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14125219561180 = 225713199160924239
BaseRepresentation
bin1100110110001100100010…
…1100011011111011011100
31212000100122211121202010201
43031203020230123323130
53322411422201424210
650013011500513244
72655341052145360
oct315431054337334
955010584552121
1014125219561180
114556521220332
12170168b54b824
137b6005612950
1436b942aab2a0
1519766922a53a
hexcd8c8b1bedc

14125219561180 has 192 divisors, whose sum is σ = 36716037120000. Its totient is φ = 4444987041792.

The previous prime is 14125219561169. The next prime is 14125219561273. The reversal of 14125219561180 is 8116591252141.

It is a super-2 number, since 2×141252195611802 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14125219561180.

It is a congruent number.

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, 582735501 + ... + 582759739.

It is an arithmetic number, because the mean of its divisors is an integer number (191229360000).

Almost surely, 214125219561180 is an apocalyptic number.

14125219561180 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 14125219561180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18358018560000).

14125219561180 is an abundant number, since it is smaller than the sum of its proper divisors (22590817558820).

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

14125219561180 is a wasteful number, since it uses less digits than its factorization.

14125219561180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26076 (or 26074 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 46.

The spelling of 14125219561180 in words is "fourteen trillion, one hundred twenty-five billion, two hundred nineteen million, five hundred sixty-one thousand, one hundred eighty".