Search a number
-
+
114402214134 = 23413383141833
BaseRepresentation
bin110101010001011100…
…1110100000011110110
3101221021212221121220000
41222202321310003312
53333243431323014
6124320004252130
711156664526665
oct1524271640366
9357255847800
10114402214134
114457708180a
121a2090a1046
13aa32556940
145773b16ddc
152e9881c509
hex1aa2e740f6

114402214134 has 80 divisors (see below), whose sum is σ = 276787348992. Its totient is φ = 35108525952.

The previous prime is 114402214123. The next prime is 114402214159. The reversal of 114402214134 is 431412204411.

114402214134 is a `hidden beast` number, since 1 + 1 + 440 + 2 + 214 + 1 + 3 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 114402214098 and 114402214107.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 735682 + ... + 877514.

Almost surely, 2114402214134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114402214134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138393674496).

114402214134 is an abundant number, since it is smaller than the sum of its proper divisors (162385134858).

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

114402214134 is a wasteful number, since it uses less digits than its factorization.

114402214134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142243 (or 142234 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 114402214134 its reverse (431412204411), we get a palindrome (545814418545).

The spelling of 114402214134 in words is "one hundred fourteen billion, four hundred two million, two hundred fourteen thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 351 383 702 766 1053 1149 2106 2298 3447 4979 6894 9958 10341 14937 20682 29874 31023 44811 62046 89622 134433 141833 268866 283666 403299 425499 806598 850998 1276497 1843829 2552994 3687658 3829491 5531487 7658982 11062974 11488473 16594461 22976946 33188922 49783383 54322039 99566766 108644078 149350149 162966117 298700298 325932234 488898351 706186507 977796702 1412373014 1466695053 2118559521 2933390106 4237119042 4400085159 6355678563 8800170318 12711357126 19067035689 38134071378 57201107067 114402214134