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14211110440140 = 22351930742179629
BaseRepresentation
bin1100111011001100100000…
…1100001000110011001100
31212022120100201110110212220
43032303020030020303030
53330313323233041030
650120254412255340
72664501364444245
oct316631014106314
955276321413786
1014211110440140
1145899973a6a19
121716260171550
137c1143028253
14371b6dd6bccc
151999e4979a10
hexcecc8308ccc

14211110440140 has 192 divisors, whose sum is σ = 42036142579200. Its totient is φ = 3577260754944.

The previous prime is 14211110440061. The next prime is 14211110440147. The reversal of 14211110440140 is 4104401111241.

It is a super-2 number, since 2×142111104401402 (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 14211110440140.

It is not an unprimeable number, because it can be changed into a prime (14211110440147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1475860846 + ... + 1475870474.

It is an arithmetic number, because the mean of its divisors is an integer number (218938242600).

Almost surely, 214211110440140 is an apocalyptic number.

14211110440140 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 14211110440140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21018071289600).

14211110440140 is an abundant number, since it is smaller than the sum of its proper divisors (27825032139060).

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

14211110440140 is a wasteful number, since it uses less digits than its factorization.

14211110440140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14184 (or 14182 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

Adding to 14211110440140 its reverse (4104401111241), we get a palindrome (18315511551381).

The spelling of 14211110440140 in words is "fourteen trillion, two hundred eleven billion, one hundred ten million, four hundred forty thousand, one hundred forty".