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114034250124 = 22328385344741
BaseRepresentation
bin110101000110011111…
…0001001000110001100
3101220100020120010011100
41222030332021012030
53332020232000444
6124215301423100
711144606063424
oct1521476110614
9356306503140
10114034250124
11443a83a7a23
121a125a0aa90
13a9a4250c62
14573acd1484
152e76385e69
hex1a8cf8918c

114034250124 has 72 divisors (see below), whose sum is σ = 292074702192. Its totient is φ = 37508584320.

The previous prime is 114034250117. The next prime is 114034250153. The reversal of 114034250124 is 421052430411.

114034250124 is a `hidden beast` number, since 1 + 1 + 403 + 4 + 250 + 1 + 2 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2526394 + ... + 2571134.

It is an arithmetic number, because the mean of its divisors is an integer number (4056593086).

Almost surely, 2114034250124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114034250124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146037351096).

114034250124 is an abundant number, since it is smaller than the sum of its proper divisors (178040452068).

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

114034250124 is a wasteful number, since it uses less digits than its factorization.

114034250124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45687 (or 45682 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 114034250124 its reverse (421052430411), we get a palindrome (535086680535).

The spelling of 114034250124 in words is "one hundred fourteen billion, thirty-four million, two hundred fifty thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 83 166 249 332 498 747 853 996 1494 1706 2559 2988 3412 5118 7677 10236 15354 30708 44741 70799 89482 134223 141598 178964 212397 268446 283196 402669 424794 536892 637191 805338 849588 1274382 1610676 2548764 3713503 7427006 11140509 14854012 22281018 33421527 38164073 44562036 66843054 76328146 114492219 133686108 152656292 228984438 343476657 457968876 686953314 1373906628 3167618059 6335236118 9502854177 12670472236 19005708354 28508562531 38011416708 57017125062 114034250124