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13714339897152 = 26321967731731481
BaseRepresentation
bin1100011110010001111001…
…0110111001111101000000
31210120002002221001011211100
43013210132112321331000
53244143432003202102
645100140351414400
72613554061502266
oct307443626717500
953502087034740
1013714339897152
114408245381364
121655b20824400
13786344c90aab
14355ac5a00436
1518bb1c612a1c
hexc791e5b9f40

13714339897152 has 672 divisors, whose sum is σ = 42846480443520. Its totient is φ = 4180616478720.

The previous prime is 13714339897103. The next prime is 13714339897163. The reversal of 13714339897152 is 25179893341731.

13714339897152 is a `hidden beast` number, since 1 + 3 + 7 + 1 + 4 + 3 + 398 + 97 + 152 = 666.

It is a super-2 number, since 2×137143398971522 (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 13714339897152.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9260188252 + ... + 9260189732.

Almost surely, 213714339897152 is an apocalyptic number.

13714339897152 is a gapful number since it is divisible by the number (12) 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 13714339897152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21423240221760).

13714339897152 is an abundant number, since it is smaller than the sum of its proper divisors (29132140546368).

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

13714339897152 is a wasteful number, since it uses less digits than its factorization.

13714339897152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1831 (or 1818 counting only the distinct ones).

The product of its digits is 34292160, while the sum is 63.

The spelling of 13714339897152 in words is "thirteen trillion, seven hundred fourteen billion, three hundred thirty-nine million, eight hundred ninety-seven thousand, one hundred fifty-two".