Search a number
-
+
1004145042114 = 232169732873209
BaseRepresentation
bin11101001110010111011…
…01010110001011000010
310112222212121001101022100
432213023231112023002
5112422442112321424
62045144201051230
7132355436012634
oct16471355261302
93488777041270
101004145042114
11357945775435
1214273a186b16
13738c8c71596
143685ab54a54
151b1c05dbdc9
hexe9cbb562c2

1004145042114 has 24 divisors (see below), whose sum is σ = 2176929712620. Its totient is φ = 334517764608.

The previous prime is 1004145042091. The next prime is 1004145042167. The reversal of 1004145042114 is 4112405414001.

It is a happy number.

1004145042114 is a `hidden beast` number, since 1 + 0 + 0 + 41 + 4 + 504 + 2 + 114 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1004070133089 + 74909025 = 1002033^2 + 8655^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16406059 + ... + 16467150.

Almost surely, 21004145042114 is an apocalyptic number.

1004145042114 is an abundant number, since it is smaller than the sum of its proper divisors (1172784670506).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1004145042114 is a wasteful number, since it uses less digits than its factorization.

1004145042114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32874914 (or 32874911 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The spelling of 1004145042114 in words is "one trillion, four billion, one hundred forty-five million, forty-two thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 1697 3394 5091 10182 15273 30546 32873209 65746418 98619627 197239254 295858881 591717762 55785835673 111571671346 167357507019 334715014038 502072521057 1004145042114