Search a number
-
+
423025535232432 = 243311298943397949
BaseRepresentation
bin110000000101111010100111…
…0110000100010100110110000
32001110210211211220001002221000
41200023311032300202212300
5420421322244004414212
64055411125325202000
7155050405055060166
oct14013651660424660
92043724756032830
10423025535232432
11112875138427490
123b541223a00300
13152071a1737772
14766678bc6d236
1533d8ce93a31dc
hex180bd4ec229b0

423025535232432 has 640 divisors, whose sum is σ = 1386192528000000. Its totient is φ = 122334964899840.

The previous prime is 423025535232397. The next prime is 423025535232437. The reversal of 423025535232432 is 234232535520324.

423025535232432 is a `hidden beast` number, since 4 + 2 + 3 + 0 + 2 + 55 + 352 + 3 + 243 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (423025535232437) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53217449194 + ... + 53217457142.

It is an arithmetic number, because the mean of its divisors is an integer number (2165925825000).

Almost surely, 2423025535232432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423025535232432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693096264000000).

423025535232432 is an abundant number, since it is smaller than the sum of its proper divisors (963166992767568).

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

423025535232432 is a wasteful number, since it uses less digits than its factorization.

423025535232432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12434 (or 12422 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 45.

The spelling of 423025535232432 in words is "four hundred twenty-three trillion, twenty-five billion, five hundred thirty-five million, two hundred thirty-two thousand, four hundred thirty-two".