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14054252407000 = 2353137155727337
BaseRepresentation
bin1100110010000100001010…
…1110001110100011011000
31211202120111000101210010221
43030201002232032203120
53320231102104011000
645520233500245424
72650246322245261
oct314410256164330
954676430353127
1014054252407000
1145294140a9a93
1216ab984840874
137ac4059bb520
1436832d857968
151958b3c7561a
hexcc842b8e8d8

14054252407000 has 256 divisors, whose sum is σ = 35981339546880. Its totient is φ = 5106802176000.

The previous prime is 14054252406913. The next prime is 14054252407021. The reversal of 14054252407000 is 70425245041.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 514097332 + ... + 514124668.

It is an arithmetic number, because the mean of its divisors is an integer number (140552107605).

Almost surely, 214054252407000 is an apocalyptic number.

14054252407000 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 14054252407000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17990669773440).

14054252407000 is an abundant number, since it is smaller than the sum of its proper divisors (21927087139880).

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

14054252407000 is a wasteful number, since it uses less digits than its factorization.

14054252407000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27999 (or 27985 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 34.

The spelling of 14054252407000 in words is "fourteen trillion, fifty-four billion, two hundred fifty-two million, four hundred seven thousand".