Search a number
-
+
44401144243131 = 32131114433405301
BaseRepresentation
bin10100001100001111100100…
…11011100010001110111011
312211012201010002021122201200
422012013302123202032323
521304432020411240011
6234233334251345243
712231606513623514
oct1206076233421673
9184181102248650
1044401144243131
1113169468431915
124b912a5452223
131ba1018aa3170
14ad7053955a0b
1551ee97c95856
hex2861f26e23bb

44401144243131 has 24 divisors (see below), whose sum is σ = 69069086648016. Its totient is φ = 27323527867200.

The previous prime is 44401144243129. The next prime is 44401144243139. The reversal of 44401144243131 is 13134244110444.

44401144243131 is a `hidden beast` number, since 4 + 4 + 40 + 1 + 1 + 442 + 43 + 131 = 666.

It is not a de Polignac number, because 44401144243131 - 21 = 44401144243129 is a prime.

It is a super-2 number, since 2×444011442431312 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (44401144243139) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11336181 + ... + 14741481.

It is an arithmetic number, because the mean of its divisors is an integer number (2877878610334).

Almost surely, 244401144243131 is an apocalyptic number.

44401144243131 is a deficient number, since it is larger than the sum of its proper divisors (24667942404885).

44401144243131 is a wasteful number, since it uses less digits than its factorization.

44401144243131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3516763 (or 3516760 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 44401144243131 its reverse (13134244110444), we get a palindrome (57535388353575).

The spelling of 44401144243131 in words is "forty-four trillion, four hundred one billion, one hundred forty-four million, two hundred forty-three thousand, one hundred thirty-one".

Divisors: 1 3 9 13 39 117 111443 334329 1002987 1448759 3405301 4346277 10215903 13038831 30647709 44268913 132806739 398420217 379496959343 1138490878029 3415472634087 4933460471459 14800381414377 44401144243131