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11343007301472 = 253372111719731033
BaseRepresentation
bin1010010100001111111111…
…1010111011111101100000
31111011101021200101222122000
42211003333322323331200
52441320434332121342
640042523340244000
72250335203142400
oct245037772737540
944141250358560
1011343007301472
1136835a6a01370
121332426240600
13643844374c32
142b300c42c800
1514a0ce88744c
hexa50ffebbf60

11343007301472 has 2304 divisors, whose sum is σ = 47480075596800. Its totient is φ = 2588489809920.

The previous prime is 11343007301471. The next prime is 11343007301609. The reversal of 11343007301472 is 27410370034311.

11343007301472 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 300 + 7 + 301 + 47 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11343007301471) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10980645468 + ... + 10980646500.

It is an arithmetic number, because the mean of its divisors is an integer number (20607671700).

Almost surely, 211343007301472 is an apocalyptic number.

11343007301472 is a gapful number since it is divisible by the number (12) 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 11343007301472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23740037798400).

11343007301472 is an abundant number, since it is smaller than the sum of its proper divisors (36137068295328).

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

11343007301472 is a wasteful number, since it uses less digits than its factorization.

11343007301472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

Adding to 11343007301472 its reverse (27410370034311), we get a palindrome (38753377335783).

The spelling of 11343007301472 in words is "eleven trillion, three hundred forty-three billion, seven million, three hundred one thousand, four hundred seventy-two".