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424090093284 = 2234114132232
BaseRepresentation
bin1100010101111011011…
…11010100011011100100
31111112122120022220110000
412022331233110123210
523422014030441114
6522454014301300
742432230213064
oct6127557243344
91445576286400
10424090093284
11153945890000
126a236ab7830
1330cb74bcc00
14167517713a4
15b071783e09
hex62bdbd46e4

424090093284 has 675 divisors, whose sum is σ = 1380448981065. Its totient is φ = 113468921280.

The previous prime is 424090093253. The next prime is 424090093303. The reversal of 424090093284 is 482390090424.

It is a happy number.

The square root of 424090093284 is 651222.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 62735220900 + 361354872384 = 250470^2 + 601128^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 18438699697 + ... + 18438699719.

Almost surely, 2424090093284 is an apocalyptic number.

424090093284 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

424090093284 is the 651222-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424090093284

424090093284 is an abundant number, since it is smaller than the sum of its proper divisors (956358887781).

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

424090093284 is a wasteful number, since it uses less digits than its factorization.

424090093284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 424090093284 in words is "four hundred twenty-four billion, ninety million, ninety-three thousand, two hundred eighty-four".