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494030130048 = 273472131931127
BaseRepresentation
bin1110011000001100111…
…11011000101110000000
31202020011210211220020000
413030012133120232000
531043233203130143
61014542044120000
750456345550600
oct7140637305600
91666153756200
10494030130048
11180576146884
127b8b5836000
13377823a1250
1419ca8418c00
15ccb699cbd3
hex73067d8b80

494030130048 has 1920 divisors, whose sum is σ = 2017057996800. Its totient is φ = 118513704960.

The previous prime is 494030130037. The next prime is 494030130101. The reversal of 494030130048 is 840031030494.

494030130048 is a `hidden beast` number, since 4 + 9 + 4 + 0 + 301 + 300 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 494030129994 and 494030130021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3890000961 + ... + 3890001087.

It is an arithmetic number, because the mean of its divisors is an integer number (1050551040).

Almost surely, 2494030130048 is an apocalyptic number.

494030130048 is a gapful number since it is divisible by the number (48) 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 494030130048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008528998400).

494030130048 is an abundant number, since it is smaller than the sum of its proper divisors (1523027866752).

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

494030130048 is a wasteful number, since it uses less digits than its factorization.

494030130048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 494030130048 in words is "four hundred ninety-four billion, thirty million, one hundred thirty thousand, forty-eight".