Search a number
-
+
41342322300 = 223521931233969
BaseRepresentation
bin100110100000001100…
…011100011001111100
310221201012212120112020
4212200030130121330
51134132113303200
630554205240140
72662333640616
oct464014343174
9127635776466
1041342322300
1116595732714
128019563050
133b8b1b8106
142002987db6
15111e786ea0
hex9a031c67c

41342322300 has 144 divisors (see below), whose sum is σ = 129975014400. Its totient is φ = 10107417600.

The previous prime is 41342322299. The next prime is 41342322311. The reversal of 41342322300 is 322324314.

It is a super-2 number, since 2×413423223002 (a number of 22 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 47 ways as a sum of consecutive naturals, for example, 59716 + ... + 293684.

Almost surely, 241342322300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41342322300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64987507200).

41342322300 is an abundant number, since it is smaller than the sum of its proper divisors (88632692100).

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

41342322300 is a wasteful number, since it uses less digits than its factorization.

41342322300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234036 (or 234029 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 41342322300 its reverse (322324314), we get a palindrome (41664646614).

The spelling of 41342322300 in words is "forty-one billion, three hundred forty-two million, three hundred twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 31 38 50 57 60 62 75 76 93 95 100 114 124 150 155 186 190 228 285 300 310 372 380 465 475 570 589 620 775 930 950 1140 1178 1425 1550 1767 1860 1900 2325 2356 2850 2945 3100 3534 4650 5700 5890 7068 8835 9300 11780 14725 17670 29450 35340 44175 58900 88350 176700 233969 467938 701907 935876 1169845 1403814 2339690 2807628 3509535 4445411 4679380 5849225 7019070 7253039 8890822 11698450 13336233 14038140 14506078 17547675 17781644 21759117 22227055 23396900 26672466 29012156 35095350 36265195 43518234 44454110 53344932 66681165 70190700 72530390 87036468 88908220 108795585 111135275 133362330 137807741 145060780 181325975 217591170 222270550 266724660 275615482 333405825 362651950 413423223 435182340 444541100 543977925 551230964 666811650 689038705 725303900 826846446 1087955850 1333623300 1378077410 1653692892 2067116115 2175911700 2756154820 3445193525 4134232230 6890387050 8268464460 10335580575 13780774100 20671161150 41342322300