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14220149276880 = 243453361652921
BaseRepresentation
bin1100111011101110001011…
…1100100100000011010000
31212100102200122121221220000
43032323202330210003100
53330440331203330010
650124351342050000
72665241361340041
oct316734274440320
955312618557800
1014220149276880
114592805603828
121717b63279900
137c1c53855761
1437238a5b28c8
15199d732787c0
hexceee2f240d0

14220149276880 has 200 divisors, whose sum is σ = 49403455432584. Its totient is φ = 3790905753600.

The previous prime is 14220149276819. The next prime is 14220149276891. The reversal of 14220149276880 is 8867294102241.

14220149276880 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 0 + 1 + 492 + 76 + 8 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4286986814016 + 9933162462864 = 2070504^2 + 3151692^2 .

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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21452820 + ... + 22105740.

Almost surely, 214220149276880 is an apocalyptic number.

14220149276880 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 14220149276880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24701727716292).

14220149276880 is an abundant number, since it is smaller than the sum of its proper divisors (35183306155704).

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

14220149276880 is a wasteful number, since it uses less digits than its factorization.

14220149276880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656307 (or 656292 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 14220149276880 in words is "fourteen trillion, two hundred twenty billion, one hundred forty-nine million, two hundred seventy-six thousand, eight hundred eighty".