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413340001400 = 23527328310959
BaseRepresentation
bin1100000001111001111…
…10111110010001111000
31110111220101010122200202
412000330332332101320
523233010020021100
6513515154421332
741601644020244
oct6007476762170
91414811118622
10413340001400
1114a329722947
1268136891848
132cc932a51b1
1416011b55424
15ab42b0b7d5
hex603cfbe478

413340001400 has 48 divisors (see below), whose sum is σ = 974180133600. Its totient is φ = 163071118080.

The previous prime is 413340001387. The next prime is 413340001421. The reversal of 413340001400 is 4100043314.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14140880 + ... + 14170079.

It is an arithmetic number, because the mean of its divisors is an integer number (20295419450).

Almost surely, 2413340001400 is an apocalyptic number.

413340001400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413340001400 is an abundant number, since it is smaller than the sum of its proper divisors (560840132200).

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

413340001400 is a wasteful number, since it uses less digits than its factorization.

413340001400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28311048 (or 28311039 counting only the distinct ones).

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

Adding to 413340001400 its reverse (4100043314), we get a palindrome (417440044714).

The spelling of 413340001400 in words is "four hundred thirteen billion, three hundred forty million, one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 146 200 292 365 584 730 1460 1825 2920 3650 7300 14600 28310959 56621918 113243836 141554795 226487672 283109590 566219180 707773975 1132438360 1415547950 2066700007 2831095900 4133400014 5662191800 8266800028 10333500035 16533600056 20667000070 41334000140 51667500175 82668000280 103335000350 206670000700 413340001400