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412423202324214 = 232101353642649991
BaseRepresentation
bin101110111000110001100001…
…0011110001011111011110110
32000002021021101002011210011100
41131301203002132023323312
5413024120204243333324
64021052334211350530
7152604410265233064
oct13561430236137366
92002237332153140
10412423202324214
1110a457774952454
123a30a467bb2446
1314918458526ca3
1473bb564b03034
1532a31198c04c9
hex17718c278bef6

412423202324214 has 48 divisors (see below), whose sum is σ = 904987430534304. Its totient is φ = 135727677888000.

The previous prime is 412423202324209. The next prime is 412423202324239.

412423202324214 is a `hidden beast` number, since 4 + 1 + 2 + 4 + 2 + 320 + 2 + 324 + 2 + 1 + 4 = 666.

412423202324214 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4124232023242142 (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 23 ways as a sum of consecutive naturals, for example, 320683242 + ... + 321966749.

It is an arithmetic number, because the mean of its divisors is an integer number (18853904802798).

Almost surely, 2412423202324214 is an apocalyptic number.

412423202324214 is an abundant number, since it is smaller than the sum of its proper divisors (492564228210090).

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

412423202324214 is a wasteful number, since it uses less digits than its factorization.

412423202324214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642650453 (or 642650450 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

It can be divided in two parts, 41242320 and 2324214, that added together give a palindrome (43566534).

The spelling of 412423202324214 in words is "four hundred twelve trillion, four hundred twenty-three billion, two hundred two million, three hundred twenty-four thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 101 202 303 353 606 706 909 1059 1818 2118 3177 6354 35653 71306 106959 213918 320877 641754 642649991 1285299982 1927949973 3855899946 5783849919 11567699838 64907649091 129815298182 194722947273 226855446823 389445894546 453710893646 584168841819 680566340469 1168337683638 1361132680938 2041699021407 4083398042814 22912400129123 45824800258246 68737200387369 137474400774738 206211601162107 412423202324214