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442440400220232 = 23376259241742177
BaseRepresentation
bin110010010011001011010111…
…0111000111011000001001000
32011000112220000012202011212020
41210212112232320323001020
5430442420414424021412
64204554151445244440
7162123156366425661
oct14446265670730110
92130486005664766
10442440400220232
11118a7aa13588307
1241757ab6a03720
1315cb4c4895806b
147b38330164368
153623d5441218c
hex19265aee3b048

442440400220232 has 32 divisors (see below), whose sum is σ = 1106115509656800. Its totient is φ = 147478198859264.

The previous prime is 442440400220201. The next prime is 442440400220267. The reversal of 442440400220232 is 232022004044244.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 442440400220193 and 442440400220202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119040873 + ... + 122701304.

It is an arithmetic number, because the mean of its divisors is an integer number (34566109676775).

Almost surely, 2442440400220232 is an apocalyptic number.

It is an amenable number.

442440400220232 is an abundant number, since it is smaller than the sum of its proper divisors (663675109436568).

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

442440400220232 is a wasteful number, since it uses less digits than its factorization.

442440400220232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241818445 (or 241818441 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 33.

Adding to 442440400220232 its reverse (232022004044244), we get a palindrome (674462404264476).

The spelling of 442440400220232 in words is "four hundred forty-two trillion, four hundred forty billion, four hundred million, two hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 76259 152518 228777 305036 457554 610072 915108 1830216 241742177 483484354 725226531 966968708 1450453062 1933937416 2900906124 5801812248 18435016675843 36870033351686 55305050027529 73740066703372 110610100055058 147480133406744 221220200110116 442440400220232