Search a number
-
+
1144131004341 = 33133259632491
BaseRepresentation
bin10000101001100011100…
…001011010011110110101
311001101012110100001212000
4100221203201122132311
5122221140014114331
62233335002045513
7145442430034533
oct20514341323665
94041173301760
101144131004341
11401250140806
121658a71a9899
1383b77959bb0
143d53a56b153
151eb64e890e6
hex10a6385a7b5

1144131004341 has 16 divisors (see below), whose sum is σ = 1825394195520. Its totient is φ = 704080617840.

The previous prime is 1144131004297. The next prime is 1144131004363. The reversal of 1144131004341 is 1434001314411.

1144131004341 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 1 + 310 + 0 + 4 + 341 = 666.

It is not a de Polignac number, because 1144131004341 - 210 = 1144131003317 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144131004381) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1629815895 + ... + 1629816596.

It is an arithmetic number, because the mean of its divisors is an integer number (114087137220).

Almost surely, 21144131004341 is an apocalyptic number.

It is an amenable number.

1144131004341 is a deficient number, since it is larger than the sum of its proper divisors (681263191179).

1144131004341 is a wasteful number, since it uses less digits than its factorization.

1144131004341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3259632513 (or 3259632507 counting only the distinct ones).

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

Adding to 1144131004341 its reverse (1434001314411), we get a palindrome (2578132318752).

The spelling of 1144131004341 in words is "one trillion, one hundred forty-four billion, one hundred thirty-one million, four thousand, three hundred forty-one".

Divisors: 1 3 9 13 27 39 117 351 3259632491 9778897473 29336692419 42375222383 88010077257 127125667149 381377001447 1144131004341