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54141315345 = 3251392549257
BaseRepresentation
bin110010011011000100…
…101110100100010001
312011202012102210021200
4302123010232210101
51341340134042340
640512220141413
73624446405265
oct623304564421
9164665383250
1054141315345
1120a633a7617
12a5ab997869
13514aa3c390
14289874c0a5
15161d231330
hexc9b12e911

54141315345 has 24 divisors (see below), whose sum is σ = 101063789736. Its totient is φ = 26654185728.

The previous prime is 54141315337. The next prime is 54141315353. The reversal of 54141315345 is 54351314145.

54141315345 is a `hidden beast` number, since 54 + 1 + 41 + 31 + 534 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (54141315337) and next prime (54141315353).

It can be written as a sum of positive squares in 4 ways, for example, as 2336368896 + 51804946449 = 48336^2 + 227607^2 .

It is not a de Polignac number, because 54141315345 - 23 = 54141315337 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46274044 + ... + 46275213.

It is an arithmetic number, because the mean of its divisors is an integer number (4210991239).

Almost surely, 254141315345 is an apocalyptic number.

It is an amenable number.

54141315345 is a deficient number, since it is larger than the sum of its proper divisors (46922474391).

54141315345 is a wasteful number, since it uses less digits than its factorization.

54141315345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92549281 (or 92549278 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The spelling of 54141315345 in words is "fifty-four billion, one hundred forty-one million, three hundred fifteen thousand, three hundred forty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 92549257 277647771 462746285 832943313 1203140341 1388238855 3609421023 4164716565 6015701705 10828263069 18047105115 54141315345