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442402112430 = 23257367336699
BaseRepresentation
bin1100111000000010011…
…10001000001110101110
31120021220202121212021100
412130001032020032232
524222014420044210
6535123044343530
743651064624025
oct6340116101656
91507822555240
10442402112430
11160692506023
12718a76a4ba6
1332945268bb5
14175ab7bd8bc
15b7942225c0
hex67013883ae

442402112430 has 48 divisors (see below), whose sum is σ = 1166002297200. Its totient is φ = 116357814144.

The previous prime is 442402112393. The next prime is 442402112437. The reversal of 442402112430 is 34211204244.

442402112430 is a `hidden beast` number, since 4 + 4 + 2 + 402 + 11 + 243 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 442402112394 and 442402112403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442402112437) by changing a digit.

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, 33661780 + ... + 33674919.

It is an arithmetic number, because the mean of its divisors is an integer number (24291714525).

Almost surely, 2442402112430 is an apocalyptic number.

442402112430 is an abundant number, since it is smaller than the sum of its proper divisors (723600184770).

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

442402112430 is a wasteful number, since it uses less digits than its factorization.

442402112430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67336785 (or 67336782 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 442402112430 its reverse (34211204244), we get a palindrome (476613316674).

The spelling of 442402112430 in words is "four hundred forty-two billion, four hundred two million, one hundred twelve thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 73 90 146 219 365 438 657 730 1095 1314 2190 3285 6570 67336699 134673398 202010097 336683495 404020194 606030291 673366990 1010050485 1212060582 2020100970 3030151455 4915579027 6060302910 9831158054 14746737081 24577895135 29493474162 44240211243 49155790270 73733685405 88480422486 147467370810 221201056215 442402112430