Search a number
-
+
114240020034312 = 23323067517335163
BaseRepresentation
bin11001111110011010010011…
…110100000011001100001000
3112222111020110102021112221200
4121332122103310003030020
5104433202030112044222
61042545050220104200
733030366123251604
oct3176322364031410
9488436412245850
10114240020034312
1133444a14095087
1210990593695060
134b98a31664523
14202d364466504
15d319a2284eac
hex67e693d03308

114240020034312 has 48 divisors (see below), whose sum is σ = 309500935214640. Its totient is φ = 38067590560608.

The previous prime is 114240020034311. The next prime is 114240020034319. The reversal of 114240020034312 is 213430020042411.

114240020034312 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 400 + 200 + 3 + 43 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (114240020034311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 258446758 + ... + 258888405.

It is an arithmetic number, because the mean of its divisors is an integer number (6447936150305).

Almost surely, 2114240020034312 is an apocalyptic number.

114240020034312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114240020034312 is an abundant number, since it is smaller than the sum of its proper divisors (195260915180328).

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

114240020034312 is a wasteful number, since it uses less digits than its factorization.

114240020034312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517338242 (or 517338235 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 114240020034312 its reverse (213430020042411), we get a palindrome (327670040076723).

The spelling of 114240020034312 in words is "one hundred fourteen trillion, two hundred forty billion, twenty million, thirty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3067 6134 9201 12268 18402 24536 27603 36804 55206 73608 110412 220824 517335163 1034670326 1552005489 2069340652 3104010978 4138681304 4656016467 6208021956 9312032934 12416043912 18624065868 37248131736 1586666944921 3173333889842 4760000834763 6346667779684 9520001669526 12693335559368 14280002504289 19040003339052 28560005008578 38080006678104 57120010017156 114240020034312