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444080004480 = 27325711013889
BaseRepresentation
bin1100111011001010011…
…10110001110110000000
31120110020200212121110100
412131211032301312000
524233433440120410
6540001343402400
744040500520420
oct6354516616600
91513220777410
10444080004480
11161373649172
12720955b3400
1332b51a74728
14176ca58c480
15b8416aa8c0
hex67653b1d80

444080004480 has 192 divisors, whose sum is σ = 1752530176800. Its totient is φ = 101503991808.

The previous prime is 444080004439. The next prime is 444080004491. The reversal of 444080004480 is 84400080444.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5466625 + ... + 5547264.

Almost surely, 2444080004480 is an apocalyptic number.

444080004480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444080004480 is an abundant number, since it is smaller than the sum of its proper divisors (1308450172320).

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

444080004480 is a wasteful number, since it uses less digits than its factorization.

444080004480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11013921 (or 11013906 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The spelling of 444080004480 in words is "four hundred forty-four billion, eighty million, four thousand, four hundred eighty".