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494024914944 = 21134112379149
BaseRepresentation
bin1110011000001100010…
…11011111100000000000
31202020011110000221110000
413030012023133200000
531043230334234234
61014541340240000
750456253330321
oct7140613374000
91666143027400
10494024914944
11180573204680
127b8b3b40000
13377812965a2
1419ca785c448
15ccb62bc899
hex73062df800

494024914944 has 960 divisors, whose sum is σ = 1712430720000. Its totient is φ = 140434145280.

The previous prime is 494024914907. The next prime is 494024914969. The reversal of 494024914944 is 449419420494.

494024914944 is a `hidden beast` number, since 4 + 9 + 40 + 24 + 91 + 494 + 4 = 666.

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3315603382 + ... + 3315603530.

It is an arithmetic number, because the mean of its divisors is an integer number (1783782000).

Almost surely, 2494024914944 is an apocalyptic number.

494024914944 is a gapful number since it is divisible by the number (44) 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 494024914944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856215360000).

494024914944 is an abundant number, since it is smaller than the sum of its proper divisors (1218405805056).

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

494024914944 is a wasteful number, since it uses less digits than its factorization.

494024914944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 494024914944 in words is "four hundred ninety-four billion, twenty-four million, nine hundred fourteen thousand, nine hundred forty-four".