Search a number
-
+
41061129280 = 265325739397
BaseRepresentation
bin100110001111011011…
…110001110001000000
310220222121202111012221
4212033123301301000
51133043122114110
630510242300424
72652350561113
oct461733616100
9126877674187
1041061129280
1116460a34196
127b5b357714
133b44b73702
141db74ac57a
151104c407da
hex98f6f1c40

41061129280 has 56 divisors (see below), whose sum is σ = 97809317208. Its totient is φ = 16418992128.

The previous prime is 41061129271. The next prime is 41061129281. The reversal of 41061129280 is 8292116014.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 14552079424 + 26509049856 = 120632^2 + 162816^2 .

It is not an unprimeable number, because it can be changed into a prime (41061129281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1022542 + ... + 1061938.

Almost surely, 241061129280 is an apocalyptic number.

41061129280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41061129280 is an abundant number, since it is smaller than the sum of its proper divisors (56748187928).

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

41061129280 is a wasteful number, since it uses less digits than its factorization.

41061129280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42671 (or 42661 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The spelling of 41061129280 in words is "forty-one billion, sixty-one million, one hundred twenty-nine thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 3257 6514 13028 16285 26056 32570 39397 52112 65140 78794 104224 130280 157588 196985 208448 260560 315176 393970 521120 630352 787940 1042240 1260704 1575880 2521408 3151760 6303520 12607040 128316029 256632058 513264116 641580145 1026528232 1283160290 2053056464 2566320580 4106112928 5132641160 8212225856 10265282320 20530564640 41061129280