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20141433414102 = 237111337711276571
BaseRepresentation
bin1001001010001100010101…
…11110111110000111010110
32122022111120010101100220010
410211012022332332013112
510114444123423222402
6110500502523021050
74146112332142020
oct445061276760726
978274503340803
1020141433414102
116465a30092430
12231366536a786
13b31437b23450
144d8bc9db9010
1524ddd184ca6c
hex12518afbe1d6

20141433414102 has 256 divisors, whose sum is σ = 56330281598976. Its totient is φ = 4632417216000.

The previous prime is 20141433414083. The next prime is 20141433414133.

It is a happy number.

20141433414102 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 20141433414102.

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, 15139477 + ... + 16416047.

It is an arithmetic number, because the mean of its divisors is an integer number (220040162496).

Almost surely, 220141433414102 is an apocalyptic number.

20141433414102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20141433414102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28165140799488).

20141433414102 is an abundant number, since it is smaller than the sum of its proper divisors (36188848184874).

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

20141433414102 is a wasteful number, since it uses less digits than its factorization.

20141433414102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276715.

The product of its (nonzero) digits is 9216, while the sum is 30.

It can be divided in two parts, 2014143 and 3414102, that added together give a palindrome (5428245).

The spelling of 20141433414102 in words is "twenty trillion, one hundred forty-one billion, four hundred thirty-three million, four hundred fourteen thousand, one hundred two".