Search a number
-
+
41959301120 = 213511234049
BaseRepresentation
bin100111000100111110…
…000010000000000000
311000022012211100100122
4213010332002000000
51141413040113440
631135325235412
73013535113652
oct470476020000
9130265740318
1041959301120
1116881a27a70
128170102b68
133c58c79c39
1420608b06d2
151158a0a7b5
hex9c4f82000

41959301120 has 224 divisors, whose sum is σ = 114654787200. Its totient is φ = 14590935040.

The previous prime is 41959301101. The next prime is 41959301159. The reversal of 41959301120 is 2110395914.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10360856 + ... + 10364904.

Almost surely, 241959301120 is an apocalyptic number.

41959301120 is a gapful number since it is divisible by the number (40) 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 41959301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57327393600).

41959301120 is an abundant number, since it is smaller than the sum of its proper divisors (72695486080).

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

41959301120 is a wasteful number, since it uses less digits than its factorization.

41959301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4114 (or 4090 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 35.

The spelling of 41959301120 in words is "forty-one billion, nine hundred fifty-nine million, three hundred one thousand, one hundred twenty".