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14022410340 = 22355327715919
BaseRepresentation
bin11010000111100110…
…10000000001100100
31100012020122020210010
431003303100001210
5212204214112330
610235232530220
71004326343541
oct150363200144
940166566703
1014022410340
115a46315484
1228740b0970
131426157433
1497046bbc8
155710ad3b0
hex343cd0064

14022410340 has 96 divisors (see below), whose sum is σ = 40150494720. Its totient is φ = 3655282176.

The previous prime is 14022410323. The next prime is 14022410371. The reversal of 14022410340 is 4301422041.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 872901 + ... + 888819.

It is an arithmetic number, because the mean of its divisors is an integer number (418234320).

Almost surely, 214022410340 is an apocalyptic number.

14022410340 is a gapful number since it is divisible by the number (10) 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 14022410340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20075247360).

14022410340 is an abundant number, since it is smaller than the sum of its proper divisors (26128084380).

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

14022410340 is a wasteful number, since it uses less digits than its factorization.

14022410340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16261 (or 16259 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 14022410340 its reverse (4301422041), we get a palindrome (18323832381).

The spelling of 14022410340 in words is "fourteen billion, twenty-two million, four hundred ten thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 277 318 530 554 636 795 831 1060 1108 1385 1590 1662 2770 3180 3324 4155 5540 8310 14681 15919 16620 29362 31838 44043 47757 58724 63676 73405 79595 88086 95514 146810 159190 176172 191028 220215 238785 293620 318380 440430 477570 843707 880860 955140 1687414 2531121 3374828 4218535 4409563 5062242 8437070 8819126 10124484 12655605 13228689 16874140 17638252 22047815 25311210 26457378 44095630 50622420 52914756 66143445 88191260 132286890 233706839 264573780 467413678 701120517 934827356 1168534195 1402241034 2337068390 2804482068 3505602585 4674136780 7011205170 14022410340