Search a number
-
+
114130246055310 = 23255979847269183
BaseRepresentation
bin11001111100110100000100…
…110001100011010110001110
3112222002202010002011122002200
4121330310010301203112032
5104424402220442232220
61042422413342502330
733016431614652522
oct3174640461432616
9488082102148080
10114130246055310
113340240258a991
12109732585949a6
134b8b588c32774
142027d0d2b9d82
15d2dbc9e36890
hex67cd04c6358e

114130246055310 has 96 divisors (see below), whose sum is σ = 301773008609280. Its totient is φ = 29918403513024.

The previous prime is 114130246055281. The next prime is 114130246055321. The reversal of 114130246055310 is 13550642031411.

114130246055310 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 30 + 2 + 4 + 60 + 553 + 10 = 666.

It is a super-2 number, since 2×1141302460553102 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 423852979 + ... + 424122161.

It is an arithmetic number, because the mean of its divisors is an integer number (3143468839680).

Almost surely, 2114130246055310 is an apocalyptic number.

114130246055310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114130246055310 is an abundant number, since it is smaller than the sum of its proper divisors (187642762553970).

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

114130246055310 is a wasteful number, since it uses less digits than its factorization.

114130246055310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349102 (or 349099 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 114130246055310 its reverse (13550642031411), we get a palindrome (127680888086721).

The spelling of 114130246055310 in words is "one hundred fourteen trillion, one hundred thirty billion, two hundred forty-six million, fifty-five thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 59 90 118 177 295 354 531 590 885 1062 1770 2655 5310 79847 159694 239541 269183 399235 479082 538366 718623 798470 807549 1197705 1345915 1437246 1615098 2395410 2422647 2691830 3593115 4037745 4710973 4845294 7186230 8075490 9421946 12113235 14132919 15881797 23554865 24226470 28265838 31763594 42398757 47109730 47645391 70664595 79408985 84797514 95290782 141329190 142936173 158817970 211993785 238226955 285872346 423987570 476453910 714680865 1429361730 21493455001 42986910002 64480365003 107467275005 128960730006 193441095009 214934550010 322401825015 386882190018 644803650030 967205475045 1268113845059 1934410950090 2536227690118 3804341535177 6340569225295 7608683070354 11413024605531 12681138450590 19021707675885 22826049211062 38043415351770 57065123027655 114130246055310