Search a number
-
+
1090042490601 = 323480172
BaseRepresentation
bin11111101110010111001…
…10000110111011101001
310212012120221020212202100
433313023212012323221
5120324401334144401
62152431505324013
7141516161202621
oct17671346067351
93765527225670
101090042490601
11390314628889
12157311036609
137ba37b4718c
143aa88c45881
151d54b6d7b86
hexfdcb986ee9

1090042490601 has 9 divisors (see below), whose sum is σ = 1574510343991. Its totient is φ = 726692905632.

The previous prime is 1090042490587. The next prime is 1090042490627. The reversal of 1090042490601 is 1060942400901.

It is a happy number.

The square root of 1090042490601 is 1044051.

It is a perfect power (a square), and thus also a powerful number.

1090042490601 is a `hidden beast` number, since 1 + 0 + 9 + 0 + 0 + 4 + 2 + 49 + 0 + 601 = 666.

It can be written as a sum of positive squares in only one way, i.e., 364097594025 + 725944896576 = 603405^2 + 852024^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 1090042490601 - 213 = 1090042482409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1090042490401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2958145 + ... + 3306161.

Almost surely, 21090042490601 is an apocalyptic number.

1090042490601 is the 1044051-st square number.

1090042490601 is the 522026-th centered octagonal number.

It is an amenable number.

1090042490601 is a deficient number, since it is larger than the sum of its proper divisors (484467853390).

1090042490601 is an frugal number, since it uses more digits than its factorization.

1090042490601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696040 (or 348020 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

Multiplying 1090042490601 by its sum of digits (36), we get a square (39241529661636 = 62643062).

The spelling of 1090042490601 in words is "one trillion, ninety billion, forty-two million, four hundred ninety thousand, six hundred one".

Divisors: 1 3 9 348017 1044051 3132153 121115832289 363347496867 1090042490601