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13144413122220 = 2235844325947359
BaseRepresentation
bin1011111101000110110000…
…0100110010111010101100
31201112121000202021020121210
42333101230010302322230
53210324224224402340
643542243210554420
72524436545031262
oct277215404627254
951477022236553
1013144413122220
114208572595986
121583585438a10
13744688926123
1433629b7c6432
1517bdb2a35180
hexbf46c132eac

13144413122220 has 48 divisors (see below), whose sum is σ = 36808717317120. Its totient is φ = 3504761539776.

The previous prime is 13144413122161. The next prime is 13144413122327. The reversal of 13144413122220 is 2222131444131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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, 12467100 + ... + 13480259.

It is an arithmetic number, because the mean of its divisors is an integer number (766848277440).

Almost surely, 213144413122220 is an apocalyptic number.

13144413122220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13144413122220 is an abundant number, since it is smaller than the sum of its proper divisors (23664304194900).

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

13144413122220 is a wasteful number, since it uses less digits than its factorization.

13144413122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25955814 (or 25955812 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 13144413122220 its reverse (2222131444131), we get a palindrome (15366544566351).

The spelling of 13144413122220 in words is "thirteen trillion, one hundred forty-four billion, four hundred thirteen million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 8443 16886 25329 33772 42215 50658 84430 101316 126645 168860 253290 506580 25947359 51894718 77842077 103789436 129736795 155684154 259473590 311368308 389210385 518947180 778420770 1556841540 219073552037 438147104074 657220656111 876294208148 1095367760185 1314441312222 2190735520370 2628882624444 3286103280555 4381471040740 6572206561110 13144413122220