Search a number
-
+
40241013442404 = 22319215795882993
BaseRepresentation
bin10010010011001010101110…
…10011111100011101100100
312021111000002102020102221020
421021211113103330131210
520233302043420124104
6221330244422451140
711322213553360065
oct1111452723743544
9167430072212836
1040241013442404
1111905133009615
12461ab89b93ab0
13195b932901a48
149d19655b456c
1549bb63b122d9
hex2499574fc764

40241013442404 has 72 divisors (see below), whose sum is σ = 99160452387360. Its totient is φ = 12699638362368.

The previous prime is 40241013442393. The next prime is 40241013442453. The reversal of 40241013442404 is 40424431014204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3898732 + ... + 9781724.

It is an arithmetic number, because the mean of its divisors is an integer number (1377228505380).

Almost surely, 240241013442404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40241013442404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49580226193680).

40241013442404 is an abundant number, since it is smaller than the sum of its proper divisors (58919438944956).

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

40241013442404 is a wasteful number, since it uses less digits than its factorization.

40241013442404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5884617 (or 5884596 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 40241013442404 its reverse (40424431014204), we get a palindrome (80665444456608).

The spelling of 40241013442404 in words is "forty trillion, two hundred forty-one billion, thirteen million, four hundred forty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 361 722 1083 1444 1579 2166 3158 4332 4737 6316 9474 18948 30001 60002 90003 120004 180006 360012 570019 1140038 1710057 2280076 3420114 5882993 6840228 11765986 17648979 23531972 35297958 70595916 111776867 223553734 335330601 447107468 670661202 1341322404 2123760473 4247520946 6371281419 8495041892 9289245947 12742562838 18578491894 25485125676 27867737841 37156983788 55735475682 111470951364 176495672993 352991345986 529487018979 705982691972 1058974037958 2117948075916 3353417786867 6706835573734 10060253360601 13413671147468 20120506721202 40241013442404