Search a number
-
+
45241310003013 = 32179371999157867
BaseRepresentation
bin10100100100101100100000…
…01101100011111101000101
312221012000201200101102000200
422102112100031203331011
521412213200330044023
6240115323151401113
712346401560015355
oct1222262015437505
9187160650342020
1045241310003013
1113462806070493
1250a809b223199
131c3231125b457
14b259964b6b65
15536c6c3b3743
hex292590363f45

45241310003013 has 48 divisors (see below), whose sum is σ = 69301526112000. Its totient is φ = 28342044177408.

The previous prime is 45241310003009. The next prime is 45241310003179. The reversal of 45241310003013 is 31030001314254.

It is a happy number.

45241310003013 is a `hidden beast` number, since 4 + 5 + 2 + 41 + 310 + 0 + 0 + 301 + 3 = 666.

It is not a de Polignac number, because 45241310003013 - 22 = 45241310003009 is a prime.

It is a super-2 number, since 2×452413100030132 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45241310003003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 286499706 + ... + 286657572.

It is an arithmetic number, because the mean of its divisors is an integer number (1443781794000).

Almost surely, 245241310003013 is an apocalyptic number.

It is an amenable number.

45241310003013 is a deficient number, since it is larger than the sum of its proper divisors (24060216108987).

45241310003013 is a wasteful number, since it uses less digits than its factorization.

45241310003013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160826 (or 160823 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 45241310003013 its reverse (31030001314254), we get a palindrome (76271311317267).

The spelling of 45241310003013 in words is "forty-five trillion, two hundred forty-one billion, three hundred ten million, three thousand, thirteen".

Divisors: 1 3 9 17 51 153 937 1999 2811 5997 8433 15929 17991 33983 47787 101949 143361 157867 305847 473601 1420803 1873063 2683739 5619189 8051217 16857567 24153651 31842071 95526213 147921379 286578639 315576133 443764137 946728399 1331292411 2514663443 2840185197 5364794261 7543990329 16094382783 22631970987 48283148349 295694836621 887084509863 2661253529589 5026812222557 15080436667671 45241310003013