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424388412144 = 24322947141751
BaseRepresentation
bin1100010110011111000…
…01010100001011110000
31111120102100200001222200
412023033201110023300
523423121413142034
6522543352303200
742442511661264
oct6131741241360
91446370601880
10424388412144
11153a89216414
126a2ba9a1b00
133103424c748
141677d2280a4
15b08ca5ea99
hex62cf8542f0

424388412144 has 30 divisors (see below), whose sum is σ = 1187698126056. Its totient is φ = 141462804000.

The previous prime is 424388412127. The next prime is 424388412181. The reversal of 424388412144 is 441214883424.

424388412144 is a `hidden beast` number, since 424 + 3 + 8 + 8 + 4 + 1 + 214 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 424388412144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1473570732 + ... + 1473571019.

Almost surely, 2424388412144 is an apocalyptic number.

It is an amenable number.

424388412144 is an abundant number, since it is smaller than the sum of its proper divisors (763309713912).

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

424388412144 is a wasteful number, since it uses less digits than its factorization.

424388412144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2947141765 (or 2947141756 counting only the distinct ones).

The product of its digits is 786432, while the sum is 45.

The spelling of 424388412144 in words is "four hundred twenty-four billion, three hundred eighty-eight million, four hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2947141751 5894283502 8841425253 11788567004 17682850506 23577134008 26524275759 35365701012 47154268016 53048551518 70731402024 106097103036 141462804048 212194206072 424388412144