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14224004230095 = 3451173409106937
BaseRepresentation
bin1100111011111100100010…
…1110000010101111001111
31212100210122022101212120000
43032333020232002233033
53331021230040330340
650130230051055343
72665436041033512
oct316771056025717
955323568355500
1014224004230095
114594403629180
12171885a2a1553
137c24193c096a
1437263456ad79
15199eeb8ebd30
hexcefc8b82bcf

14224004230095 has 160 divisors (see below), whose sum is σ = 28266074591040. Its totient is φ = 6785320181760.

The previous prime is 14224004230067. The next prime is 14224004230097. The reversal of 14224004230095 is 59003240042241.

It is a happy number.

14224004230095 is a `hidden beast` number, since 1 + 4 + 224 + 0 + 0 + 42 + 300 + 95 = 666.

It is not a de Polignac number, because 14224004230095 - 212 = 14224004225999 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14224004230097) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 132959467 + ... + 133066403.

It is an arithmetic number, because the mean of its divisors is an integer number (176662966194).

Almost surely, 214224004230095 is an apocalyptic number.

14224004230095 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14224004230095 is a deficient number, since it is larger than the sum of its proper divisors (14042070360945).

14224004230095 is a wasteful number, since it uses less digits than its factorization.

14224004230095 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107447 (or 107438 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 14224004230095 in words is "fourteen trillion, two hundred twenty-four billion, four million, two hundred thirty thousand, ninety-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 73 81 99 135 165 219 297 365 405 409 495 657 803 891 1095 1227 1485 1971 2045 2409 3285 3681 4015 4455 4499 5913 6135 7227 9855 11043 12045 13497 18405 21681 22495 29565 29857 33129 36135 40491 55215 65043 67485 89571 106937 108405 121473 149285 165645 202455 268713 320811 325215 328427 364419 447855 534685 607365 806139 962433 985281 1176307 1343565 1604055 1642135 1822095 2418417 2887299 2955843 3528921 4030695 4812165 4926405 5881535 7806401 8661897 8867529 10586763 12092085 14436495 14779215 17644605 23419203 26602587 31760289 39032005 43309485 43737233 44337645 52933815 70257609 85870411 95280867 117096015 131211699 133012935 158801445 210772827 218686165 257611233 351288045 393635097 429352055 476404335 481109563 632318481 656058495 772833699 1053864135 1180905291 1288056165 1443328689 1968175485 2318501097 2405547815 3161592405 3192818009 3542715873 3864168495 4329986067 5904526455 6955503291 7216643445 9578454027 11592505485 12989958201 15964090045 17713579365 21649930335 28735362081 34777516455 35120998099 38969874603 47892270135 64949791005 86206086243 105362994297 143676810405 175604990495 194849373015 258618258729 316088982891 431030431215 526814971485 948266948673 1293091293645 1580444914455 2844800846019 4741334743365 14224004230095