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14139284530176 = 210321322321312
BaseRepresentation
bin1100110111000000111100…
…0010000010010000000000
31212001200222001100012102100
43031300033002002100000
53323124223314431201
650023255253550400
72656346436335031
oct315601702022000
955050861305370
1014139284530176
114561489563753
121704355945400
137b743751b400
1436c4b8a56a88
15197bddde3886
hexcdc0f082400

14139284530176 has 891 divisors, whose sum is σ = 46570162943577. Its totient is φ = 4129628405760.

The previous prime is 14139284530117. The next prime is 14139284530207. The reversal of 14139284530176 is 67103548293141.

The square root of 14139284530176 is 3760224.

It is a perfect power (a square), and thus also a powerful number.

14139284530176 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 92 + 8 + 4 + 530 + 17 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2091610137600 + 12047674392576 = 1446240^2 + 3470976^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 107933469631 + ... + 107933469761.

It is a 1-persistent number, because it is pandigital, but 2⋅14139284530176 = 28278569060352 is not.

Almost surely, 214139284530176 is an apocalyptic number.

14139284530176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14139284530176 is the 3760224-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14139284530176

14139284530176 is an abundant number, since it is smaller than the sum of its proper divisors (32430878413401).

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

14139284530176 is a wasteful number, since it uses less digits than its factorization.

14139284530176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 14139284530176 in words is "fourteen trillion, one hundred thirty-nine billion, two hundred eighty-four million, five hundred thirty thousand, one hundred seventy-six".