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1241114214340 = 22571113237336923
BaseRepresentation
bin10010000011111000001…
…010111111111111000100
311101122112101100121012201
4102003320022333333010
5130313300214324330
62350054320524244
7155444652521110
oct22037012777704
94348471317181
101241114214340
11439398688930
12180652780684
1390062456aa0
14440daa94740
152243e414eca
hex120f82bffc4

1241114214340 has 384 divisors, whose sum is σ = 3701691850752. Its totient is φ = 336870420480.

The previous prime is 1241114214337. The next prime is 1241114214349. The reversal of 1241114214340 is 434124111421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1241114214299 and 1241114214308.

It is not an unprimeable number, because it can be changed into a prime (1241114214349) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33595119 + ... + 33632041.

It is an arithmetic number, because the mean of its divisors is an integer number (9639822528).

Almost surely, 21241114214340 is an apocalyptic number.

1241114214340 is a gapful number since it is divisible by the number (10) 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 1241114214340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850845925376).

1241114214340 is an abundant number, since it is smaller than the sum of its proper divisors (2460577636412).

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

1241114214340 is a wasteful number, since it uses less digits than its factorization.

1241114214340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37059 (or 37057 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 1241114214340 its reverse (434124111421), we get a palindrome (1675238325761).

The spelling of 1241114214340 in words is "one trillion, two hundred forty-one billion, one hundred fourteen million, two hundred fourteen thousand, three hundred forty".