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2002342432002 = 231124659159197
BaseRepresentation
bin11101001000110100111…
…010001100110100000010
321002102101200112201120220
4131020310322030310002
5230301244130311002
64131510255243510
7264443624563623
oct35106472146402
97072350481526
102002342432002
11702209113700
12284098519596
13116a87945003
146ccb1a05a4a
15371439817bc
hex1d234e8cd02

2002342432002 has 48 divisors (see below), whose sum is σ = 4402012532736. Its totient is φ = 606747160800.

The previous prime is 2002342432001. The next prime is 2002342432019.

It is a happy number.

2002342432002 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (2002342432001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33795468 + ... + 33854664.

It is an arithmetic number, because the mean of its divisors is an integer number (91708594432).

Almost surely, 22002342432002 is an apocalyptic number.

2002342432002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2002342432002 is an abundant number, since it is smaller than the sum of its proper divisors (2399670100734).

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

2002342432002 is a wasteful number, since it uses less digits than its factorization.

2002342432002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105815 (or 105804 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The spelling of 2002342432002 in words is "two trillion, two billion, three hundred forty-two million, four hundred thirty-two thousand, two".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 46591 59197 93182 118394 139773 177591 279546 355182 512501 651167 1025002 1302334 1537503 1953501 3075006 3907002 5637511 7162837 11275022 14325674 16912533 21488511 33825066 42977022 2758047427 5516094854 8274142281 16548284562 30338521697 60677043394 91015565091 182031130182 333723738667 667447477334 1001171216001 2002342432002