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14112551433140 = 2254133766177261
BaseRepresentation
bin1100110101011101010110…
…0111010111001110110100
31211222010221222022011102022
43031113111213113032310
53322210001131330030
650003114442532312
72654412115633436
oct315272547271664
954863858264368
1014112551433140
114551110409226
1216bb134b07098
137b4a66c1aab4
1436b0a0450656
15197176ed0de5
hexcd5d59d73b4

14112551433140 has 96 divisors (see below), whose sum is σ = 30495742831008. Its totient is φ = 5482616832000.

The previous prime is 14112551433137. The next prime is 14112551433191. The reversal of 14112551433140 is 4133415521141.

It can be written as a sum of positive squares in 16 ways, for example, as 4110942782116 + 10001608651024 = 2027546^2 + 3162532^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 14112551433140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182622110 + ... + 182699370.

It is an arithmetic number, because the mean of its divisors is an integer number (317663987823).

Almost surely, 214112551433140 is an apocalyptic number.

14112551433140 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 14112551433140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15247871415504).

14112551433140 is an abundant number, since it is smaller than the sum of its proper divisors (16383191397868).

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

14112551433140 is a wasteful number, since it uses less digits than its factorization.

14112551433140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78309 (or 78307 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

Adding to 14112551433140 its reverse (4133415521141), we get a palindrome (18245966954281).

The spelling of 14112551433140 in words is "fourteen trillion, one hundred twelve billion, five hundred fifty-one million, four hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 41 82 164 205 337 410 661 674 820 1322 1348 1685 2644 3305 3370 6610 6740 13220 13817 27101 27634 54202 55268 69085 77261 108404 135505 138170 154522 222757 271010 276340 309044 386305 445514 542020 772610 891028 1113785 1545220 2227570 3167701 4455140 6335402 9133037 12670804 15838505 18266074 26036957 31677010 36532148 45665185 51069521 52073914 63354020 91330370 102139042 104147828 130184785 182660740 204278084 255347605 260369570 510695210 520739140 1021390420 1067515237 2093850361 2135030474 4187700722 4270060948 5337576185 8375401444 10469251805 10675152370 17210428577 20938503610 21350304740 34420857154 41877007220 68841714308 86052142885 172104285770 344208571540 705627571657 1411255143314 2822510286628 3528137858285 7056275716570 14112551433140