Search a number
-
+
41341210000 = 245437111733
BaseRepresentation
bin100110100000001000…
…001100110110010000
310221201010210001201221
4212200020030312100
51134131322210000
630554125334424
72662321326016
oct464010146620
9127633701657
1041341210000
1116595042a62
128019107414
133b8abb8a4c
1420027788b6
15111e61761a
hex9a020cd90

41341210000 has 100 divisors (see below), whose sum is σ = 102797291212. Its totient is φ = 16089408000.

The previous prime is 41341209967. The next prime is 41341210007. The reversal of 41341210000 is 1214314.

It can be written as a sum of positive squares in 10 ways, for example, as 19711036816 + 21630173184 = 140396^2 + 147072^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (41341210007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 314134 + ... + 425866.

Almost surely, 241341210000 is an apocalyptic number.

41341210000 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 41341210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51398645606).

41341210000 is an abundant number, since it is smaller than the sum of its proper divisors (61456081212).

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

41341210000 is a wasteful number, since it uses less digits than its factorization.

41341210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111798 (or 111777 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 41341210000 its reverse (1214314), we get a palindrome (41342424314).

The spelling of 41341210000 in words is "forty-one billion, three hundred forty-one million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 37 40 50 74 80 100 125 148 185 200 250 296 370 400 500 592 625 740 925 1000 1250 1480 1850 2000 2500 2960 3700 4625 5000 7400 9250 10000 14800 18500 23125 37000 46250 74000 92500 111733 185000 223466 370000 446932 558665 893864 1117330 1787728 2234660 2793325 4134121 4469320 5586650 8268242 8938640 11173300 13966625 16536484 20670605 22346600 27933250 33072968 41341210 44693200 55866500 66145936 69833125 82682420 103353025 111733000 139666250 165364840 206706050 223466000 279332500 330729680 413412100 516765125 558665000 826824200 1033530250 1117330000 1653648400 2067060500 2583825625 4134121000 5167651250 8268242000 10335302500 20670605000 41341210000