Search a number
-
+
14055817248096 = 2531331363312067
BaseRepresentation
bin1100110010001001111111…
…1111100111110101100000
31211202201112001220221120120
43030202133333213311200
53320242303203414341
645521053040240240
72650333153212231
oct314423777476540
954681461827516
1014055817248096
11452a047447298
1216b0140910080
137ac5c4c640c0
1436843b5d9088
1519595632c066
hexcc89ffe7d60

14055817248096 has 96 divisors (see below), whose sum is σ = 41016479228928. Its totient is φ = 4185355000320.

The previous prime is 14055817248079. The next prime is 14055817248169. The reversal of 14055817248096 is 69084271855041.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181617346 + ... + 181694721.

It is an arithmetic number, because the mean of its divisors is an integer number (427254991968).

Almost surely, 214055817248096 is an apocalyptic number.

14055817248096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14055817248096 is an abundant number, since it is smaller than the sum of its proper divisors (26960661980832).

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

14055817248096 is a wasteful number, since it uses less digits than its factorization.

14055817248096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363312124 (or 363312116 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 60.

The spelling of 14055817248096 in words is "fourteen trillion, fifty-five billion, eight hundred seventeen million, two hundred forty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 78 93 96 104 124 156 186 208 248 312 372 403 416 496 624 744 806 992 1209 1248 1488 1612 2418 2976 3224 4836 6448 9672 12896 19344 38688 363312067 726624134 1089936201 1453248268 2179872402 2906496536 4359744804 4723056871 5812993072 8719489608 9446113742 11262674077 11625986144 14169170613 17438979216 18892227484 22525348154 28338341226 33788022231 34877958432 37784454968 45050696308 56676682452 67576044462 75568909936 90101392616 113353364904 135152088924 146414763001 151137819872 180202785232 226706729808 270304177848 292829526002 360405570464 439244289003 453413459616 540608355696 585659052004 878488578006 1081216711392 1171318104008 1756977156012 2342636208016 3513954312024 4685272416032 7027908624048 14055817248096