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423656257440 = 2535132171922337
BaseRepresentation
bin1100010101000111110…
…00010111011110100000
31111111112022222202112210
412022203320113132200
523420122000214230
6522342555522120
742415411525413
oct6124370273640
91444468882483
10423656257440
11153742a04789
126a135759340
1330c48662700
141670dcbdb7a
15b048639eb0
hex62a3e177a0

423656257440 has 1728 divisors, whose sum is σ = 1730594025216. Its totient is φ = 86537797632.

The previous prime is 423656257393. The next prime is 423656257469. The reversal of 423656257440 is 44752656324.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 423656257440.

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 287 ways as a sum of consecutive naturals, for example, 11450169102 + ... + 11450169138.

It is an arithmetic number, because the mean of its divisors is an integer number (1001501172).

Almost surely, 2423656257440 is an apocalyptic number.

423656257440 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 423656257440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865297012608).

423656257440 is an abundant number, since it is smaller than the sum of its proper divisors (1306937767776).

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

423656257440 is a wasteful number, since it uses less digits than its factorization.

423656257440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 48.

The spelling of 423656257440 in words is "four hundred twenty-three billion, six hundred fifty-six million, two hundred fifty-seven thousand, four hundred forty".