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14420400330 = 2357718910867
BaseRepresentation
bin11010110111000010…
…11101100011001010
31101012222112020102010
431123201131203022
5214013110302310
610342531120350
71020231244320
oct153341354312
941188466363
1014420400330
11612aa38226
1229654430b6
13148a743b7b
149ab26bd10
15595ec6320
hex35b85d8ca

14420400330 has 128 divisors (see below), whose sum is σ = 40564592640. Its totient is φ = 3212858880.

The previous prime is 14420400287. The next prime is 14420400347. The reversal of 14420400330 is 3300402441.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 14420400297 and 14420400306.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1321557 + ... + 1332423.

It is an arithmetic number, because the mean of its divisors is an integer number (316910880).

Almost surely, 214420400330 is an apocalyptic number.

14420400330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14420400330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20282296320).

14420400330 is an abundant number, since it is smaller than the sum of its proper divisors (26144192310).

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

14420400330 is a wasteful number, since it uses less digits than its factorization.

14420400330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11044.

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 14420400330 its reverse (3300402441), we get a palindrome (17720802771).

The spelling of 14420400330 in words is "fourteen billion, four hundred twenty million, four hundred thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 71 89 105 142 178 210 213 267 355 426 445 497 534 623 710 890 994 1065 1246 1335 1491 1869 2130 2485 2670 2982 3115 3738 4970 6230 6319 7455 9345 10867 12638 14910 18690 18957 21734 31595 32601 37914 44233 54335 63190 65202 76069 88466 94785 108670 132699 152138 163005 189570 221165 228207 265398 326010 380345 442330 456414 663495 760690 771557 967163 1141035 1326990 1543114 1934326 2282070 2314671 2901489 3857785 4629342 4835815 5400899 5802978 6770141 7715570 9671630 10801798 11573355 13540282 14507445 16202697 20310423 23146710 27004495 29014890 32405394 33850705 40620846 54008990 67701410 68668573 81013485 101552115 137337146 162026970 203104230 206005719 343342865 412011438 480680011 686685730 961360022 1030028595 1442040033 2060057190 2403400055 2884080066 4806800110 7210200165 14420400330