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14025382654140 = 2233511213144711411
BaseRepresentation
bin1100110000011000100111…
…1100110111000010111100
31211122210222000212101101000
43030012021330313002330
53314242440424413030
645455101041250300
72645205025350504
oct314061174670274
954583860771330
1014025382654140
11451814995a400
1216a6268333990
137a9784837720
14366b91582a04
15194c744a9860
hexcc189f370bc

14025382654140 has 576 divisors, whose sum is σ = 51691517660160. Its totient is φ = 3136103308800.

The previous prime is 14025382654117. The next prime is 14025382654177. The reversal of 14025382654140 is 4145628352041.

14025382654140 is a `hidden beast` number, since 1 + 4 + 0 + 2 + 538 + 26 + 54 + 1 + 40 = 666.

14025382654140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×140253826541403 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1229105035 + ... + 1229116445.

It is an arithmetic number, because the mean of its divisors is an integer number (89742218160).

Almost surely, 214025382654140 is an apocalyptic number.

14025382654140 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 14025382654140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25845758830080).

14025382654140 is an abundant number, since it is smaller than the sum of its proper divisors (37666135006020).

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

14025382654140 is a wasteful number, since it uses less digits than its factorization.

14025382654140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12911 (or 12892 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 14025382654140 in words is "fourteen trillion, twenty-five billion, three hundred eighty-two million, six hundred fifty-four thousand, one hundred forty".