Search a number
-
+
40434440131040 = 2551151219561469
BaseRepresentation
bin10010011000110011000000…
…11100001101000111100000
312022011111100122200022102012
421030121200130031013200
520244434213133143130
6221555154140012052
711342202056164034
oct1114314034150740
9168144318608365
1040434440131040
111197a17136a68a
124650570231028
131973c4a142267
149db07468a1c4
154a1bd4e53995
hex24c66070d1e0

40434440131040 has 48 divisors (see below), whose sum is σ = 95609359480320. Its totient is φ = 16159724044800.

The previous prime is 40434440131021. The next prime is 40434440131093. The reversal of 40434440131040 is 4013104443404.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 40434440130988 and 40434440131006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109596575 + ... + 109964894.

It is an arithmetic number, because the mean of its divisors is an integer number (1991861655840).

Almost surely, 240434440131040 is an apocalyptic number.

40434440131040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40434440131040 is an abundant number, since it is smaller than the sum of its proper divisors (55174919349280).

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

40434440131040 is a wasteful number, since it uses less digits than its factorization.

40434440131040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219562635 (or 219562627 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 40434440131040 its reverse (4013104443404), we get a palindrome (44447544574444).

The spelling of 40434440131040 in words is "forty trillion, four hundred thirty-four billion, four hundred forty million, one hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1151 2302 4604 5755 9208 11510 18416 23020 36832 46040 92080 184160 219561469 439122938 878245876 1097807345 1756491752 2195614690 3512983504 4391229380 7025967008 8782458760 17564917520 35129835040 252715250819 505430501638 1010861003276 1263576254095 2021722006552 2527152508190 4043444013104 5054305016380 8086888026208 10108610032760 20217220065520 40434440131040