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42444420084 = 223211107182879
BaseRepresentation
bin100111100001111000…
…100111001111110100
311001120000122221110200
4213201320213033310
51143411232420314
631255415120500
73031545421653
oct474170471764
9131500587420
1042444420084
1117000850030
128286673130
134005621891
1420a90b119a
1511863d4709
hex9e1e273f4

42444420084 has 36 divisors (see below), whose sum is σ = 117043704960. Its totient is φ = 12861945360.

The previous prime is 42444420059. The next prime is 42444420101. The reversal of 42444420084 is 48002444424.

42444420084 is a `hidden beast` number, since 4 + 2 + 4 + 444 + 200 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53591044 + ... + 53591835.

Almost surely, 242444420084 is an apocalyptic number.

42444420084 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42444420084 is an abundant number, since it is smaller than the sum of its proper divisors (74599284876).

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

42444420084 is a wasteful number, since it uses less digits than its factorization.

42444420084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107182900 (or 107182895 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

The spelling of 42444420084 in words is "forty-two billion, four hundred forty-four million, four hundred twenty thousand, eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 107182879 214365758 321548637 428731516 643097274 964645911 1179011669 1286194548 1929291822 2358023338 3537035007 3858583644 4716046676 7074070014 10611105021 14148140028 21222210042 42444420084