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414141324423030 = 232537337544367801
BaseRepresentation
bin101111000101010001100101…
…0100001110110111101110110
32000022100112010222000121111100
41132022203022201312331312
5413240242413023014110
64024445521542550530
7153142503043143021
oct13612431241667566
92008315128017440
10414141324423030
1110aa5a392aa4006
123a547443738446
1314a11489570349
14743a7931821b8
1532d2b76164bc0
hex178a8ca876f76

414141324423030 has 192 divisors, whose sum is σ = 1109370915027648. Its totient is φ = 107112770150400.

The previous prime is 414141324422971. The next prime is 414141324423097. The reversal of 414141324423030 is 30324423141414.

414141324423030 is a `hidden beast` number, since 4 + 1 + 4 + 1 + 413 + 2 + 4 + 4 + 230 + 3 + 0 = 666.

It is a super-2 number, since 2×4141413244230302 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6108155130 + ... + 6108222930.

It is an arithmetic number, because the mean of its divisors is an integer number (5777973515769).

Almost surely, 2414141324423030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414141324423030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554685457513824).

414141324423030 is an abundant number, since it is smaller than the sum of its proper divisors (695229590604618).

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

414141324423030 is a wasteful number, since it uses less digits than its factorization.

414141324423030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73631 (or 73628 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 414141324423030 its reverse (30324423141414), we get a palindrome (444465747564444).

The spelling of 414141324423030 in words is "four hundred fourteen trillion, one hundred forty-one billion, three hundred twenty-four million, four hundred twenty-three thousand, thirty".