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54143716312314 = 2331079370667413
BaseRepresentation
bin11000100111110010100001…
…11110100100010011111010
321002201002101200110001221000
430103321100332210103322
524044042312333443224
6311053140242425430
714255516523060306
oct1423712076442372
9232632350401830
1054143716312314
1116285248375292
1260a54b9062276
132429965cc6065
14d527d9960d06
1563d607c260c9
hex313e50fa44fa

54143716312314 has 32 divisors (see below), whose sum is σ = 121443849685440. Its totient is φ = 17879233422096.

The previous prime is 54143716312261. The next prime is 54143716312327. The reversal of 54143716312314 is 41321361734145.

It is a happy number.

54143716312314 is a `hidden beast` number, since 5 + 4 + 1 + 4 + 3 + 7 + 1 + 631 + 2 + 3 + 1 + 4 = 666.

It is a super-3 number, since 3×541437163123143 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 54143716312314.

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, 4685327929 + ... + 4685339484.

It is an arithmetic number, because the mean of its divisors is an integer number (3795120302670).

Almost surely, 254143716312314 is an apocalyptic number.

54143716312314 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

54143716312314 is an abundant number, since it is smaller than the sum of its proper divisors (67300133373126).

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

54143716312314 is a wasteful number, since it uses less digits than its factorization.

54143716312314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9370667531 (or 9370667525 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 54143716312314 in words is "fifty-four trillion, one hundred forty-three billion, seven hundred sixteen million, three hundred twelve thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 107 214 321 642 963 1926 2889 5778 9370667413 18741334826 28112002239 56224004478 84336006717 168672013434 253008020151 506016040302 1002661413191 2005322826382 3007984239573 6015968479146 9023952718719 18047905437438 27071858156157 54143716312314