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424444253042340 = 2232531436012943361
BaseRepresentation
bin110000010000001111010000…
…0111011011111011010100100
32001122211110210202220011111200
41200200132200323133122210
5421113043312234323330
64102414555323402500
7155255041160351466
oct14040364073373244
92048743722804450
10424444253042340
11113271884670363
123b730181683430
13152aabc91a88ab
1476b52d6358136
153410b8090aa60
hex18207a0edf6a4

424444253042340 has 288 divisors, whose sum is σ = 1362183035845632. Its totient is φ = 106808647680000.

The previous prime is 424444253042281. The next prime is 424444253042387. The reversal of 424444253042340 is 43240352444424.

It is a happy number.

424444253042340 is a `hidden beast` number, since 4 + 2 + 4 + 4 + 4 + 42 + 530 + 42 + 34 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 142732260 + ... + 145675620.

Almost surely, 2424444253042340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424444253042340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681091517922816).

424444253042340 is an abundant number, since it is smaller than the sum of its proper divisors (937738782803292).

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

424444253042340 is a wasteful number, since it uses less digits than its factorization.

424444253042340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2944051 (or 2944046 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 45.

The spelling of 424444253042340 in words is "four hundred twenty-four trillion, four hundred forty-four billion, two hundred fifty-three million, forty-two thousand, three hundred forty".