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14840684544 = 21337281307
BaseRepresentation
bin11011101001001001…
…01110000000000000
31102022021100212222010
431310210232000000
5220343203401134
610452343212520
71033523510610
oct156444560000
942267325863
1014840684544
1163261a7a54
122a62147140
13152683805a
14a0add2a40
155bcd44ce9
hex37492e000

14840684544 has 224 divisors, whose sum is σ = 45534779136. Its totient is φ = 4211343360.

The previous prime is 14840684513. The next prime is 14840684549. The reversal of 14840684544 is 44548604841.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 14840684493 and 14840684502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14840684549) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48340839 + ... + 48341145.

It is an arithmetic number, because the mean of its divisors is an integer number (203280264).

Almost surely, 214840684544 is an apocalyptic number.

14840684544 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 14840684544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22767389568).

14840684544 is an abundant number, since it is smaller than the sum of its proper divisors (30694094592).

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

14840684544 is an equidigital number, since it uses as much as digits as its factorization.

14840684544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 48.

The spelling of 14840684544 in words is "fourteen billion, eight hundred forty million, six hundred eighty-four thousand, five hundred forty-four".