Search a number
-
+
239940813649599 = 3423294441127837
BaseRepresentation
bin110110100011100110010010…
…111101101111011010111111
31011110120010011211222221120000
4312203212102331233122333
5222422142241243241344
62210151142120525343
7101353103016610026
oct6643462275573277
91143503154887500
10239940813649599
116a4a8367074347
1222ab2179020853
13a3b642484b11a
1443372a97298bd
151cb1627bc9a69
hexda3992f6f6bf

239940813649599 has 40 divisors (see below), whose sum is σ = 386911057246560. Its totient is φ = 147729676336704.

The previous prime is 239940813649597. The next prime is 239940813649619. The reversal of 239940813649599 is 995946318049932.

239940813649599 is a `hidden beast` number, since 2 + 3 + 9 + 9 + 4 + 0 + 8 + 1 + 36 + 495 + 99 = 666.

It is not a de Polignac number, because 239940813649599 - 21 = 239940813649597 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (239940813649597) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2220509892 + ... + 2220617945.

It is an arithmetic number, because the mean of its divisors is an integer number (9672776431164).

Almost surely, 2239940813649599 is an apocalyptic number.

239940813649599 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

239940813649599 is a deficient number, since it is larger than the sum of its proper divisors (146970243596961).

239940813649599 is a wasteful number, since it uses less digits than its factorization.

239940813649599 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4441127901 (or 4441127892 counting only the distinct ones).

The product of its (nonzero) digits is 4081466880, while the sum is 81.

The spelling of 239940813649599 in words is "two hundred thirty-nine trillion, nine hundred forty billion, eight hundred thirteen million, six hundred forty-nine thousand, five hundred ninety-nine".

Divisors: 1 3 9 23 27 29 69 81 87 207 261 621 667 783 1863 2001 2349 6003 18009 54027 4441127837 13323383511 39970150533 102145940251 119910451599 128792707273 306437820753 359731354797 386378121819 919313462259 1159134365457 2757940386777 2962232267279 3477403096371 8273821160331 8886696801837 10432209289113 26660090405511 79980271216533 239940813649599