Search a number
-
+
114240055240341 = 3225395391792723
BaseRepresentation
bin11001111110011010010101…
…111010010110011010010101
3112222111020112212112012112200
4121332122111322112122111
5104433202113120142331
61042545053514435113
733030400031432232
oct3176322572263225
9488436485465480
10114240055240341
1133444a31a50978
12109905a3432a99
134b98a38a3ccb4
14202d368dcc789
15d319a53db5e6
hex67e695e96695

114240055240341 has 24 divisors (see below), whose sum is σ = 165083246708640. Its totient is φ = 76127807732256.

The previous prime is 114240055240309. The next prime is 114240055240351. The reversal of 114240055240341 is 143042550042411.

114240055240341 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 400 + 5 + 5 + 240 + 3 + 4 + 1 = 666.

It is not a de Polignac number, because 114240055240341 - 25 = 114240055240309 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 114240055240296 and 114240055240305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114240055240351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1232011006 + ... + 1232103728.

It is an arithmetic number, because the mean of its divisors is an integer number (6878468612860).

Almost surely, 2114240055240341 is an apocalyptic number.

It is an amenable number.

114240055240341 is a deficient number, since it is larger than the sum of its proper divisors (50843191468299).

114240055240341 is a wasteful number, since it uses less digits than its factorization.

114240055240341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149185 (or 149182 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 114240055240341 in words is "one hundred fourteen trillion, two hundred forty billion, fifty-five million, two hundred forty thousand, three hundred forty-one".

Divisors: 1 3 9 2539 7617 22851 53917 92723 161751 278169 485253 834507 136895263 235423697 410685789 706271091 1232057367 2118813273 4999345991 14998037973 44994113919 12693339471149 38080018413447 114240055240341