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1444014211133 = 132313999734849
BaseRepresentation
bin10101000000110101111…
…101000100000000111101
312010001020211111101102202
4111000311331010000331
5142124320114224013
63023212044001245
7206220006163214
oct25006575040075
95101224441382
101444014211133
1150744841659a
121b3a39530225
13a62295153a0
144dc67d8a07b
1527867277858
hex15035f4403d

1444014211133 has 32 divisors (see below), whose sum is σ = 1636065312000. Its totient is φ = 1264504006656.

The previous prime is 1444014211103. The next prime is 1444014211139. The reversal of 1444014211133 is 3311124104441.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-1444014211133 is a prime.

It is a super-2 number, since 2×14440142111332 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1444014211096 and 1444014211105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444014211139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41418893 + ... + 41453741.

It is an arithmetic number, because the mean of its divisors is an integer number (51127041000).

Almost surely, 21444014211133 is an apocalyptic number.

1444014211133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1444014211133 is a deficient number, since it is larger than the sum of its proper divisors (192051100867).

1444014211133 is a wasteful number, since it uses less digits than its factorization.

1444014211133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36021.

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 1444014211133 its reverse (3311124104441), we get a palindrome (4755138315574).

It can be divided in two parts, 144401 and 4211133, that added together give a palindrome (4355534).

The spelling of 1444014211133 in words is "one trillion, four hundred forty-four billion, fourteen million, two hundred eleven thousand, one hundred thirty-three".

Divisors: 1 13 23 139 299 997 1807 3197 12961 22931 34849 41561 138583 298103 453037 801527 1801579 3187409 4844011 10419851 34744453 41436317 62972143 111412253 451677889 799122419 1448359289 4829478967 10388591447 62783226571 111078016241 1444014211133