Search a number
-
+
111400434240 = 2635176826007
BaseRepresentation
bin110011110111111111…
…0111011101001000000
3101122112200120101222220
41213233332323221000
53311122002343430
6123102053531040
711022415032054
oct1475776735100
9348480511886
10111400434240
1143276706087
121970b943a80
13a67469b214
14556b1a9c64
152d70026110
hex19effbba40

111400434240 has 112 divisors (see below), whose sum is σ = 374502102912. Its totient is φ = 27959320576.

The previous prime is 111400434199. The next prime is 111400434259. The reversal of 111400434240 is 42434004111.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 111400434240.

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 15 ways as a sum of consecutive naturals, for example, 3396684 + ... + 3429323.

It is an arithmetic number, because the mean of its divisors is an integer number (3343768776).

Almost surely, 2111400434240 is an apocalyptic number.

111400434240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111400434240 is an abundant number, since it is smaller than the sum of its proper divisors (263101668672).

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

111400434240 is a wasteful number, since it uses less digits than its factorization.

111400434240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6826044 (or 6826034 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 111400434240 its reverse (42434004111), we get a palindrome (153834438351).

The spelling of 111400434240 in words is "one hundred eleven billion, four hundred million, four hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 136 160 170 192 204 240 255 272 320 340 408 480 510 544 680 816 960 1020 1088 1360 1632 2040 2720 3264 4080 5440 8160 16320 6826007 13652014 20478021 27304028 34130035 40956042 54608056 68260070 81912084 102390105 109216112 116042119 136520140 163824168 204780210 218432224 232084238 273040280 327648336 348126357 409560420 436864448 464168476 546080560 580210595 655296672 696252714 819120840 928336952 1092161120 1160421190 1310593344 1392505428 1638241680 1740631785 1856673904 2184322240 2320842380 2785010856 3276483360 3481263570 3713347808 4641684760 5570021712 6552966720 6962527140 7426695616 9283369520 11140043424 13925054280 18566739040 22280086848 27850108560 37133478080 55700217120 111400434240