Search a number
-
+
2441012430132 = 22321912728100249
BaseRepresentation
bin100011100001010111101…
…011011100010100110100
322122100200100112112111200
4203201113223130110310
5304443143140231012
65105215143532500
7341233364211153
oct43412753342464
98570610475450
102441012430132
11861255974a41
1233510215a130
13149256924b43
148620788559a
154376a1e73dc
hex23857adc534

2441012430132 has 72 divisors (see below), whose sum is σ = 6546234240000. Its totient is φ = 764776349568.

The previous prime is 2441012430127. The next prime is 2441012430139. The reversal of 2441012430132 is 2310342101442.

2441012430132 is a `hidden beast` number, since 2 + 4 + 410 + 1 + 243 + 0 + 1 + 3 + 2 = 666.

2441012430132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2441012430096 and 2441012430105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2441012430139) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13963257 + ... + 14136992.

It is an arithmetic number, because the mean of its divisors is an integer number (90919920000).

Almost surely, 22441012430132 is an apocalyptic number.

It is an amenable number.

2441012430132 is an abundant number, since it is smaller than the sum of its proper divisors (4105221809868).

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

2441012430132 is a wasteful number, since it uses less digits than its factorization.

2441012430132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28100405 (or 28100400 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2441012430132 its reverse (2310342101442), we get a palindrome (4751354531574).

The spelling of 2441012430132 in words is "two trillion, four hundred forty-one billion, twelve million, four hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 127 171 228 254 342 381 508 684 762 1143 1524 2286 2413 4572 4826 7239 9652 14478 21717 28956 43434 86868 28100249 56200498 84300747 112400996 168601494 252902241 337202988 505804482 533904731 1011608964 1067809462 1601714193 2135618924 3203428386 3568731623 4805142579 6406856772 7137463246 9610285158 10706194869 14274926492 19220570316 21412389738 32118584607 42824779476 64237169214 67805900837 128474338428 135611801674 203417702511 271223603348 406835405022 610253107533 813670810044 1220506215066 2441012430132