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13994222770944 = 2833131927892939
BaseRepresentation
bin1100101110100100100010…
…1011010101101100000000
31211112211112110001022101000
43023221020223111230000
53313240132012132234
645432505053012000
72643022612616133
oct313511053255400
954484473038330
1013994222770944
114505a09a1aa19
1216a0210a84000
137a685a085c10
1436547708c21a
1519404db1b899
hexcba48ad5b00

13994222770944 has 576 divisors, whose sum is σ = 46945120320000. Its totient is φ = 4076437487616.

The previous prime is 13994222770933. The next prime is 13994222770967. The reversal of 13994222770944 is 44907722249931.

13994222770944 is a `hidden beast` number, since 1 + 39 + 9 + 422 + 27 + 70 + 94 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×139942227709442 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 4761557827 + ... + 4761560765.

It is an arithmetic number, because the mean of its divisors is an integer number (81501945000).

Almost surely, 213994222770944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13994222770944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23472560160000).

13994222770944 is an abundant number, since it is smaller than the sum of its proper divisors (32950897549056).

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

13994222770944 is a wasteful number, since it uses less digits than its factorization.

13994222770944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5785 (or 5765 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 13994222770944 in words is "thirteen trillion, nine hundred ninety-four billion, two hundred twenty-two million, seven hundred seventy thousand, nine hundred forty-four".