Search a number
-
+
342640041444 = 223222342680623
BaseRepresentation
bin1001111110001101111…
…00000001110111100100
31012202102011200120021100
410333012330001313210
521103211322311234
6421223501120100
733516640204101
oct4770674016744
91182364616240
10342640041444
11122349409578
12564a5559030
1326406b3376c
14128261b5aa8
158da5d35399
hex4fc6f01de4

342640041444 has 36 divisors (see below), whose sum is σ = 870001839616. Its totient is φ = 113701177008.

The previous prime is 342640041439. The next prime is 342640041463. The reversal of 342640041444 is 444140046243.

342640041444 is a `hidden beast` number, since 3 + 4 + 2 + 640 + 0 + 4 + 1 + 4 + 4 + 4 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 342640041399 and 342640041408.

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, 21332284 + ... + 21348339.

Almost surely, 2342640041444 is an apocalyptic number.

It is an amenable number.

342640041444 is an abundant number, since it is smaller than the sum of its proper divisors (527361798172).

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

342640041444 is a wasteful number, since it uses less digits than its factorization.

342640041444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42680856 (or 42680851 counting only the distinct ones).

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

Adding to 342640041444 its reverse (444140046243), we get a palindrome (786780087687).

The spelling of 342640041444 in words is "three hundred forty-two billion, six hundred forty million, forty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 223 446 669 892 1338 2007 2676 4014 8028 42680623 85361246 128041869 170722492 256083738 384125607 512167476 768251214 1536502428 9517778929 19035557858 28553336787 38071115716 57106673574 85660010361 114213347148 171320020722 342640041444