Search a number
-
+
41104072200 = 233521729138959
BaseRepresentation
bin100110010001111111…
…100101111000001000
310221002121120012211110
4212101333211320020
51133140120302300
630514414530320
72653411564122
oct462177457010
9127077505743
1041104072200
11164831a4904
127b718069a0
133b50a2a919
141dbd08a212
1511088c4550
hex991fe5e08

41104072200 has 192 divisors, whose sum is σ = 139571424000. Its totient is φ = 9960509440.

The previous prime is 41104072159. The next prime is 41104072211. The reversal of 41104072200 is 227040114.

It is a happy number.

41104072200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 226321 + ... + 365279.

It is an arithmetic number, because the mean of its divisors is an integer number (726934500).

Almost surely, 241104072200 is an apocalyptic number.

41104072200 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 41104072200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69785712000).

41104072200 is an abundant number, since it is smaller than the sum of its proper divisors (98467351800).

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

41104072200 is a wasteful number, since it uses less digits than its factorization.

41104072200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139024 (or 139015 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The spelling of 41104072200 in words is "forty-one billion, one hundred four million, seventy-two thousand, two hundred".