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41230341200 = 24521015931721
BaseRepresentation
bin100110011001100001…
…010001010001010000
310221102102011100100002
4212121201101101100
51133414431404300
630535125145132
72656504055246
oct463141212120
9127372140302
1041230341200
11165384a8654
127ba7b5b1a8
133b70c3b0c9
141dd1b58796
151114a175d5
hex999851450

41230341200 has 120 divisors (see below), whose sum is σ = 100263567096. Its totient is φ = 16291840000.

The previous prime is 41230341197. The next prime is 41230341203. The reversal of 41230341200 is 214303214.

It is an interprime number because it is at equal distance from previous prime (41230341197) and next prime (41230341203).

It can be written as a sum of positive squares in 12 ways, for example, as 144672784 + 41085668416 = 12028^2 + 202696^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41230341203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23956340 + ... + 23958060.

Almost surely, 241230341200 is an apocalyptic number.

41230341200 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 41230341200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50131783548).

41230341200 is an abundant number, since it is smaller than the sum of its proper divisors (59033225896).

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

41230341200 is a wasteful number, since it uses less digits than its factorization.

41230341200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2433 (or 2422 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 41230341200 its reverse (214303214), we get a palindrome (41444644414).

The spelling of 41230341200 in words is "forty-one billion, two hundred thirty million, three hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 101 200 202 400 404 505 593 808 1010 1186 1616 1721 2020 2372 2525 2965 3442 4040 4744 5050 5930 6884 8080 8605 9488 10100 11860 13768 14825 17210 20200 23720 27536 29650 34420 40400 43025 47440 59300 59893 68840 86050 118600 119786 137680 172100 173821 237200 239572 299465 344200 347642 479144 598930 688400 695284 869105 958288 1020553 1197860 1390568 1497325 1738210 2041106 2395720 2781136 2994650 3476420 4082212 4345525 4791440 5102765 5989300 6952840 8164424 8691050 10205530 11978600 13905680 16328848 17382100 20411060 23957200 25513825 34764200 40822120 51027650 69528400 81644240 102055300 103075853 204110600 206151706 408221200 412303412 515379265 824606824 1030758530 1649213648 2061517060 2576896325 4123034120 5153792650 8246068240 10307585300 20615170600 41230341200