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10303194553344 = 2103371131156119
BaseRepresentation
bin1001010111101110011001…
…0000000101110000000000
31100110222100100021101221000
42111323212100011300000
52322301420301201334
633525120000332000
72112244523463360
oct225734620056000
940428310241830
1010303194553344
1133126187a3550
1211a49b3014000
13599782a69784
1427896a63c9a0
1512d022cc6299
hex95ee6405c00

10303194553344 has 704 divisors, whose sum is σ = 39269700403200. Its totient is φ = 2589810278400.

The previous prime is 10303194553319. The next prime is 10303194553367. The reversal of 10303194553344 is 44335549130301.

10303194553344 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 3 + 1 + 94 + 553 + 3 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a self number, because there is not a number n which added to its sum of digits gives 10303194553344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65917717 + ... + 66073835.

Almost surely, 210303194553344 is an apocalyptic number.

10303194553344 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 10303194553344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19634850201600).

10303194553344 is an abundant number, since it is smaller than the sum of its proper divisors (28966505849856).

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

10303194553344 is a wasteful number, since it uses less digits than its factorization.

10303194553344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156197 (or 156173 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 10303194553344 in words is "ten trillion, three hundred three billion, one hundred ninety-four million, five hundred fifty-three thousand, three hundred forty-four".