Search a number
-
+
114031224312 = 233127205318223
BaseRepresentation
bin110101000110011001…
…0100110010111111000
3101220100000212101112020
41222030302212113320
53332013443134222
6124215112514440
711144541262005
oct1521462462770
9356300771466
10114031224312
11443a6720655
121a1249aba20
13a9a3731935
14573a7448ac
152e75e8965c
hex1a8cca65f8

114031224312 has 64 divisors (see below), whose sum is σ = 287478497280. Its totient is φ = 37690676352.

The previous prime is 114031224299. The next prime is 114031224317. The reversal of 114031224312 is 213422130411.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114031224317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6248433 + ... + 6266655.

It is an arithmetic number, because the mean of its divisors is an integer number (4491851520).

Almost surely, 2114031224312 is an apocalyptic number.

114031224312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114031224312 is an abundant number, since it is smaller than the sum of its proper divisors (173447272968).

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

114031224312 is a wasteful number, since it uses less digits than its factorization.

114031224312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20412 (or 20408 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 114031224312 its reverse (213422130411), we get a palindrome (327453354723).

The spelling of 114031224312 in words is "one hundred fourteen billion, thirty-one million, two hundred twenty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 127 254 381 508 762 1016 1524 2053 3048 4106 6159 8212 12318 16424 18223 24636 36446 49272 54669 72892 109338 145784 218676 260731 437352 521462 782193 1042924 1564386 2085848 2314321 3128772 4628642 6257544 6942963 9257284 13885926 18514568 27771852 37411819 55543704 74823638 112235457 149647276 224470914 299294552 448941828 897883656 4751301013 9502602026 14253903039 19005204052 28507806078 38010408104 57015612156 114031224312