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114024522221025 = 352131971986729881
BaseRepresentation
bin11001111011010001100111…
…001001001000010111100001
3112221201122020000010101022120
4121323101213021020113201
5104421134210142033100
61042302050430054453
733005666646126513
oct3173214711102741
9487648200111276
10114024522221025
113337158a1a9429
121095687194a429
134b8160a62b640
142022b5ddb7bb3
15d2b08d4660a0
hex67b4672485e1

114024522221025 has 96 divisors (see below), whose sum is σ = 204069792947328. Its totient is φ = 55845519206400.

The previous prime is 114024522221011. The next prime is 114024522221033. The reversal of 114024522221025 is 520122225420411.

It is a happy number.

It is not a de Polignac number, because 114024522221025 - 211 = 114024522218977 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3815939085 + ... + 3815968965.

It is an arithmetic number, because the mean of its divisors is an integer number (2125727009868).

Almost surely, 2114024522221025 is an apocalyptic number.

114024522221025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114024522221025 is a deficient number, since it is larger than the sum of its proper divisors (90045270726303).

114024522221025 is a wasteful number, since it uses less digits than its factorization.

114024522221025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49971 (or 49966 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 33.

Adding to 114024522221025 its reverse (520122225420411), we get a palindrome (634146747641436).

The spelling of 114024522221025 in words is "one hundred fourteen trillion, twenty-four billion, five hundred twenty-two million, two hundred twenty-one thousand, twenty-five".

Divisors: 1 3 5 13 15 25 39 65 75 195 197 325 591 975 985 2561 2955 4925 7683 12805 14775 19867 29881 38415 59601 64025 89643 99335 149405 192075 258271 298005 388453 448215 496675 747025 774813 1165359 1291355 1490025 1942265 2241075 3874065 3913799 5826795 5886557 6456775 9711325 11741397 17659671 19370325 19568995 29133975 29432785 50879387 58706985 76525241 88298355 97844975 147163925 152638161 229575723 254396935 293534925 382626205 441491775 593645827 763190805 1147878615 1271984675 1780937481 1913131025 2968229135 3815954025 5739393075 7717395751 8904687405 14841145675 23152187253 38586978755 44523437025 115760936265 116948227919 192934893775 350844683757 578804681325 584741139595 1520326962947 1754223418785 2923705697975 4560980888841 7601634814735 8771117093925 22804904444205 38008174073675 114024522221025