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14287106609328 = 2437261383260003
BaseRepresentation
bin1100111111100111100111…
…1010100001000010110000
31212120211112000122212112210
43033321321322201002300
53333034443242444303
650215223422052120
73003131551305600
oct317717172410260
955524460585483
1014287106609328
114609145242713
121728b2b11a040
137c83647c9ab7
143756dd076c00
1519b9916b8203
hexcfe79ea10b0

14287106609328 has 240 divisors, whose sum is σ = 43752158539776. Its totient is φ = 4004613204480.

The previous prime is 14287106609207. The next prime is 14287106609333. The reversal of 14287106609328 is 82390660178241.

It is a happy number.

It is a super-2 number, since 2×142871066093282 (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

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 47 ways as a sum of consecutive naturals, for example, 54819775 + ... + 55079777.

Almost surely, 214287106609328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14287106609328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21876079269888).

14287106609328 is an abundant number, since it is smaller than the sum of its proper divisors (29465051930448).

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

14287106609328 is a wasteful number, since it uses less digits than its factorization.

14287106609328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260472 (or 260459 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 57.

The spelling of 14287106609328 in words is "fourteen trillion, two hundred eighty-seven billion, one hundred six million, six hundred nine thousand, three hundred twenty-eight".