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14002221211110 = 232511233171939879
BaseRepresentation
bin1100101111000010010101…
…1010111101110111100110
31211120121011212112011120200
43023300211122331313212
53313403022112223420
645440310455211330
72643425044341516
oct313604532756746
954517155464520
1014002221211110
114509343922450
1216a1883676b46
137a75331a1052
143659d546b846
1519436ae09b90
hexcbc256bdde6

14002221211110 has 192 divisors, whose sum is σ = 41572900961280. Its totient is φ = 3236647645440.

The previous prime is 14002221211093. The next prime is 14002221211117. The reversal of 14002221211110 is 1111212220041.

14002221211110 is a `hidden beast` number, since 1 + 400 + 2 + 221 + 21 + 11 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14002221211117) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6248151 + ... + 8188029.

It is an arithmetic number, because the mean of its divisors is an integer number (216525525840).

Almost surely, 214002221211110 is an apocalyptic number.

14002221211110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14002221211110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20786450480640).

14002221211110 is an abundant number, since it is smaller than the sum of its proper divisors (27570679750170).

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

14002221211110 is a wasteful number, since it uses less digits than its factorization.

14002221211110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1940243 (or 1940240 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 14002221211110 its reverse (1111212220041), we get a palindrome (15113433431151).

The spelling of 14002221211110 in words is "fourteen trillion, two billion, two hundred twenty-one million, two hundred eleven thousand, one hundred ten".