Search a number
-
+
1045001196009 = 3241283112
BaseRepresentation
bin11110011010011101110…
…11001101000111101001
310200220022221010001011100
433031032323031013221
5114110130301233014
62120022242152013
7135333050415141
oct17151673150751
93626287101140
101045001196009
11373200a28581
1214a640952609
137770a508184
1438814d07921
151c2b233e009
hexf34eecd1e9

1045001196009 has 27 divisors (see below), whose sum is σ = 1547346058167. Its totient is φ = 679593794400.

The previous prime is 1045001195989. The next prime is 1045001196023. The reversal of 1045001196009 is 9006911005401.

The square root of 1045001196009 is 1022253.

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

1045001196009 is a `hidden beast` number, since 1 + 0 + 45 + 0 + 0 + 1 + 1 + 9 + 600 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 50354013609 + 994647182400 = 224397^2 + 997320^2 .

It is not a de Polignac number, because 1045001196009 - 237 = 907562242537 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1045001196209) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 125732964 + ... + 125741274.

Almost surely, 21045001196009 is an apocalyptic number.

1045001196009 is the 1022253-rd square number.

1045001196009 is the 511127-th centered octagonal number.

It is an amenable number.

1045001196009 is a deficient number, since it is larger than the sum of its proper divisors (502344862158).

1045001196009 is an frugal number, since it uses more digits than its factorization.

1045001196009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16710 (or 8355 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

Multiplying 1045001196009 by its sum of digits (36), we get a square (37620043056324 = 61335182).

The spelling of 1045001196009 in words is "one trillion, forty-five billion, one million, one hundred ninety-six thousand, nine".

Divisors: 1 3 9 41 123 369 1681 5043 8311 15129 24933 74799 340751 1022253 3066759 13970791 41912373 69072721 125737119 207218163 621654489 2831981561 8495944683 25487834049 116111244001 348333732003 1045001196009