Search a number
-
+
11400343503021 = 32112231539129573
BaseRepresentation
bin1010010111100101100101…
…1011001100000010101101
31111100212021112120210212100
42211321121123030002231
52443240400414044041
640125125010125313
72254435065622014
oct245713133140255
944325245523770
1011400343503021
1136a5949779200
121341567b80839
13649080c82305
142b5acb1d3a7b
1514b8383066b6
hexa5e596cc0ad

11400343503021 has 72 divisors (see below), whose sum is σ = 18889104019968. Its totient is φ = 6608241921600.

The previous prime is 11400343503007. The next prime is 11400343503047. The reversal of 11400343503021 is 12030534300411.

It is a happy number.

11400343503021 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 0 + 3 + 4 + 350 + 302 + 1 = 666.

11400343503021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11400343503021 - 213 = 11400343494829 is a prime.

It is a super-2 number, since 2×114003435030212 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11400343503421) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 385483591 + ... + 385513163.

It is an arithmetic number, because the mean of its divisors is an integer number (262348666944).

Almost surely, 211400343503021 is an apocalyptic number.

11400343503021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11400343503021 is a deficient number, since it is larger than the sum of its proper divisors (7488760516947).

11400343503021 is a wasteful number, since it uses less digits than its factorization.

11400343503021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45015 (or 45001 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 11400343503021 its reverse (12030534300411), we get a palindrome (23430877803432).

The spelling of 11400343503021 in words is "eleven trillion, four hundred billion, three hundred forty-three million, five hundred three thousand, twenty-one".

Divisors: 1 3 9 11 23 33 69 99 121 207 253 363 759 1089 2277 2783 8349 15391 25047 29573 46173 88719 138519 169301 266157 325303 353993 507903 680179 975909 1061979 1523709 1862311 2040537 2927727 3185937 3578333 3893923 5586933 6121611 7481969 10734999 11681769 16760799 22445907 32204997 35045307 42833153 67337721 82301659 128499459 246904977 385498377 455158043 740714931 1365474129 4096422387 5006738473 10468634989 15020215419 31405904967 45060646257 55074123203 94217714901 115154984879 165222369609 345464954637 495667108827 1036394863911 1266704833669 3800114501007 11400343503021