Search a number
-
+
214132032300320 = 2557293118350567
BaseRepresentation
bin110000101100000001111111…
…101110000110010100100000
31001002011211012111121210212222
4300230001333232012110200
5211031314400232102240
62035230521515010212
763050346244013351
oct6054017756062440
91032154174553788
10214132032300320
1162257980906402
1220024280439968
139263744160a04
143ac408d423d28
1519b50eb443eb5
hexc2c07fb86520

214132032300320 has 48 divisors (see below), whose sum is σ = 505893890392128. Its totient is φ = 85651633816320.

The previous prime is 214132032300283. The next prime is 214132032300331. The reversal of 214132032300320 is 23003230231412.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 214132032300320.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2493677 + ... + 20844243.

It is an arithmetic number, because the mean of its divisors is an integer number (10539456049836).

Almost surely, 2214132032300320 is an apocalyptic number.

214132032300320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214132032300320 is an abundant number, since it is smaller than the sum of its proper divisors (291761858091808).

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

214132032300320 is a wasteful number, since it uses less digits than its factorization.

214132032300320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18423513 (or 18423505 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 214132032300320 its reverse (23003230231412), we get a palindrome (237135262531732).

The spelling of 214132032300320 in words is "two hundred fourteen trillion, one hundred thirty-two billion, thirty-two million, three hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 72931 145862 291724 364655 583448 729310 1166896 1458620 2333792 2917240 5834480 11668960 18350567 36701134 73402268 91752835 146804536 183505670 293609072 367011340 587218144 734022680 1468045360 2936090720 1338325201877 2676650403754 5353300807508 6691626009385 10706601615016 13383252018770 21413203230032 26766504037540 42826406460064 53533008075080 107066016150160 214132032300320