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14323940826624 = 293311137399259
BaseRepresentation
bin1101000001110000110101…
…1001111001111000000000
31212201100121001201222121000
43100130031121321320000
53334140412322422444
650244154431132000
73005604415061322
oct320341531717000
955640531658530
1014323940826624
114622827199310
1217340aa974000
137cb984a31250
143773d5005612
1519c8ea2b0469
hexd070d679e00

14323940826624 has 640 divisors, whose sum is σ = 50495293094400. Its totient is φ = 3951770664960.

The previous prime is 14323940826553. The next prime is 14323940826631. The reversal of 14323940826624 is 42662804932341.

14323940826624 is a `hidden beast` number, since 1 + 4 + 3 + 2 + 3 + 9 + 4 + 0 + 8 + 2 + 6 + 624 = 666.

It is a super-5 number, since 5×143239408266245 (a number of 67 digits) contains 55555 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 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, 144259107 + ... + 144358365.

It is an arithmetic number, because the mean of its divisors is an integer number (78898895460).

Almost surely, 214323940826624 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 14323940826624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25247646547200).

14323940826624 is an abundant number, since it is smaller than the sum of its proper divisors (36171352267776).

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

14323940826624 is a wasteful number, since it uses less digits than its factorization.

14323940826624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99383 (or 99361 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 14323940826624 in words is "fourteen trillion, three hundred twenty-three billion, nine hundred forty million, eight hundred twenty-six thousand, six hundred twenty-four".