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21314406150 = 23352191814591
BaseRepresentation
bin10011110110011100…
…000000011100000110
32001000102211000112000
4103312130000130012
5322122441444100
613443001410130
71353122314542
oct236634003406
961012730460
1021314406150
1190484768a4
12416a199946
132018ab7b5b
141062ab6a22
1584b354900
hex4f6700706

21314406150 has 192 divisors, whose sum is σ = 62179353600. Its totient is φ = 5353776000.

The previous prime is 21314406143. The next prime is 21314406151. The reversal of 21314406150 is 5160441312.

It is a happy number.

21314406150 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 4 + 40 + 615 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21314406151) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4640355 + ... + 4644945.

It is an arithmetic number, because the mean of its divisors is an integer number (323850800).

Almost surely, 221314406150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21314406150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31089676800).

21314406150 is an abundant number, since it is smaller than the sum of its proper divisors (40864947450).

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

21314406150 is a wasteful number, since it uses less digits than its factorization.

21314406150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4812 (or 4801 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 21314406150 its reverse (5160441312), we get a palindrome (26474847462).

The spelling of 21314406150 in words is "twenty-one billion, three hundred fourteen million, four hundred six thousand, one hundred fifty".