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41230403214 = 2371121337101167
BaseRepresentation
bin100110011001100001…
…100000011010001110
310221102102021111101220
4212121201200122032
51133414440400324
630535130344210
72656504434120
oct463141403216
9127372244356
1041230403214
1116538540200
127ba7b8b066
133b70c603c0
141dd1b73210
151114a2ab79
hex99986068e

41230403214 has 384 divisors, whose sum is σ = 116397582336. Its totient is φ = 9465984000.

The previous prime is 41230403213. The next prime is 41230403273.

41230403214 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×412304032142 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41230403213) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 246888559 + ... + 246888725.

It is an arithmetic number, because the mean of its divisors is an integer number (303118704).

Almost surely, 241230403214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41230403214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58198791168).

41230403214 is an abundant number, since it is smaller than the sum of its proper divisors (75167179122).

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

41230403214 is a wasteful number, since it uses less digits than its factorization.

41230403214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 41230 and 403214, that added together give a palindrome (444444).

The spelling of 41230403214 in words is "forty-one billion, two hundred thirty million, four hundred three thousand, two hundred fourteen".