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40244432200 = 23527142320201
BaseRepresentation
bin100101011110110000…
…010100110101001000
310211212200222222102221
4211132300110311020
51124410033312300
630253225503424
72623203013060
oct453660246510
9124780888387
1040244432200
1116081a29625
127971941b74
133a448c58bb
141d3ac383a0
1510a81bb31a
hex95ec14d48

40244432200 has 96 divisors (see below), whose sum is σ = 107015650560. Its totient is φ = 13787712000.

The previous prime is 40244432153. The next prime is 40244432203. The reversal of 40244432200 is 223444204.

It is a super-2 number, since 2×402444322002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (40244432203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1982100 + ... + 2002300.

It is an arithmetic number, because the mean of its divisors is an integer number (1114746360).

Almost surely, 240244432200 is an apocalyptic number.

40244432200 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 40244432200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53507825280).

40244432200 is an abundant number, since it is smaller than the sum of its proper divisors (66771218360).

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

40244432200 is a wasteful number, since it uses less digits than its factorization.

40244432200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21647 (or 21638 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

Adding to 40244432200 its reverse (223444204), we get a palindrome (40467876404).

The spelling of 40244432200 in words is "forty billion, two hundred forty-four million, four hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 1423 2846 5692 7115 9961 11384 14230 19922 20201 28460 35575 39844 40402 49805 56920 71150 79688 80804 99610 101005 141407 142300 161608 199220 202010 249025 282814 284600 398440 404020 498050 505025 565628 707035 808040 996100 1010050 1131256 1414070 1992200 2020100 2828140 3535175 4040200 5656280 7070350 14140700 28281400 28746023 57492046 114984092 143730115 201222161 229968184 287460230 402444322 574920460 718650575 804888644 1006110805 1149840920 1437301150 1609777288 2012221610 2874602300 4024443220 5030554025 5749204600 8048886440 10061108050 20122216100 40244432200