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14144301320 = 2354370111731
BaseRepresentation
bin11010010110001000…
…01110100100001000
31100111201222221202212
431023010032210020
5212431420120240
610255305244252
71010336402042
oct151304164410
940451887685
1014144301320
115aa90a8a26
1228a8a93688
131445493c86
1498271aa92
1557bb39165
hex34b10e908

14144301320 has 64 divisors (see below), whose sum is σ = 32614021440. Its totient is φ = 5517792000.

The previous prime is 14144301289. The next prime is 14144301323. The reversal of 14144301320 is 2310344141.

It is a super-2 number, since 2×141443013202 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14144301323) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1199855 + ... + 1211585.

It is an arithmetic number, because the mean of its divisors is an integer number (509594085).

Almost surely, 214144301320 is an apocalyptic number.

14144301320 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 14144301320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16307010720).

14144301320 is an abundant number, since it is smaller than the sum of its proper divisors (18469720120).

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

14144301320 is a wasteful number, since it uses less digits than its factorization.

14144301320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12486 (or 12482 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 14144301320 its reverse (2310344141), we get a palindrome (16454645461).

The spelling of 14144301320 in words is "fourteen billion, one hundred forty-four million, three hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 430 701 860 1402 1720 2804 3505 5608 7010 11731 14020 23462 28040 30143 46924 58655 60286 93848 117310 120572 150715 234620 241144 301430 469240 504433 602860 1008866 1205720 2017732 2522165 4035464 5044330 8223431 10088660 16446862 20177320 32893724 41117155 65787448 82234310 164468620 328937240 353607533 707215066 1414430132 1768037665 2828860264 3536075330 7072150660 14144301320