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1404404424 = 233243716389
BaseRepresentation
bin101001110110101…
…1000001011001000
310121212122010200200
41103231120023020
510334011420144
6351205132200
746542145353
oct12355301310
93555563620
101404404424
11660827915
123323ba060
13194c61447
14d473b29a
1583464c69
hex53b582c8

1404404424 has 96 divisors (see below), whose sum is σ = 3947486400. Its totient is φ = 450737280.

The previous prime is 1404404401. The next prime is 1404404453. The reversal of 1404404424 is 4244044041.

It is a super-3 number, since 3×14044044243 (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216622 + ... + 223010.

It is an arithmetic number, because the mean of its divisors is an integer number (41119650).

Almost surely, 21404404424 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 1404404424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1973743200).

1404404424 is an abundant number, since it is smaller than the sum of its proper divisors (2543081976).

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

1404404424 is a wasteful number, since it uses less digits than its factorization.

1404404424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6515 (or 6508 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

The square root of 1404404424 is about 37475.3842408587. The cubic root of 1404404424 is about 1119.8608521859.

Adding to 1404404424 its reverse (4244044041), we get a palindrome (5648448465).

The spelling of 1404404424 in words is "one billion, four hundred four million, four hundred four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 71 72 86 129 142 172 213 258 284 344 387 426 516 568 639 774 852 1032 1278 1548 1704 2556 3053 3096 5112 6106 6389 9159 12212 12778 18318 19167 24424 25556 27477 36636 38334 51112 54954 57501 73272 76668 109908 115002 153336 219816 230004 274727 453619 460008 549454 824181 907238 1098908 1360857 1648362 1814476 2197816 2472543 2721714 3296724 3628952 4082571 4945086 5443428 6593448 8165142 9890172 10886856 16330284 19505617 19780344 32660568 39011234 58516851 78022468 117033702 156044936 175550553 234067404 351101106 468134808 702202212 1404404424