Search a number
-
+
32342121200040 = 2335269517676667
BaseRepresentation
bin1110101101010001111001…
…01001010011100110101000
311020111212200000221022010020
413112220330221103212220
513214343131011400130
6152441433152520440
76545432625202251
oct726507451234650
9136455600838106
1032342121200040
11a33a242295163
123764152b50120
131507b06186012
147db51d153b28
153b145d2a0e10
hex1d6a3ca539a8

32342121200040 has 32 divisors (see below), whose sum is σ = 97026363600480. Its totient is φ = 8624565653312.

The previous prime is 32342121200003. The next prime is 32342121200131. The reversal of 32342121200040 is 4000212124323.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 134758838214 + ... + 134758838453.

It is an arithmetic number, because the mean of its divisors is an integer number (3032073862515).

Almost surely, 232342121200040 is an apocalyptic number.

32342121200040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32342121200040 is an abundant number, since it is smaller than the sum of its proper divisors (64684242400440).

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

32342121200040 is a wasteful number, since it uses less digits than its factorization.

32342121200040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269517676681 (or 269517676677 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 32342121200040 its reverse (4000212124323), we get a palindrome (36342333324363).

The spelling of 32342121200040 in words is "thirty-two trillion, three hundred forty-two billion, one hundred twenty-one million, two hundred thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 269517676667 539035353334 808553030001 1078070706668 1347588383335 1617106060002 2156141413336 2695176766670 3234212120004 4042765150005 5390353533340 6468424240008 8085530300010 10780707066680 16171060600020 32342121200040