Search a number
-
+
114010212342 = 231323173336671
BaseRepresentation
bin110101000101110001…
…0011100011111110110
3101220021120022212112010
41222023202130133312
53331443103243332
6124213042305050
711144164546425
oct1521342343766
9356246285463
10114010212342
1144395879a94
121a119958186
13a99c285a10
145737a352bc
152e741d89cc
hex1a8b89c7f6

114010212342 has 64 divisors (see below), whose sum is σ = 256391847936. Its totient is φ = 33534568320.

The previous prime is 114010212313. The next prime is 114010212361. The reversal of 114010212342 is 243212010411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3090667 + ... + 3127337.

It is an arithmetic number, because the mean of its divisors is an integer number (4006122624).

Almost surely, 2114010212342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114010212342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128195923968).

114010212342 is an abundant number, since it is smaller than the sum of its proper divisors (142381635594).

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

114010212342 is a wasteful number, since it uses less digits than its factorization.

114010212342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38445.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 114010212342 its reverse (243212010411), we get a palindrome (357222222753).

The spelling of 114010212342 in words is "one hundred fourteen billion, ten million, two hundred twelve thousand, three hundred forty-two".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 138 299 598 897 1733 1794 3466 5199 10398 22529 36671 39859 45058 67587 73342 79718 110013 119577 135174 220026 239154 476723 518167 843433 953446 1036334 1430169 1554501 1686866 2530299 2860338 3109002 5060598 10964629 21929258 32893887 63550843 65787774 127101686 190652529 381305058 826160959 1461669389 1652321918 2478482877 2923338778 4385008167 4956965754 8770016334 19001702057 38003404114 57005106171 114010212342