Search a number
-
+
1444014123112 = 2311231721414553
BaseRepresentation
bin10101000000110101111…
…100101110100001101000
312010001020211022220200201
4111000311330232201220
5142124320103414422
63023212042041544
7206220005345461
oct25006574564150
95101224286621
101444014123112
11507448366450
121b3a394a92b4
13a62294b42c2
144dc67d65d68
152786725b727
hex15035f2e868

1444014123112 has 64 divisors (see below), whose sum is σ = 3083883788160. Its totient is φ = 627465907200.

The previous prime is 1444014123107. The next prime is 1444014123113. The reversal of 1444014123112 is 2113214104441.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1444014123113) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3276028 + ... + 3690580.

It is an arithmetic number, because the mean of its divisors is an integer number (48185684190).

Almost surely, 21444014123112 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 1444014123112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541941894080).

1444014123112 is an abundant number, since it is smaller than the sum of its proper divisors (1639869665048).

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

1444014123112 is a wasteful number, since it uses less digits than its factorization.

1444014123112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416314 (or 416310 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 1444014123112 its reverse (2113214104441), we get a palindrome (3557228227553).

The spelling of 1444014123112 in words is "one trillion, four hundred forty-four billion, fourteen million, one hundred twenty-three thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 253 506 1012 1721 2024 3442 6884 13768 18931 37862 39583 75724 79166 151448 158332 316664 414553 435413 829106 870826 1658212 1741652 3316424 3483304 4560083 9120166 9534719 18240332 19069438 36480664 38138876 76277752 104881909 209763818 419527636 713445713 839055272 1426891426 2853782852 5707565704 7847902843 15695805686 16409251399 31391611372 32818502798 62783222744 65637005596 131274011192 180501765389 361003530778 722007061556 1444014123112