Search a number
-
+
1144341211113 = 3517893112507
BaseRepresentation
bin10000101001110000000…
…011010010011111101001
311001101202002212200100000
4100221300003102133221
5122222102322223423
62233411511333213
7145450561542342
oct20516003223751
94041662780300
101144341211113
11401348865211
12165945681209
1383bac378bb9
143d55a4490c9
151eb7865c843
hex10a700d27e9

1144341211113 has 48 divisors (see below), whose sum is σ = 1835383717440. Its totient is φ = 709950168576.

The previous prime is 1144341211109. The next prime is 1144341211133. The reversal of 1144341211113 is 3111121434411.

1144341211113 is a `hidden beast` number, since 1 + 1 + 4 + 434 + 1 + 211 + 1 + 13 = 666.

It is not a de Polignac number, because 1144341211113 - 22 = 1144341211109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1144341211133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1188595 + ... + 1923912.

It is an arithmetic number, because the mean of its divisors is an integer number (38237160780).

Almost surely, 21144341211113 is an apocalyptic number.

It is an amenable number.

1144341211113 is a deficient number, since it is larger than the sum of its proper divisors (691042506327).

1144341211113 is an equidigital number, since it uses as much as digits as its factorization.

1144341211113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3112628 (or 3112616 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

Adding to 1144341211113 its reverse (3111121434411), we get a palindrome (4255462645524).

The spelling of 1144341211113 in words is "one trillion, one hundred forty-four billion, three hundred forty-one million, two hundred eleven thousand, one hundred thirteen".

Divisors: 1 3 9 17 27 51 81 89 153 243 267 459 801 1377 1513 2403 4131 4539 7209 13617 21627 40851 122553 367659 3112507 9337521 28012563 52912619 84037689 158737857 252113067 277013123 476213571 756339201 831039369 1428640713 2493118107 4285922139 4709223091 7479354321 12857766417 14127669273 22438062963 42383007819 67314188889 127149023457 381447070371 1144341211113