Search a number
-
+
472234121280 = 2634553379907
BaseRepresentation
bin1101101111100110101…
…10001101100001000000
31200010220210210221010000
412313303112031201000
530214113413340110
61000535200040000
746055254541535
oct6676326154100
91603823727100
10472234121280
11172300939899
1277632303000
13356ba8a313c
1418bdb7b8d8c
15c43d2161c0
hex6df358d840

472234121280 has 560 divisors, whose sum is σ = 1717922416320. Its totient is φ = 123091218432.

The previous prime is 472234121269. The next prime is 472234121311. The reversal of 472234121280 is 82121432274.

472234121280 is a `hidden beast` number, since 4 + 7 + 22 + 341 + 212 + 80 = 666.

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

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 79 ways as a sum of consecutive naturals, for example, 520654587 + ... + 520655493.

Almost surely, 2472234121280 is an apocalyptic number.

472234121280 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 472234121280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858961208160).

472234121280 is an abundant number, since it is smaller than the sum of its proper divisors (1245688295040).

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

472234121280 is a wasteful number, since it uses less digits than its factorization.

472234121280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 472234121280 in words is "four hundred seventy-two billion, two hundred thirty-four million, one hundred twenty-one thousand, two hundred eighty".