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8940022980480 = 273453110751991
BaseRepresentation
bin1000001000011000001011…
…1001001101111110000000
31011122122202120110112220000
42002012002321031332000
52132433131340333410
631002553450520000
71611616050342114
oct202060271157600
934578676415800
108940022980480
1129374959a76a9
121004777736000
134cb06b11a727
1422c9b12d5744
1510783ceb7dc0
hex82182e4df80

8940022980480 has 640 divisors, whose sum is σ = 33264964085760. Its totient is φ = 2285497036800.

The previous prime is 8940022980463. The next prime is 8940022980503. The reversal of 8940022980480 is 840892200498.

8940022980480 is a `hidden beast` number, since 8 + 9 + 400 + 229 + 8 + 0 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×89400229804802 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 171927285 + ... + 171979275.

It is an arithmetic number, because the mean of its divisors is an integer number (51976506384).

Almost surely, 28940022980480 is an apocalyptic number.

8940022980480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8940022980480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16632482042880).

8940022980480 is an abundant number, since it is smaller than the sum of its proper divisors (24324941105280).

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

8940022980480 is a wasteful number, since it uses less digits than its factorization.

8940022980480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52160 (or 52139 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 8940022980480 in words is "eight trillion, nine hundred forty billion, twenty-two million, nine hundred eighty thousand, four hundred eighty".