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494824861440 = 283357313319
BaseRepresentation
bin1110011001101011101…
…11000010111100000000
31202022020012021102202000
413030311313002330000
531101400131031230
61015152554024000
750515135632000
oct7146567027400
91668205242660
10494824861440
11180943809288
127ba97a18000
133787ac2b000
1419d41bb2000
15cd11633b60
hex7335dc2f00

494824861440 has 2304 divisors, whose sum is σ = 2335065600000. Its totient is φ = 98907734016.

The previous prime is 494824861429. The next prime is 494824861463. The reversal of 494824861440 is 44168428494.

494824861440 is a `hidden beast` number, since 49 + 4 + 82 + 4 + 86 + 1 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 26043413751 + ... + 26043413769.

Almost surely, 2494824861440 is an apocalyptic number.

494824861440 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 494824861440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167532800000).

494824861440 is an abundant number, since it is smaller than the sum of its proper divisors (1840240738560).

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

494824861440 is an equidigital number, since it uses as much as digits as its factorization.

494824861440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 494824861440 in words is "four hundred ninety-four billion, eight hundred twenty-four million, eight hundred sixty-one thousand, four hundred forty".