Search a number
-
+
114343440124401 = 32294785811086263
BaseRepresentation
bin11001111111111010101000…
…001000011000100111110001
3112222212010101221102110210200
4121333322220020120213301
5104441400331132440101
61043104352355345413
733041020016440335
oct3177725010304761
9488763357373720
10114343440124401
1133484865028514
12109a86368b2269
134ba57038b21c7
1420343758037c5
15d34506894986
hex67fea82189f1

114343440124401 has 48 divisors (see below), whose sum is σ = 174513786370560. Its totient is φ = 72025948874880.

The previous prime is 114343440124387. The next prime is 114343440124429. The reversal of 114343440124401 is 104421044343411.

114343440124401 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 4 + 3 + 4 + 401 + 244 + 0 + 1 = 666.

It is not a de Polignac number, because 114343440124401 - 27 = 114343440124273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114343440124471) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104719996 + ... + 105806258.

It is an arithmetic number, because the mean of its divisors is an integer number (3635703882720).

Almost surely, 2114343440124401 is an apocalyptic number.

It is an amenable number.

114343440124401 is a deficient number, since it is larger than the sum of its proper divisors (60170346246159).

114343440124401 is a wasteful number, since it uses less digits than its factorization.

114343440124401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094926 (or 1094923 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 114343440124401 its reverse (104421044343411), we get a palindrome (218764484467812).

The spelling of 114343440124401 in words is "one hundred fourteen trillion, three hundred forty-three billion, four hundred forty million, one hundred twenty-four thousand, four hundred one".

Divisors: 1 3 9 29 47 87 141 261 423 1363 4089 8581 12267 25743 77229 248849 403307 746547 1086263 1209921 2239641 3258789 3629763 9776367 11695903 31501627 35087709 51054361 94504881 105263127 153163083 283514643 459489249 1480576469 4441729407 9321222803 13325188221 27963668409 83891005227 270315461287 438097471741 810946383861 1314292415223 2432839151583 3942877245669 12704826680489 38114480041467 114343440124401