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430240422404440 = 23547539594241207
BaseRepresentation
bin110000111010011010010011…
…1100010111010000101011000
32002102100120201210010110120201
41201310310213202322011120
5422343024341113420230
64123013415500431544
7156423562514133304
oct14164644742720530
92072316653113521
10430240422404440
111150a6a3611466a
1240307586b485b4
131560b66171597b
147835a673dad04
1534b1819ea05ca
hex1874d278ba158

430240422404440 has 64 divisors (see below), whose sum is σ = 988656121497600. Its totient is φ = 168431387104128.

The previous prime is 430240422404423. The next prime is 430240422404447. The reversal of 430240422404440 is 44404224042034.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 430240422404440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430240422404447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99322317 + ... + 103563523.

It is an arithmetic number, because the mean of its divisors is an integer number (15447751898400).

Almost surely, 2430240422404440 is an apocalyptic number.

430240422404440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

430240422404440 is an abundant number, since it is smaller than the sum of its proper divisors (558415699093160).

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

430240422404440 is a wasteful number, since it uses less digits than its factorization.

430240422404440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4295224 (or 4295220 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 37.

Adding to 430240422404440 its reverse (44404224042034), we get a palindrome (474644646446474).

The spelling of 430240422404440 in words is "four hundred thirty trillion, two hundred forty billion, four hundred twenty-two million, four hundred four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 470 940 1880 53959 107918 215836 269795 431672 539590 1079180 2158360 2536073 4241207 5072146 8482414 10144292 12680365 16964828 20288584 21206035 25360730 33929656 42412070 50721460 84824140 101442920 169648280 199336729 398673458 797346916 996683645 1594693832 1993367290 3986734580 7973469160 228851288513 457702577026 915405154052 1144256442565 1830810308104 2288512885130 4577025770260 9154051540520 10756010560111 21512021120222 43024042240444 53780052800555 86048084480888 107560105601110 215120211202220 430240422404440