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14443413324340 = 22571113721449217
BaseRepresentation
bin1101001000101101111010…
…0001010100001000110100
31220010202222022022200222211
43102023132201110020310
53343120102302334330
650415113521303204
73020334150413230
oct322133641241064
956122868280884
1014443413324340
114669465312130
121753291a94b04
1380a014854390
1437d0ca2775c0
151a0a8dcb8d2a
hexd22de854234

14443413324340 has 96 divisors (see below), whose sum is σ = 40724365457664. Its totient is φ = 4155547484160.

The previous prime is 14443413324337. The next prime is 14443413324341. The reversal of 14443413324340 is 4342331434441.

It is a super-2 number, since 2×144434133243402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14443413324293 and 14443413324302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14443413324341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 360704589 + ... + 360744628.

It is an arithmetic number, because the mean of its divisors is an integer number (424212140184).

Almost surely, 214443413324340 is an apocalyptic number.

14443413324340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14443413324340 is an abundant number, since it is smaller than the sum of its proper divisors (26280952133324).

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

14443413324340 is a wasteful number, since it uses less digits than its factorization.

14443413324340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721449257 (or 721449255 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 40.

Adding to 14443413324340 its reverse (4342331434441), we get a palindrome (18785744758781).

The spelling of 14443413324340 in words is "fourteen trillion, four hundred forty-three billion, four hundred thirteen million, three hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2860 4004 5005 10010 20020 721449217 1442898434 2885796868 3607246085 5050144519 7214492170 7935941387 9378839821 10100289038 14428984340 15871882774 18757679642 20200578076 25250722595 31743765548 37515359284 39679706935 46894199105 50501445190 55551589709 65651878747 79359413870 93788398210 101002890380 103167238031 111103179418 131303757494 158718827740 187576796420 206334476062 222206358836 262607514988 277757948545 328259393735 412668952124 515836190155 555515897090 656518787470 722170666217 1031672380310 1111031794180 1313037574940 1444341332434 2063344760620 2888682664868 3610853331085 7221706662170 14443413324340