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445801428144 = 24323095843251
BaseRepresentation
bin1100111110010111101…
…01011111010010110000
31120121200200000222210100
412133023311133102300
524301000131200034
6540444235432400
744131242421332
oct6371365372260
91517620028710
10445801428144
11162077314256
1272495bb5700
13330675b2407
141781104d452
15b8e2892099
hex67cbd5f4b0

445801428144 has 30 divisors (see below), whose sum is σ = 1247624830556. Its totient is φ = 148600476000.

The previous prime is 445801428119. The next prime is 445801428173. The reversal of 445801428144 is 441824108544.

It is a happy number.

445801428144 is a `hidden beast` number, since 4 + 4 + 5 + 80 + 1 + 428 + 144 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 445801428144.

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 5 ways as a sum of consecutive naturals, for example, 1547921482 + ... + 1547921769.

Almost surely, 2445801428144 is an apocalyptic number.

It is an amenable number.

445801428144 is an abundant number, since it is smaller than the sum of its proper divisors (801823402412).

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

445801428144 is a wasteful number, since it uses less digits than its factorization.

445801428144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3095843265 (or 3095843256 counting only the distinct ones).

The product of its (nonzero) digits is 655360, while the sum is 45.

The spelling of 445801428144 in words is "four hundred forty-five billion, eight hundred one million, four hundred twenty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 3095843251 6191686502 9287529753 12383373004 18575059506 24766746008 27862589259 37150119012 49533492016 55725178518 74300238024 111450357036 148600476048 222900714072 445801428144