Search a number
-
+
114200342010 = 23253734294397
BaseRepresentation
bin110101001011011011…
…1101110110111111010
3101220202211002110101200
41222112313232313322
53332340241421020
6124243553355030
711151663614346
oct1522667566772
9356684073350
10114200342010
1144483130247
121a171568a76
13a9cc795491
145754da8626
152e85c43590
hex1a96deedfa

114200342010 has 48 divisors (see below), whose sum is σ = 304945787016. Its totient is φ = 29630358144.

The previous prime is 114200341999. The next prime is 114200342051. The reversal of 114200342010 is 10243002411.

114200342010 is a `hidden beast` number, since 11 + 420 + 0 + 34 + 201 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 107382702249 + 6817639761 = 327693^2 + 82569^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17143869 + ... + 17150528.

Almost surely, 2114200342010 is an apocalyptic number.

114200342010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114200342010 is an abundant number, since it is smaller than the sum of its proper divisors (190745445006).

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

114200342010 is a wasteful number, since it uses less digits than its factorization.

114200342010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34294447 (or 34294444 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 114200342010 its reverse (10243002411), we get a palindrome (124443344421).

The spelling of 114200342010 in words is "one hundred fourteen billion, two hundred million, three hundred forty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 34294397 68588794 102883191 171471985 205766382 308649573 342943970 514415955 617299146 1028831910 1268892689 1543247865 2537785378 3086495730 3806678067 6344463445 7613356134 11420034201 12688926890 19033390335 22840068402 38066780670 57100171005 114200342010