Search a number
-
+
40424003141140 = 22531311095822821
BaseRepresentation
bin10010011000011111100100…
…10110001111111000010100
312022010111102021122021211201
421030033302112033320110
520244301324301004030
6221550310343042244
711341352324220043
oct1114176226177024
9168114367567751
1040424003141140
11119757a5a156a3
12464a538a40384
131972c75a61aa8
149da76449455a
154a17c3a272ca
hex24c3f258fe14

40424003141140 has 48 divisors (see below), whose sum is σ = 85238427954960. Its totient is φ = 16103404661760.

The previous prime is 40424003141117. The next prime is 40424003141143. The reversal of 40424003141140 is 4114130042404.

40424003141140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 15208159255696 + 25215843885444 = 3899764^2 + 5021538^2 .

It is a junction number, because it is equal to n+sod(n) for n = 40424003141099 and 40424003141108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40424003141143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4030930 + ... + 9853750.

It is an arithmetic number, because the mean of its divisors is an integer number (1775800582395).

Almost surely, 240424003141140 is an apocalyptic number.

It is an amenable number.

40424003141140 is an abundant number, since it is smaller than the sum of its proper divisors (44814424813820).

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

40424003141140 is a wasteful number, since it uses less digits than its factorization.

40424003141140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5824252 (or 5824250 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 40424003141140 its reverse (4114130042404), we get a palindrome (44538133183544).

The spelling of 40424003141140 in words is "forty trillion, four hundred twenty-four billion, three million, one hundred forty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 313 626 1109 1252 1565 2218 3130 4436 5545 6260 11090 22180 347117 694234 1388468 1735585 3471170 5822821 6942340 11645642 23291284 29114105 58228210 116456420 1822542973 3645085946 6457508489 7290171892 9112714865 12915016978 18225429730 25830033956 32287542445 36450859460 64575084890 129150169780 2021200157057 4042400314114 8084800628228 10106000785285 20212001570570 40424003141140