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1334241423144 = 2332729433210823
BaseRepresentation
bin10011011010100110111…
…111000110111100101000
311201112220120121222100100
4103122212333012330220
5133330011301020034
62500535252105400
7165252513654360
oct23324677067450
94645816558310
101334241423144
11474937555203
12196702905260
1398a8410c776
144881302d9a0
1524a900b2099
hex136a6fc6f28

1334241423144 has 192 divisors, whose sum is σ = 4282088428800. Its totient is φ = 367214819328.

The previous prime is 1334241423139. The next prime is 1334241423161. The reversal of 1334241423144 is 4413241424331.

1334241423144 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 2 + 414 + 231 + 4 + 4 = 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 junction number, because it is equal to n+sod(n) for n = 1334241423099 and 1334241423108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6223317 + ... + 6434139.

It is an arithmetic number, because the mean of its divisors is an integer number (22302543900).

Almost surely, 21334241423144 is an apocalyptic number.

1334241423144 is a gapful number since it is divisible by the number (14) 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 1334241423144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2141044214400).

1334241423144 is an abundant number, since it is smaller than the sum of its proper divisors (2947847005656).

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

1334241423144 is a wasteful number, since it uses less digits than its factorization.

1334241423144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211304 (or 211297 counting only the distinct ones).

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

Adding to 1334241423144 its reverse (4413241424331), we get a palindrome (5747482847475).

The spelling of 1334241423144 in words is "one trillion, three hundred thirty-four billion, two hundred forty-one million, four hundred twenty-three thousand, one hundred forty-four".