Search a number
-
+
114231344400252 = 223211192992834893
BaseRepresentation
bin11001111110010010001110…
…101101001000011101111100
3112222110102001210112200100200
4121332102032231020131330
5104433031243131302002
61042541053303123500
733026641126502052
oct3176221655103574
9488412053480320
10114231344400252
11334412719aa882
121098a972143590
134b97c7b163751
14202cb801681d2
15d316457cbb1c
hex67e48eb4877c

114231344400252 has 36 divisors (see below), whose sum is σ = 288751813732200. Its totient is φ = 38077067349792.

The previous prime is 114231344400209. The next prime is 114231344400301. The reversal of 114231344400252 is 252004443132411.

114231344400252 is a `hidden beast` number, since 1 + 1 + 4 + 23 + 1 + 344 + 40 + 0 + 252 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×1142313444002523 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38877318 + ... + 41712210.

Almost surely, 2114231344400252 is an apocalyptic number.

114231344400252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114231344400252 is an abundant number, since it is smaller than the sum of its proper divisors (174520469331948).

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

114231344400252 is a wasteful number, since it uses less digits than its factorization.

114231344400252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3954202 (or 3954197 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 114231344400252 its reverse (252004443132411), we get a palindrome (366235787532663).

The spelling of 114231344400252 in words is "one hundred fourteen trillion, two hundred thirty-one billion, three hundred forty-four million, four hundred thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 1119299 2238598 2834893 3357897 4477196 5669786 6715794 8504679 10073691 11339572 13431588 17009358 20147382 25514037 34018716 40294764 51028074 102056148 3173092900007 6346185800014 9519278700021 12692371600028 19038557400042 28557836100063 38077114800084 57115672200126 114231344400252