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21341214340 = 2251419775161
BaseRepresentation
bin10011111000000010…
…010001011010000100
32001002022021000102221
4103320002101122010
5322201322324330
613445400142124
71353566220535
oct237002213204
961068230387
1021341214340
119061617226
124177167944
1320215130a4
14106649468c
1584d89cb7a
hex4f8091684

21341214340 has 24 divisors (see below), whose sum is σ = 44820303192. Its totient is φ = 8535770880.

The previous prime is 21341214331. The next prime is 21341214341. The reversal of 21341214340 is 4341214312.

It can be written as a sum of positive squares in 4 ways, for example, as 6474777156 + 14866437184 = 80466^2 + 121928^2 .

It is not an unprimeable number, because it can be changed into a prime (21341214341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 246360 + ... + 321520.

It is an arithmetic number, because the mean of its divisors is an integer number (1867512633).

Almost surely, 221341214340 is an apocalyptic number.

21341214340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21341214340 is an abundant number, since it is smaller than the sum of its proper divisors (23479088852).

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

21341214340 is a wasteful number, since it uses less digits than its factorization.

21341214340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89367 (or 89365 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 21341214340 its reverse (4341214312), we get a palindrome (25682428652).

The spelling of 21341214340 in words is "twenty-one billion, three hundred forty-one million, two hundred fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 14197 28394 56788 70985 75161 141970 150322 283940 300644 375805 751610 1503220 1067060717 2134121434 4268242868 5335303585 10670607170 21341214340