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242604406242 = 232111772074987
BaseRepresentation
bin1110000111110001011…
…0010111010111100010
3212012012111222202201100
43201330112113113202
512433323211444432
6303241222215230
723345651266632
oct3417426272742
9765174882640
10242604406242
11939849541a0
123b027884516
1319b53b28103
14ba5651a6c2
15649d90c07c
hex387c5975e2

242604406242 has 48 divisors (see below), whose sum is σ = 607159698912. Its totient is φ = 69191986560.

The previous prime is 242604406217. The next prime is 242604406279.

242604406242 is a `hidden beast` number, since 2 + 4 + 2 + 6 + 0 + 4 + 406 + 242 = 666.

242604406242 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 242604406197 and 242604406206.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36034128 + ... + 36040859.

It is an arithmetic number, because the mean of its divisors is an integer number (12649160394).

Almost surely, 2242604406242 is an apocalyptic number.

242604406242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

242604406242 is an abundant number, since it is smaller than the sum of its proper divisors (364555292670).

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

242604406242 is a wasteful number, since it uses less digits than its factorization.

242604406242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72075023 (or 72075020 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

It can be divided in two parts, 242604 and 406242, that added together give a palindrome (648846).

The spelling of 242604406242 in words is "two hundred forty-two billion, six hundred four million, four hundred six thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 306 374 561 1122 1683 3366 72074987 144149974 216224961 432449922 648674883 792824857 1225274779 1297349766 1585649714 2378474571 2450549558 3675824337 4756949142 7135423713 7351648674 11027473011 13478022569 14270847426 22054946022 26956045138 40434067707 80868135414 121302203121 242604406242