Search a number
-
+
422998302720 = 2133573713291
BaseRepresentation
bin1100010011111001010…
…10011110000000000000
31111102211110221012100110
412021330222132000000
523412300031141340
6522153413351320
742363202151160
oct6117452360000
91442743835313
10422998302720
11153435572654
1269b91338540
1330b72254aa6
141668a76c5a0
15b00a9c0680
hex627ca9e000

422998302720 has 448 divisors, whose sum is σ = 1588797651456. Its totient is φ = 94065131520.

The previous prime is 422998302631. The next prime is 422998302721. The reversal of 422998302720 is 27203899224.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 422998302720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422998302721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31819275 + ... + 31832565.

Almost surely, 2422998302720 is an apocalyptic number.

422998302720 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 422998302720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794398825728).

422998302720 is an abundant number, since it is smaller than the sum of its proper divisors (1165799348736).

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

422998302720 is a wasteful number, since it uses less digits than its factorization.

422998302720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13369 (or 13345 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 422998302720 in words is "four hundred twenty-two billion, nine hundred ninety-eight million, three hundred two thousand, seven hundred twenty".