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425730090240 = 28355713389
BaseRepresentation
bin1100011000111110111…
…11011010010100000000
31111200212212021101100000
412030133133122110000
523433343400341430
6523324441200000
742520663026240
oct6143737322400
91450785241300
10425730090240
1115460759aa94
126a614190000
13311b91bb000
14168694b7b20
15b11a733e60
hex631f7da500

425730090240 has 1728 divisors, whose sum is σ = 1912418726400. Its totient is φ = 88815108096.

The previous prime is 425730090223. The next prime is 425730090271. The reversal of 425730090240 is 42090037524.

425730090240 is a `hidden beast` number, since 4 + 25 + 7 + 300 + 90 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×4257300902402 (a number of 24 digits) contains 22 as substring.

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 = 425730090195 and 425730090204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4783484116 + ... + 4783484204.

It is an arithmetic number, because the mean of its divisors is an integer number (1106723800).

Almost surely, 2425730090240 is an apocalyptic number.

425730090240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 425730090240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956209363200).

425730090240 is an abundant number, since it is smaller than the sum of its proper divisors (1486688636160).

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

425730090240 is an frugal number, since it uses more digits than its factorization.

425730090240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 425730090240 in words is "four hundred twenty-five billion, seven hundred thirty million, ninety thousand, two hundred forty".