Search a number
-
+
41354414240 = 255258465089
BaseRepresentation
bin100110100000111010…
…100100100010100000
310221202001121220112212
4212200322210202200
51134143212223430
630555320341252
72662541502236
oct464072444240
9127661556485
1041354414240
11165a1541557
128021614828
133b9085cbc9
142004414956
151120874b95
hex9a0ea48a0

41354414240 has 24 divisors (see below), whose sum is σ = 97699804020. Its totient is φ = 16541765632.

The previous prime is 41354414239. The next prime is 41354414263. The reversal of 41354414240 is 4241445314.

It can be written as a sum of positive squares in 2 ways, for example, as 40799152144 + 555262096 = 201988^2 + 23564^2 .

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 = 41354414197 and 41354414206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 129232385 + ... + 129232704.

Almost surely, 241354414240 is an apocalyptic number.

41354414240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41354414240 is an abundant number, since it is smaller than the sum of its proper divisors (56345389780).

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

41354414240 is a wasteful number, since it uses less digits than its factorization.

41354414240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258465104 (or 258465096 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

Adding to 41354414240 its reverse (4241445314), we get a palindrome (45595859554).

The spelling of 41354414240 in words is "forty-one billion, three hundred fifty-four million, four hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 258465089 516930178 1033860356 1292325445 2067720712 2584650890 4135441424 5169301780 8270882848 10338603560 20677207120 41354414240