Search a number
-
+
41112253413396 = 22341167619278143
BaseRepresentation
bin10010101100100001100010…
…10000101011100000010100
312101120021220121221200020000
421112100301100223200110
520342040343333212041
6223234413011011300
711442155652054414
oct1126206120534024
9171507817850200
1041112253413396
11121106772919a0
12473b9b6599b30
1319c2b3ab737b9
14a21bb50c8644
154b46562e8bb6
hex25643142b814

41112253413396 has 240 divisors, whose sum is σ = 119188664770560. Its totient is φ = 12252444367680.

The previous prime is 41112253413353. The next prime is 41112253413487. The reversal of 41112253413396 is 69331435221114.

41112253413396 is a `hidden beast` number, since 4 + 1 + 1 + 1 + 2 + 253 + 4 + 1 + 3 + 396 = 666.

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 79 ways as a sum of consecutive naturals, for example, 147670701 + ... + 147948843.

It is an arithmetic number, because the mean of its divisors is an integer number (496619436544).

Almost surely, 241112253413396 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41112253413396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59594332385280).

41112253413396 is an abundant number, since it is smaller than the sum of its proper divisors (78076411357164).

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

41112253413396 is a wasteful number, since it uses less digits than its factorization.

41112253413396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278856 (or 278845 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The spelling of 41112253413396 in words is "forty-one trillion, one hundred twelve billion, two hundred fifty-three million, four hundred thirteen thousand, three hundred ninety-six".