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41214324143412 = 223372174111173663
BaseRepresentation
bin10010101111011111101010…
…01001100111010100110100
312101221001101010001000001000
421113233311021213110310
520400223413440042122
6223353333225003300
711452431242001600
oct1127576511472464
9171831333030030
1041214324143412
111214a995584112
124757741923530
1319cc656693474
14a26ad9176500
154b712c2180ac
hex257bf5267534

41214324143412 has 288 divisors, whose sum is σ = 134818748144640. Its totient is φ = 10812529244160.

The previous prime is 41214324143407. The next prime is 41214324143413. The reversal of 41214324143412 is 21434142341214.

41214324143412 is a `hidden beast` number, since 4 + 1 + 214 + 3 + 2 + 4 + 1 + 434 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41214324143413) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1898308 + ... + 9275355.

It is an arithmetic number, because the mean of its divisors is an integer number (468120653280).

Almost surely, 241214324143412 is an apocalyptic number.

41214324143412 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41214324143412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67409374072320).

41214324143412 is an abundant number, since it is smaller than the sum of its proper divisors (93604424001228).

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

41214324143412 is a wasteful number, since it uses less digits than its factorization.

41214324143412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11173748 (or 11173733 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

Adding to 41214324143412 its reverse (21434142341214), we get a palindrome (62648466484626).

The spelling of 41214324143412 in words is "forty-one trillion, two hundred fourteen billion, three hundred twenty-four million, one hundred forty-three thousand, four hundred twelve".