Search a number
-
+
473304142080 = 283357112192337
BaseRepresentation
bin1101110001100110010…
…00000001000100000000
31200020200101020121201000
412320303020001010000
530223311330021310
61001233302212000
746123626553650
oct6706310010400
91606611217630
10473304142080
111727aa938300
1277890724000
133582b488443
1418c9d952360
15c4a21294c0
hex6e33201100

473304142080 has 3456 divisors, whose sum is σ = 2380118630400. Its totient is φ = 86712975360.

The previous prime is 473304142037. The next prime is 473304142111. The reversal of 473304142080 is 80241403374.

473304142080 is a `hidden beast` number, since 4 + 7 + 3 + 30 + 414 + 208 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 12792003822 + ... + 12792003858.

Almost surely, 2473304142080 is an apocalyptic number.

473304142080 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 473304142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190059315200).

473304142080 is an abundant number, since it is smaller than the sum of its proper divisors (1906814488320).

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

473304142080 is a wasteful number, since it uses less digits than its factorization.

473304142080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 473304142080 in words is "four hundred seventy-three billion, three hundred four million, one hundred forty-two thousand, eighty".