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426343680000 = 2113254717311
BaseRepresentation
bin1100011010001000001…
…00000100100000000000
31111202110121211222020200
412031010010010200000
523441122440230000
6523505400405200
742542123325540
oct6150404044000
91452417758220
10426343680000
111548a1990067
126a765776800
1331286364384
14168c6b9b320
15b154538500
hex6344104800

426343680000 has 1440 divisors, whose sum is σ = 1867950564480. Its totient is φ = 91422720000.

The previous prime is 426343679963. The next prime is 426343680001. The reversal of 426343680000 is 86343624.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is not an unprimeable number, because it can be changed into a prime (426343680001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1370879845 + ... + 1370880155.

It is an arithmetic number, because the mean of its divisors is an integer number (1297187892).

Almost surely, 2426343680000 is an apocalyptic number.

426343680000 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 426343680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933975282240).

426343680000 is an abundant number, since it is smaller than the sum of its proper divisors (1441606884480).

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

426343680000 is a wasteful number, since it uses less digits than its factorization.

426343680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 426343680000 in words is "four hundred twenty-six billion, three hundred forty-three million, six hundred eighty thousand".