Search a number
-
+
41233242420032 = 261349559185601
BaseRepresentation
bin10010110000000010111001…
…10001000111001101000000
312101222212012120010000202212
421120001130301013031000
520401031140024420112
6223410142353201252
711454001120463165
oct1130013461071500
9171885176100685
1041233242420032
1112157a13441373
12475b341560228
131a0137cc192a0
14a279b191a06c
154b788800d522
hex25805cc47340

41233242420032 has 28 divisors (see below), whose sum is σ = 88116232000356. Its totient is φ = 19030727270400.

The previous prime is 41233242419953. The next prime is 41233242420047. The reversal of 41233242420032 is 23002424233214.

It can be written as a sum of positive squares in 2 ways, for example, as 16998337393216 + 24234905026816 = 4122904^2 + 4922896^2 .

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

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 24779591969 + ... + 24779593632.

It is an arithmetic number, because the mean of its divisors is an integer number (3147008285727).

Almost surely, 241233242420032 is an apocalyptic number.

It is an amenable number.

41233242420032 is an abundant number, since it is smaller than the sum of its proper divisors (46882989580324).

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

41233242420032 is a wasteful number, since it uses less digits than its factorization.

41233242420032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49559185626 (or 49559185616 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 41233242420032 its reverse (23002424233214), we get a palindrome (64235666653246).

The spelling of 41233242420032 in words is "forty-one trillion, two hundred thirty-three billion, two hundred forty-two million, four hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 49559185601 99118371202 198236742404 396473484808 644269412813 792946969616 1288538825626 1585893939232 2577077651252 3171787878464 5154155302504 10308310605008 20616621210016 41233242420032