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1144123043211 = 321720369367123
BaseRepresentation
bin10000101001100011000…
…011000010110110001011
311001101011220100121020100
4100221203003002312023
5122221130444340321
62233334115300443
7145442302256331
oct20514303026613
94041156317210
101144123043211
114012466a3465
121658a45aa723
1383b76100375
143d539497b51
151eb64415326
hex10a630c2d8b

1144123043211 has 24 divisors (see below), whose sum is σ = 1749925915920. Its totient is φ = 717843926016.

The previous prime is 1144123043153. The next prime is 1144123043213. The reversal of 1144123043211 is 1123403214411.

It is a happy number.

1144123043211 is a `hidden beast` number, since 1 + 1 + 4 + 412 + 30 + 4 + 3 + 211 = 666.

It is a de Polignac number, because none of the positive numbers 2k-1144123043211 is a prime.

It is a super-4 number, since 4×11441230432114 (a number of 49 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (1144123043213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2932896 + ... + 3300018.

It is an arithmetic number, because the mean of its divisors is an integer number (72913579830).

Almost surely, 21144123043211 is an apocalyptic number.

1144123043211 is a deficient number, since it is larger than the sum of its proper divisors (605802872709).

1144123043211 is a wasteful number, since it uses less digits than its factorization.

1144123043211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387515 (or 387512 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 1144123043211 its reverse (1123403214411), we get a palindrome (2267526257622).

The spelling of 1144123043211 in words is "one trillion, one hundred forty-four billion, one hundred twenty-three million, forty-three thousand, two hundred eleven".

Divisors: 1 3 9 17 51 153 20369 61107 183321 346273 367123 1038819 1101369 3116457 3304107 6241091 18723273 56169819 7477928387 22433785161 67301355483 127124782579 381374347737 1144123043211