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14042304204444 = 223210720031819999
BaseRepresentation
bin1100110001010111101010…
…0011011100111010011100
31211201102122022202012112100
43030111322203130322130
53320032114334020234
645510540121005100
72646344250223425
oct314257243347234
954642568665470
1014042304204444
11452434270661a
1216a95ab323790
137ab2504c1299
14367918a8064c
15195414d37399
hexcc57a8dce9c

14042304204444 has 72 divisors (see below), whose sum is σ = 35845467840000. Its totient is φ = 4634704986912.

The previous prime is 14042304204419. The next prime is 14042304204457. The reversal of 14042304204444 is 44440240324041.

It is a happy number.

14042304204444 is a `hidden beast` number, since 1 + 4 + 0 + 4 + 2 + 3 + 0 + 4 + 204 + 444 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14042304204399 and 14042304204408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6805557 + ... + 8625555.

It is an arithmetic number, because the mean of its divisors is an integer number (497853720000).

Almost surely, 214042304204444 is an apocalyptic number.

It is an amenable number.

14042304204444 is an abundant number, since it is smaller than the sum of its proper divisors (21803163635556).

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

14042304204444 is a wasteful number, since it uses less digits than its factorization.

14042304204444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1822119 (or 1822114 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 14042304204444 its reverse (44440240324041), we get a palindrome (58482544528485).

The spelling of 14042304204444 in words is "fourteen trillion, forty-two billion, three hundred four million, two hundred four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 107 214 321 428 642 963 1284 1926 2003 3852 4006 6009 8012 12018 18027 24036 36054 72108 214321 428642 642963 857284 1285926 1819999 1928889 2571852 3639998 3857778 5459997 7279996 7715556 10919994 16379991 21839988 32759982 65519964 194739893 389479786 584219679 778959572 1168439358 1752659037 2336878716 3505318074 3645457997 7010636148 7290915994 10936373991 14581831988 21872747982 32809121973 43745495964 65618243946 131236487892 390064005679 780128011358 1170192017037 1560256022716 2340384034074 3510576051111 4680768068148 7021152102222 14042304204444