Search a number
-
+
11400181871238 = 2333125717264811
BaseRepresentation
bin1010010111100100111111…
…0010100111001010000110
31111100211212021110001202000
42211321033302213022012
52443240033024334423
640125100553530130
72254431064025226
oct245711762471206
944324767401660
1011400181871238
1136a5876511916
121341521a13946
1364905663cbc4
142b5ab395c086
1514b82902a843
hexa5e4fca7286

11400181871238 has 64 divisors (see below), whose sum is σ = 26152070461440. Its totient is φ = 3677321138400.

The previous prime is 11400181871231. The next prime is 11400181871291. The reversal of 11400181871238 is 83217818100411.

11400181871238 is a `hidden beast` number, since 1 + 1 + 400 + 1 + 8 + 1 + 8 + 7 + 1 + 238 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11400181871193 and 11400181871202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11400181871231) by changing a digit.

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, 42917853 + ... + 43182663.

It is an arithmetic number, because the mean of its divisors is an integer number (408626100960).

Almost surely, 211400181871238 is an apocalyptic number.

11400181871238 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

11400181871238 is an abundant number, since it is smaller than the sum of its proper divisors (14751888590202).

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

11400181871238 is a wasteful number, since it uses less digits than its factorization.

11400181871238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290570 (or 290564 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 45.

Adding to 11400181871238 its reverse (83217818100411), we get a palindrome (94617999971649).

The spelling of 11400181871238 in words is "eleven trillion, four hundred billion, one hundred eighty-one million, eight hundred seventy-one thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 558 837 1674 25717 51434 77151 154302 231453 264811 462906 529622 694359 794433 797227 1388718 1588866 1594454 2383299 2391681 4766598 4783362 7149897 7175043 8209141 14299794 14350086 16418282 21525129 24627423 43050258 49254846 73882269 147764538 221646807 443293614 6810144487 13620288974 20430433461 40860866922 61291300383 122582600766 183873901149 211114479097 367747802298 422228958194 633343437291 1266686874582 1900030311873 3800060623746 5700090935619 11400181871238