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14134412201130 = 23351319379207797
BaseRepresentation
bin1100110110101110110010…
…0111100100110010101010
31212001020101111012020111000
43031223230213210302222
53323034234010414010
650021132003015430
72656114624251054
oct315535447446252
955036344166430
1014134412201130
11455a409227831
12170341606a576
137b6b3bc71180
1436c17590a8d4
15197a062aa7c0
hexcdaec9e4caa

14134412201130 has 128 divisors (see below), whose sum is σ = 40593422419200. Its totient is φ = 3479043647232.

The previous prime is 14134412201101. The next prime is 14134412201167. The reversal of 14134412201130 is 3110221443141.

It is a happy number.

14134412201130 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 441 + 2 + 201 + 13 + 0 = 666.

It is a super-2 number, since 2×141344122011302 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 14134412201094 and 14134412201103.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67916392 + ... + 68124188.

It is an arithmetic number, because the mean of its divisors is an integer number (317136112650).

Almost surely, 214134412201130 is an apocalyptic number.

14134412201130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14134412201130 is an abundant number, since it is smaller than the sum of its proper divisors (26459010218070).

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

14134412201130 is a wasteful number, since it uses less digits than its factorization.

14134412201130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227205 (or 227199 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 14134412201130 its reverse (3110221443141), we get a palindrome (17244633644271).

The spelling of 14134412201130 in words is "fourteen trillion, one hundred thirty-four billion, four hundred twelve million, two hundred one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 390 585 702 1170 1755 3510 19379 38758 58137 96895 116274 174411 193790 207797 251927 290685 348822 415594 503854 523233 581370 623391 755781 872055 1038985 1046466 1246782 1259635 1511562 1744110 1870173 2077970 2267343 2519270 2616165 2701361 3116955 3740346 3778905 4534686 5232330 5402722 5610519 6233910 6802029 7557810 8104083 9350865 11221038 11336715 13506805 13604058 16208166 18701730 22673430 24312249 27013610 28052595 34010145 40520415 48624498 56105190 68020290 72936747 81040830 121561245 145873494 243122490 364683735 729367470 4026898063 8053796126 12080694189 20134490315 24161388378 36242082567 40268980630 52349674819 60403470945 72484165134 104699349638 108726247701 120806941890 157049024457 181210412835 217452495402 261748374095 314098048914 362420825670 471147073371 523496748190 543631238505 785245122285 942294146742 1087262477010 1413441220113 1570490244570 2355735366855 2826882440226 4711470733710 7067206100565 14134412201130