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2014001020441 = 671811249132967
BaseRepresentation
bin11101010011101011110…
…100001011111000011001
321010112111012020101022201
4131103223310023320121
5230444133230123231
64141115211250201
7265335552133444
oct35235364137031
97115435211281
102014001020441
11707151086763
122863b0a49961
13117bc513c857
146d69a15065b
15375c7263161
hex1d4ebd0be19

2014001020441 has 16 divisors (see below), whose sum is σ = 2057014960000. Its totient is φ = 1971385827840.

The previous prime is 2014001020439. The next prime is 2014001020459. The reversal of 2014001020441 is 1440201004102.

It is a cyclic number.

It is not a de Polignac number, because 2014001020441 - 21 = 2014001020439 is a prime.

It is a super-2 number, since 2×20140010204412 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2014001000441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15080140 + ... + 15213106.

It is an arithmetic number, because the mean of its divisors is an integer number (128563435000).

Almost surely, 22014001020441 is an apocalyptic number.

It is an amenable number.

2014001020441 is a deficient number, since it is larger than the sum of its proper divisors (43013939559).

2014001020441 is a wasteful number, since it uses less digits than its factorization.

2014001020441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134464.

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 2014001020441 its reverse (1440201004102), we get a palindrome (3454202024543).

The spelling of 2014001020441 in words is "two trillion, fourteen billion, one million, twenty thousand, four hundred forty-one".

Divisors: 1 67 181 1249 12127 83683 132967 226069 8908789 15146623 24067027 166075783 1612490809 11127077461 30059716723 2014001020441