Search a number
-
+
41110234841088 = 214327271127631
BaseRepresentation
bin10010101100011101110001…
…11100011100000000000000
312101120002200221122120120200
421112032320330130000000
520342022230104403323
6223233440422005200
711442054641351100
oct1126167074340000
9171502627576520
1041110234841088
111210a83090a716
12473b532576800
1319c28a88c5b0a
14a21a62d97200
154b4588eb8443
hex2563b8f1c000

41110234841088 has 1080 divisors, whose sum is σ = 141421172465664. Its totient is φ = 11470956134400.

The previous prime is 41110234841059. The next prime is 41110234841111. The reversal of 41110234841088 is 88014843201114.

41110234841088 is a `hidden beast` number, since 4 + 1 + 110 + 2 + 3 + 48 + 410 + 88 = 666.

It is a super-2 number, since 2×411102348410882 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 65150926533 + ... + 65150927163.

Almost surely, 241110234841088 is an apocalyptic number.

41110234841088 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41110234841088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70710586232832).

41110234841088 is an abundant number, since it is smaller than the sum of its proper divisors (100310937624576).

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

41110234841088 is a wasteful number, since it uses less digits than its factorization.

41110234841088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 41110234841088 in words is "forty-one trillion, one hundred ten billion, two hundred thirty-four million, eight hundred forty-one thousand, eighty-eight".