Search a number
-
+
21214412340 = 223511296771233
BaseRepresentation
bin10011110000011110…
…100011111000110100
32000202110122210210120
4103300132203320310
5321421342143330
613425030251540
71350466346442
oct236036437064
960673583716
1021214412340
118aa6a89a90
1241407b6bb0
132001177114
1410536c7b92
158426a1c10
hex4f07a3e34

21214412340 has 384 divisors, whose sum is σ = 69289758720. Its totient is φ = 4801843200.

The previous prime is 21214412309. The next prime is 21214412371. The reversal of 21214412340 is 4321441212.

It is an interprime number because it is at equal distance from previous prime (21214412309) and next prime (21214412371).

It is a self number, because there is not a number n which added to its sum of digits gives 21214412340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 91048864 + ... + 91049096.

It is an arithmetic number, because the mean of its divisors is an integer number (180442080).

Almost surely, 221214412340 is an apocalyptic number.

21214412340 is a gapful number since it is divisible by the number (20) 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 21214412340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34644879360).

21214412340 is an abundant number, since it is smaller than the sum of its proper divisors (48075346380).

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

21214412340 is a wasteful number, since it uses less digits than its factorization.

21214412340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 21214412340 its reverse (4321441212), we get a palindrome (25535853552).

The spelling of 21214412340 in words is "twenty-one billion, two hundred fourteen million, four hundred twelve thousand, three hundred forty".