Search a number
-
+
494130954240 = 22332571117
BaseRepresentation
bin1110011000011001000…
…00000000000000000000
31202020102211120022000100
413030030200000000000
531043440011013430
61015000045122400
750462011544640
oct7141440000000
91666384508010
10494130954240
11180618050560
127b923559400
133779a242c31
1419cb7982520
15ccc0766960
hex730c800000

494130954240 has 1152 divisors, whose sum is σ = 2261300146560. Its totient is φ = 96636764160.

The previous prime is 494130954211. The next prime is 494130954241. The reversal of 494130954240 is 42459031494.

494130954240 is a `hidden beast` number, since 4 + 9 + 4 + 130 + 95 + 424 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 10880 × 9856 × 4608.

It is not an unprimeable number, because it can be changed into a prime (494130954241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29066526712 + ... + 29066526728.

It is an arithmetic number, because the mean of its divisors is an integer number (1962934155).

Almost surely, 2494130954240 is an apocalyptic number.

494130954240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

494130954240 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 494130954240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130650073280).

494130954240 is an abundant number, since it is smaller than the sum of its proper divisors (1767169192320).

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

494130954240 is an frugal number, since it uses more digits than its factorization.

494130954240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 494130954240 in words is "four hundred ninety-four billion, one hundred thirty million, nine hundred fifty-four thousand, two hundred forty".