Search a number
-
+
114440334312420 = 22335631335858233
BaseRepresentation
bin11010000001010100110111…
…011110011000001111100100
3120000012101111122221012222000
4122001110313132120033210
5104444442301040444140
61043221055214205300
733051020111443404
oct3201246736301744
9500171448835860
10114440334312420
11335119672a2056
1210a033784b3830
134bb18a5b1037c
142038d28196804
15d36cc80d8a30
hex6815377983e4

114440334312420 has 96 divisors (see below), whose sum is σ = 356600838531840. Its totient is φ = 30469058807040.

The previous prime is 114440334312371. The next prime is 114440334312463. The reversal of 114440334312420 is 24213433044411.

114440334312420 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 4 + 0 + 334 + 312 + 4 + 2 + 0 = 666.

114440334312420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 167588377 + ... + 168269856.

It is an arithmetic number, because the mean of its divisors is an integer number (3714592068040).

Almost surely, 2114440334312420 is an apocalyptic number.

114440334312420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114440334312420 is an abundant number, since it is smaller than the sum of its proper divisors (242160504219420).

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

114440334312420 is a wasteful number, since it uses less digits than its factorization.

114440334312420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335858882 (or 335858874 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 114440334312420 its reverse (24213433044411), we get a palindrome (138653767356831).

The spelling of 114440334312420 in words is "one hundred fourteen trillion, four hundred forty billion, three hundred thirty-four million, three hundred twelve thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 631 1262 1893 2524 3155 3786 5679 6310 7572 9465 11358 12620 17037 18930 22716 28395 34074 37860 56790 68148 85185 113580 170370 340740 335858233 671716466 1007574699 1343432932 1679291165 2015149398 3022724097 3358582330 4030298796 5037873495 6045448194 6717164660 9068172291 10075746990 12090896388 15113620485 18136344582 20151493980 30227240970 36272689164 45340861455 60454481940 90681722910 181363445820 211926545023 423853090046 635779635069 847706180092 1059632725115 1271559270138 1907338905207 2119265450230 2543118540276 3178898175345 3814677810414 4238530900460 5722016715621 6357796350690 7629355620828 9536694526035 11444033431242 12715592701380 19073389052070 22888066862484 28610083578105 38146778104140 57220167156210 114440334312420