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114002020441 = 1947612092817
BaseRepresentation
bin110101000101100001…
…1001100100001011001
3101220020222220200100101
41222023003030201121
53331434004123231
6124212150535401
711144035120351
oct1521303144131
9356228820311
10114002020441
1144391194321
121a117067561
13a99a67813a
145736901b61
152e7361b661
hex1a8b0cc859

114002020441 has 16 divisors (see below), whose sum is σ = 124564527360. Its totient is φ = 103971098880.

The previous prime is 114002020397. The next prime is 114002020481. The reversal of 114002020441 is 144020200411.

It is not a de Polignac number, because 114002020441 - 27 = 114002020313 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114002020481) 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, 991936 + ... + 1100881.

It is an arithmetic number, because the mean of its divisors is an integer number (7785282960).

Almost surely, 2114002020441 is an apocalyptic number.

It is an amenable number.

114002020441 is a deficient number, since it is larger than the sum of its proper divisors (10562506919).

114002020441 is a wasteful number, since it uses less digits than its factorization.

114002020441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2092944.

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

Adding to 114002020441 its reverse (144020200411), we get a palindrome (258022220852).

The spelling of 114002020441 in words is "one hundred fourteen billion, two million, twenty thousand, four hundred forty-one".

Divisors: 1 19 47 61 893 1159 2867 54473 2092817 39763523 98362399 127661837 1868885581 2425574903 6000106339 114002020441