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424421949120 = 263513222311731
BaseRepresentation
bin1100010110100011000…
…01001111111011000000
31111120111200202221001220
412023101201033323000
523423204004332440
6522550551155040
742443400020601
oct6132141177300
91446450687056
10424421949120
11153aa6142224
126a30a075a80
133103b192600
1416783877da8
15b0909868d0
hex62d184fec0

424421949120 has 336 divisors, whose sum is σ = 1465838502912. Its totient is φ = 103995740160.

The previous prime is 424421949109. The next prime is 424421949143. The reversal of 424421949120 is 21949124424.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36173655 + ... + 36185385.

It is an arithmetic number, because the mean of its divisors is an integer number (4362614592).

Almost surely, 2424421949120 is an apocalyptic number.

424421949120 is a gapful number since it is divisible by the number (40) 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 424421949120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732919251456).

424421949120 is an abundant number, since it is smaller than the sum of its proper divisors (1041416553792).

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

424421949120 is a wasteful number, since it uses less digits than its factorization.

424421949120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12000 (or 11977 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 424421949120 in words is "four hundred twenty-four billion, four hundred twenty-one million, nine hundred forty-nine thousand, one hundred twenty".