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11314255996800 = 2734521797103257
BaseRepresentation
bin1010010010100100111000…
…1101011010011110000000
31111001122001221202101020000
42210221032031122132000
52440333044013344200
640021410352120000
72245266545113611
oct244511615323600
944048057671200
1011314255996800
113672392603649
121328941536000
13640c118c3913
142b1881b8bc08
1514949a6b7300
hexa4a4e35a780

11314255996800 has 1920 divisors, whose sum is σ = 45272957970240. Its totient is φ = 2772267171840.

The previous prime is 11314255996759. The next prime is 11314255996801. The reversal of 11314255996800 is 869955241311.

11314255996800 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 4 + 2 + 559 + 9 + 6 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×113142559968002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11314255996801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 44024342272 + ... + 44024342528.

Almost surely, 211314255996800 is an apocalyptic number.

11314255996800 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 11314255996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22636478985120).

11314255996800 is an abundant number, since it is smaller than the sum of its proper divisors (33958701973440).

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

11314255996800 is a wasteful number, since it uses less digits than its factorization.

11314255996800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 11314255996800 in words is "eleven trillion, three hundred fourteen billion, two hundred fifty-five million, nine hundred ninety-six thousand, eight hundred".