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115351356413441 = 1724143237225157
BaseRepresentation
bin11010001110100101010100…
…100111111001011000000001
3120010102111000100202001100002
4122032211110213321120001
5110104404034220212231
61045155403115405345
733203601100516301
oct3216452447713001
9503374010661302
10115351356413441
1133833265545545
1210b2ba47a53855
134c49780c61635
14206b06d363601
15d508480bd0cb
hex68e9549f9601

115351356413441 has 24 divisors (see below), whose sum is σ = 125528010401976. Its totient is φ = 105915111598080.

The previous prime is 115351356413431. The next prime is 115351356413471. The reversal of 115351356413441 is 144314653153511.

It can be written as a sum of positive squares in 12 ways, for example, as 53629199654416 + 61722156759025 = 7323196^2 + 7856345^2 .

It is a de Polignac number, because none of the positive numbers 2k-115351356413441 is a prime.

It is a super-2 number, since 2×1153513564134412 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (115351356413431) 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, 512202635 + ... + 512427791.

It is an arithmetic number, because the mean of its divisors is an integer number (5230333766749).

Almost surely, 2115351356413441 is an apocalyptic number.

It is an amenable number.

115351356413441 is a deficient number, since it is larger than the sum of its proper divisors (10176653988535).

115351356413441 is a wasteful number, since it uses less digits than its factorization.

115351356413441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268469 (or 268452 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 47.

The spelling of 115351356413441 in words is "one hundred fifteen trillion, three hundred fifty-one billion, three hundred fifty-six million, four hundred thirteen thousand, four hundred forty-one".

Divisors: 1 17 41 289 697 11849 43237 225157 735029 1772717 3827669 9231437 12495493 30136189 65070373 156934429 512315213 2667885293 9735113209 165496924553 399139641569 2813447717401 6785373906673 115351356413441