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14220134304220 = 22513503499921751
BaseRepresentation
bin1100111011101110001000…
…0011011100100111011100
31212100102122121110021021001
43032323202003130213130
53330440313340213340
650124350045120044
72665241120150005
oct316734203344734
955312577407231
1014220134304220
1145927a8107629
121717b5a259024
137c1c507126b0
143723885d61ac
15199d71cbc29a
hexceee20dc9dc

14220134304220 has 96 divisors (see below), whose sum is σ = 32231243520000. Its totient is φ = 5238783648000.

The previous prime is 14220134304199. The next prime is 14220134304221. The reversal of 14220134304220 is 2240343102241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14220134304221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 653758345 + ... + 653780095.

It is an arithmetic number, because the mean of its divisors is an integer number (335742120000).

Almost surely, 214220134304220 is an apocalyptic number.

14220134304220 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 14220134304220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16115621760000).

14220134304220 is an abundant number, since it is smaller than the sum of its proper divisors (18011109215780).

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

14220134304220 is a wasteful number, since it uses less digits than its factorization.

14220134304220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27275 (or 27273 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 14220134304220 its reverse (2240343102241), we get a palindrome (16460477406461).

The spelling of 14220134304220 in words is "fourteen trillion, two hundred twenty billion, one hundred thirty-four million, three hundred four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 503 1006 2012 2515 4999 5030 6539 9998 10060 13078 19996 21751 24995 26156 32695 43502 49990 64987 65390 87004 99980 108755 129974 130780 217510 259948 282763 324935 435020 565526 649870 1131052 1299740 1413815 2514497 2827630 5028994 5655260 10057988 10940753 12572485 21881506 25144970 32688461 43763012 50289940 54703765 65376922 108733249 109407530 130753844 142229789 163442305 217466498 218815060 284459578 326884610 434932996 543666245 568919156 653769220 711148945 1087332490 1413532237 1422297890 2174664980 2827064474 2844595780 5654128948 7067661185 14135322370 28270644740 54692824247 109385648494 218771296988 273464121235 546928242470 711006715211 1093856484940 1422013430422 2844026860844 3555033576055 7110067152110 14220134304220