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134442332200 = 235211101605051
BaseRepresentation
bin111110100110101100…
…0110011000000101000
3110212000111222002210001
41331031120303000220
54200314214112300
6141432325432344
712466414653121
oct1751530630050
9425014862701
10134442332200
1152020212060
122208056b6b4
13c8a7339a77
146715483048
15376cd6016a
hex1f4d633028

134442332200 has 96 divisors (see below), whose sum is σ = 344371396320. Its totient is φ = 48404000000.

The previous prime is 134442332179. The next prime is 134442332201. The reversal of 134442332200 is 2233244431.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (134442332201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80326 + ... + 524725.

It is an arithmetic number, because the mean of its divisors is an integer number (3587202045).

Almost surely, 2134442332200 is an apocalyptic number.

134442332200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134442332200 is an abundant number, since it is smaller than the sum of its proper divisors (209929064120).

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

134442332200 is a wasteful number, since it uses less digits than its factorization.

134442332200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605179 (or 605170 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 134442332200 its reverse (2233244431), we get a palindrome (136675576631).

The spelling of 134442332200 in words is "one hundred thirty-four billion, four hundred forty-two million, three hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 101 110 200 202 220 275 404 440 505 550 808 1010 1100 1111 2020 2200 2222 2525 4040 4444 5050 5555 8888 10100 11110 20200 22220 27775 44440 55550 111100 222200 605051 1210102 2420204 3025255 4840408 6050510 6655561 12101020 13311122 15126275 24202040 26622244 30252550 33277805 53244488 60505100 61110151 66555610 121010200 122220302 133111220 166389025 244440604 266222440 305550755 332778050 488881208 611101510 665556100 672211661 1222203020 1331112200 1344423322 1527753775 2444406040 2688846644 3055507550 3361058305 5377693288 6111015100 6722116610 12222030200 13444233220 16805291525 26888466440 33610583050 67221166100 134442332200