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14002002211340 = 225112132922292311
BaseRepresentation
bin1100101111000001100001…
…0111100011001000001100
31211120120121121102211101002
43023300120113203020030
53313402100031230330
645440233033235432
72643416445022313
oct313603027431014
954516547384332
1014002002211340
114509241242700
1216a1822262b78
137a74c99c39a0
143659b434127a
15194356a9ae45
hexcbc185e320c

14002002211340 has 432 divisors, whose sum is σ = 36221196123840. Its totient is φ = 4516133529600.

The previous prime is 14002002211303. The next prime is 14002002211367. The reversal of 14002002211340 is 4311220020041.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 6058848785 + ... + 6058851095.

Almost surely, 214002002211340 is an apocalyptic number.

14002002211340 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 14002002211340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18110598061920).

14002002211340 is an abundant number, since it is smaller than the sum of its proper divisors (22219193912500).

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

14002002211340 is a wasteful number, since it uses less digits than its factorization.

14002002211340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2642 (or 2600 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 14002002211340 its reverse (4311220020041), we get a palindrome (18313222231381).

The spelling of 14002002211340 in words is "fourteen trillion, two billion, two million, two hundred eleven thousand, three hundred forty".