Search a number
-
+
12440085547644 = 2233206355834211
BaseRepresentation
bin1011010100000110111011…
…1000010100101001111100
31122001021000221200021121000
42311001232320110221330
53112304243400011034
642242521342410300
72422523626314246
oct265015670245174
948037027607530
1012440085547644
113a668a0a85477
12148ab7b590990
136c3130a33991
1431016385b096
151688dda9d599
hexb506ee14a7c

12440085547644 has 48 divisors (see below), whose sum is σ = 32267707799040. Its totient is φ = 4144685076720.

The previous prime is 12440085547639. The next prime is 12440085547697. The reversal of 12440085547644 is 44674558004421.

12440085547644 is a `hidden beast` number, since 1 + 2 + 4 + 40 + 0 + 8 + 554 + 7 + 6 + 44 = 666.

12440085547644 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×124400855476442 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27694302 + ... + 28139909.

It is an arithmetic number, because the mean of its divisors is an integer number (672243912480).

Almost surely, 212440085547644 is an apocalyptic number.

It is an amenable number.

12440085547644 is an abundant number, since it is smaller than the sum of its proper divisors (19827622251396).

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

12440085547644 is a wasteful number, since it uses less digits than its factorization.

12440085547644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55836287 (or 55836279 counting only the distinct ones).

The product of its (nonzero) digits is 17203200, while the sum is 54.

The spelling of 12440085547644 in words is "twelve trillion, four hundred forty billion, eighty-five million, five hundred forty-seven thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 2063 4126 6189 8252 12378 18567 24756 37134 55701 74268 111402 222804 55834211 111668422 167502633 223336844 335005266 502507899 670010532 1005015798 1507523697 2010031596 3015047394 6030094788 115185977293 230371954586 345557931879 460743909172 691115863758 1036673795637 1382231727516 2073347591274 3110021386911 4146695182548 6220042773822 12440085547644