Search a number
-
+
1053242361153 = 34172353732497
BaseRepresentation
bin11110101001110100010…
…00110000010101000001
310201200121021022121110000
433110322020300111001
5114224020021024103
62123504115030213
7136044220232523
oct17247210602501
93650537277400
101053242361153
1137674a944964
1215016089b369
13784219b9558
1438d9762ba13
151c5e5ac5aa3
hexf53a230541

1053242361153 has 40 divisors (see below), whose sum is σ = 1666034798472. Its totient is φ = 660809539584.

The previous prime is 1053242361053. The next prime is 1053242361179. The reversal of 1053242361153 is 3511632423501.

1053242361153 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 242 + 361 + 1 + 53 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 362177683344 + 691064677809 = 601812^2 + 831303^2 .

It is not a de Polignac number, because 1053242361153 - 221 = 1053240264001 is a prime.

It is a super-2 number, since 2×10532423611532 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1053242361053) 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 39 ways as a sum of consecutive naturals, for example, 32394201 + ... + 32426697.

Almost surely, 21053242361153 is an apocalyptic number.

It is an amenable number.

1053242361153 is a deficient number, since it is larger than the sum of its proper divisors (612792437319).

1053242361153 is a wasteful number, since it uses less digits than its factorization.

1053242361153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56063 (or 56054 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 1053242361153 its reverse (3511632423501), we get a palindrome (4564874784654).

The spelling of 1053242361153 in words is "one trillion, fifty-three billion, two hundred forty-two million, three hundred sixty-one thousand, one hundred fifty-three".

Divisors: 1 3 9 17 27 51 81 153 459 1377 23537 32497 70611 97491 211833 292473 400129 552449 635499 877419 1200387 1657347 1906497 2632257 3601161 4972041 10803483 14916123 32410449 44748369 764881889 2294645667 6883937001 13002992113 20651811003 39008976339 61955433009 117026929017 351080787051 1053242361153