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242331334344 = 233211934332749
BaseRepresentation
bin1110000110110000010…
…0101011011011001000
3212011111111011021111100
43201230010223123020
512432243310144334
6303154145301400
723336124232641
oct3415404533310
9764444137440
10242331334344
11938547a2240
123ab70334860
1319b0c397cc8
14ba2c1566c8
15648496bc99
hex386c12b6c8

242331334344 has 96 divisors (see below), whose sum is σ = 716077440000. Its totient is φ = 73423635840.

The previous prime is 242331334319. The next prime is 242331334387. The reversal of 242331334344 is 443433133242.

242331334344 is a `hidden beast` number, since 242 + 3 + 31 + 3 + 343 + 44 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 242331334299 and 242331334308.

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, 7383282 + ... + 7416030.

It is an arithmetic number, because the mean of its divisors is an integer number (7459140000).

Almost surely, 2242331334344 is an apocalyptic number.

242331334344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242331334344 is an abundant number, since it is smaller than the sum of its proper divisors (473746105656).

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

242331334344 is a wasteful number, since it uses less digits than its factorization.

242331334344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42115 (or 42108 counting only the distinct ones).

The product of its digits is 248832, while the sum is 36.

Adding to 242331334344 its reverse (443433133242), we get a palindrome (685764467586).

It can be divided in two parts, 242331 and 334344, that added together give a palindrome (576675).

The spelling of 242331334344 in words is "two hundred forty-two billion, three hundred thirty-one million, three hundred thirty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 9343 18686 28029 32749 37372 56058 65498 74744 84087 98247 102773 112116 130996 168174 196494 205546 224232 261992 294741 308319 336348 360239 392988 411092 589482 616638 672696 720478 785976 822184 924957 1080717 1178964 1233276 1440956 1849914 2161434 2357928 2466552 2881912 3242151 3699828 4322868 6484302 7399656 8645736 12968604 25937208 305973907 611947814 917921721 1223895628 1835843442 2447791256 2753765163 3365712977 3671686884 5507530326 6731425954 7343373768 10097138931 11015060652 13462851908 20194277862 22030121304 26925703816 30291416793 40388555724 60582833586 80777111448 121165667172 242331334344