Search a number
-
+
18227341440 = 27335721119103
BaseRepresentation
bin10000111110011011…
…110010100010000000
31202001021221212212000
4100332123302202000
5244312144411230
612212403104000
71213455563100
oct207633624200
952037855760
1018227341440
11780394a450
123648372000
13194636b749
14c4cac9200
1571a313b60
hex43e6f2880

18227341440 has 1536 divisors, whose sum is σ = 87070464000. Its totient is φ = 3553320960.

The previous prime is 18227341403. The next prime is 18227341471. The reversal of 18227341440 is 4414372281.

18227341440 is a `hidden beast` number, since 18 + 227 + 3 + 414 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 18227341395 and 18227341404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 176964429 + ... + 176964531.

It is an arithmetic number, because the mean of its divisors is an integer number (56686500).

Almost surely, 218227341440 is an apocalyptic number.

18227341440 is a gapful number since it is divisible by the number (10) 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 18227341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43535232000).

18227341440 is an abundant number, since it is smaller than the sum of its proper divisors (68843122560).

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

18227341440 is a wasteful number, since it uses less digits than its factorization.

18227341440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 150 counting only the distinct ones).

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

The spelling of 18227341440 in words is "eighteen billion, two hundred twenty-seven million, three hundred forty-one thousand, four hundred forty".