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14322130120188 = 223211176433308663
BaseRepresentation
bin1101000001101010000101…
…1110100110110111111100
31212201011220212120120022200
43100122201132212313330
53334123210302321223
650243255025311500
73005511510242652
oct320324136466774
955634825516280
1014322130120188
114621a88091810
121733884495590
137cb756862c17
143772a2742dd2
1519c84133ea43
hexd06a17a6dfc

14322130120188 has 144 divisors (see below), whose sum is σ = 41882604132096. Its totient is φ = 4078389127680.

The previous prime is 14322130120031. The next prime is 14322130120189. The reversal of 14322130120188 is 88102103122341.

14322130120188 is a `hidden beast` number, since 1 + 4 + 322 + 1 + 30 + 120 + 188 = 666.

It is a super-2 number, since 2×143221301201882 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14322130120189) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2674345 + ... + 5983007.

It is an arithmetic number, because the mean of its divisors is an integer number (290851417584).

Almost surely, 214322130120188 is an apocalyptic number.

14322130120188 is a gapful number since it is divisible by the number (18) 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 14322130120188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20941302066048).

14322130120188 is an abundant number, since it is smaller than the sum of its proper divisors (27560474011908).

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

14322130120188 is a wasteful number, since it uses less digits than its factorization.

14322130120188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3309344 (or 3309339 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 14322130120188 in words is "fourteen trillion, three hundred twenty-two billion, one hundred thirty million, one hundred twenty thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 306 374 396 561 612 643 748 1122 1286 1683 1929 2244 2572 3366 3858 5787 6732 7073 7716 10931 11574 14146 21219 21862 23148 28292 32793 42438 43724 63657 65586 84876 98379 120241 127314 131172 196758 240482 254628 360723 393516 480964 721446 1082169 1442892 2164338 3308663 4328676 6617326 9925989 13234652 19851978 29777967 36395293 39703956 56247271 59555934 72790586 109185879 112494542 119111868 145581172 168741813 218371758 224989084 327557637 337483626 436743516 506225439 618719981 655115274 674967252 1012450878 1237439962 1310230548 1856159943 2024901756 2127470309 2474879924 3712319886 4254940618 5568479829 6382410927 7424639772 8509881236 11136959658 12764821854 19147232781 22273919316 23402173399 25529643708 36166995253 38294465562 46804346798 70206520197 72333990506 76588931124 93608693596 108500985759 140413040394 144667981012 210619560591 217001971518 280826080788 325502957277 397836947783 421239121182 434003943036 651005914554 795673895566 842478242364 1193510843349 1302011829108 1591347791132 2387021686698 3580532530047 4774043373396 7161065060094 14322130120188