Search a number
-
+
41114441250 = 232544189137
BaseRepresentation
bin100110010010100111…
…001001011000100010
310221010100002000111100
4212102213021120202
51133200244110000
630515425055230
72653565661441
oct462247113042
9127110060440
1041114441250
1116489037273
127b75187516
133b52c1b45c
141dc05c8d58
151109771a00
hex9929c9622

41114441250 has 120 divisors (see below), whose sum is σ = 114032282364. Its totient is φ = 10696320000.

The previous prime is 41114441191. The next prime is 41114441257. The reversal of 41114441250 is 5214441114.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 3687282729 + 37427158521 = 60723^2 + 193461^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (41114441257) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 416682 + ... + 505818.

Almost surely, 241114441250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41114441250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57016141182).

41114441250 is an abundant number, since it is smaller than the sum of its proper divisors (72917841114).

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

41114441250 is a wasteful number, since it uses less digits than its factorization.

41114441250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89206 (or 89188 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 41114441250 its reverse (5214441114), we get a palindrome (46328882364).

The spelling of 41114441250 in words is "forty-one billion, one hundred fourteen million, four hundred forty-one thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 41 45 50 75 82 90 123 125 150 205 225 246 250 369 375 410 450 615 625 738 750 1025 1125 1230 1250 1845 1875 2050 2250 3075 3690 3750 5125 5625 6150 9225 10250 11250 15375 18450 25625 30750 46125 51250 76875 89137 92250 153750 178274 230625 267411 445685 461250 534822 802233 891370 1337055 1604466 2228425 2674110 3654617 4011165 4456850 6685275 7309234 8022330 10963851 11142125 13370550 18273085 20055825 21927702 22284250 32891553 33426375 36546170 40111650 54819255 55710625 65783106 66852750 91365425 100279125 109638510 111421250 164457765 167131875 182730850 200558250 274096275 328915530 334263750 456827125 501395625 548192550 822288825 913654250 1002791250 1370481375 1644577650 2284135625 2740962750 4111444125 4568271250 6852406875 8222888250 13704813750 20557220625 41114441250