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20234331414 = 23311293753599
BaseRepresentation
bin10010110110000011…
…110110010100010110
31221020011110112112000
4102312003312110112
5312414442101124
613143455540130
71314265656603
oct226603662426
957204415460
1020234331414
118643830750
123b0852a646
131ba60c258b
14d9d4836aa
157d66076c9
hex4b60f6516

20234331414 has 256 divisors, whose sum is σ = 53187840000. Its totient is φ = 5642058240.

The previous prime is 20234331353. The next prime is 20234331419. The reversal of 20234331414 is 41413343202.

20234331414 is a `hidden beast` number, since 2 + 0 + 2 + 343 + 314 + 1 + 4 = 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 (20234331419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33779887 + ... + 33780485.

It is an arithmetic number, because the mean of its divisors is an integer number (207765000).

Almost surely, 220234331414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20234331414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26593920000).

20234331414 is an abundant number, since it is smaller than the sum of its proper divisors (32953508586).

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

20234331414 is a wasteful number, since it uses less digits than its factorization.

20234331414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 20234331414 its reverse (41413343202), we get a palindrome (61647674616).

The spelling of 20234331414 in words is "twenty billion, two hundred thirty-four million, three hundred thirty-one thousand, four hundred fourteen".