Search a number
-
+
2002432342002 = 23760743872581
BaseRepresentation
bin11101001000111010010…
…001001011011111110010
321002102121221201121220220
4131020322101023133302
5230301440134421002
64131523230313510
7264446066033121
oct35107221133762
97072557647826
102002432342002
11702254943394
12284102658896
13116aa0464cb1
146ccbd92bab8
153714b7e17bc
hex1d23a44b7f2

2002432342002 has 16 divisors (see below), whose sum is σ = 4005391246272. Its totient is φ = 667389686960.

The previous prime is 2002432341947. The next prime is 2002432342007.

It is a happy number.

2002432342002 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×20024323420022 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2002432342007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21890649 + ... + 21981932.

It is an arithmetic number, because the mean of its divisors is an integer number (250336952892).

Almost surely, 22002432342002 is an apocalyptic number.

2002432342002 is an abundant number, since it is smaller than the sum of its proper divisors (2002958904270).

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

2002432342002 is a wasteful number, since it uses less digits than its factorization.

2002432342002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43880193.

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

The spelling of 2002432342002 in words is "two trillion, two billion, four hundred thirty-two million, three hundred forty-two thousand, two".

Divisors: 1 2 3 6 7607 15214 22821 45642 43872581 87745162 131617743 263235486 333738723667 667477447334 1001216171001 2002432342002