154156412 = 10722299181174881762, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2315415598 and 2315415607.

It is not an unprimeable number, because it can be changed into a prime (2315415671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218825 + ... + 229161.

It is an arithmetic number, because the mean of its divisors is an integer number (180501480).

Almost surely, 22315415641 is an apocalyptic number.

It is an amenable number.

2315415641 is a deficient number, since it is larger than the sum of its proper divisors (572608039).

2315415641 is a wasteful number, since it uses less digits than its factorization.

2315415641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13264.

The product of its digits is 14400, while the sum is 32.

The square root of 2315415641 is about 48118.7659962306. The cubic root of 2315415641 is about 1322.9486503270.

The spelling of 2315415641 in words is "two billion, three hundred fifteen million, four hundred fifteen thousand, six hundred forty-one".

Divisors: 1 7 11 77 2909 10337 20363 31999 72359 113707 223993 795949 30070333 210492331 330773663 2315415641