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114254025034131 = 32677127728195209
BaseRepresentation
bin11001111110100111010110…
…100100111000100110010011
3112222112120121110011020222200
4121332213112210320212103
5104433414220402043011
61042555324031534243
733031403151633063
oct3176472644704623
9488476543136880
10114254025034131
113344a9505987a4
121099324198a383
134b9a154004078
14202dcd24813a3
15d32021a54856
hex67e9d6938993

114254025034131 has 48 divisors (see below), whose sum is σ = 165497230922400. Its totient is φ = 75955737521664.

The previous prime is 114254025034117. The next prime is 114254025034157. The reversal of 114254025034131 is 131430520452411.

114254025034131 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 540 + 2 + 50 + 34 + 1 + 31 = 666.

It is not a de Polignac number, because 114254025034131 - 25 = 114254025034099 is a prime.

It is a super-2 number, since 2×1142540250341312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114254025034231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21933962655 + ... + 21933967863.

It is an arithmetic number, because the mean of its divisors is an integer number (3447858977550).

Almost surely, 2114254025034131 is an apocalyptic number.

114254025034131 is a deficient number, since it is larger than the sum of its proper divisors (51243205888269).

114254025034131 is a wasteful number, since it uses less digits than its factorization.

114254025034131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9988 (or 9985 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 114254025034131 its reverse (131430520452411), we get a palindrome (245684545486542).

The spelling of 114254025034131 in words is "one hundred fourteen trillion, two hundred fifty-four billion, twenty-five million, thirty-four thousand, one hundred thirty-one".

Divisors: 1 3 9 677 1277 2031 2819 3831 5209 6093 8457 11493 15627 25371 46881 864529 1908463 2593587 3526493 3599863 5725389 6651893 7780761 10579479 10799589 14684171 17176167 19955679 31738437 32398767 44052513 59867037 132157539 2437107251 4503331561 7311321753 9941183767 13509994683 18751686367 21933965259 29823551301 40529984049 56255059101 89470653903 168765177303 12694891670459 38084675011377 114254025034131