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114474225661752 = 233114003108322381
BaseRepresentation
bin11010000001110100011011…
…100011100111011100111000
3120000022121222121111011002110
4122001310123203213130320
5110001021203232134002
61043244422215332320
733053330012244135
oct3201643343473470
9500277877434073
10114474225661752
113352527905a470
1210a09a566810a0
134bb4b47444a28
14203a82135158c
15d37b0d674e6c
hex681d1b8e7738

114474225661752 has 64 divisors (see below), whose sum is σ = 312280428620160. Its totient is φ = 34680493180800.

The previous prime is 114474225661727. The next prime is 114474225661759. The reversal of 114474225661752 is 257166522474411.

114474225661752 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 114474225661692 and 114474225661701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114474225661759) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53104399 + ... + 55217982.

It is an arithmetic number, because the mean of its divisors is an integer number (4879381697190).

Almost surely, 2114474225661752 is an apocalyptic number.

114474225661752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114474225661752 is an abundant number, since it is smaller than the sum of its proper divisors (197806202958408).

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

114474225661752 is a wasteful number, since it uses less digits than its factorization.

114474225661752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108326404 (or 108326400 counting only the distinct ones).

The product of its digits is 22579200, while the sum is 57.

The spelling of 114474225661752 in words is "one hundred fourteen trillion, four hundred seventy-four billion, two hundred twenty-five million, six hundred sixty-one thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 4003 8006 12009 16012 24018 32024 44033 48036 88066 96072 132099 176132 264198 352264 528396 1056792 108322381 216644762 324967143 433289524 649934286 866579048 1191546191 1299868572 2383092382 2599737144 3574638573 4766184764 7149277146 9532369528 14298554292 28597108584 433614491143 867228982286 1300843473429 1734457964572 2601686946858 3468915929144 4769759402573 5203373893716 9539518805146 10406747787432 14309278207719 19079037610292 28618556415438 38158075220584 57237112830876 114474225661752