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14130050743872 = 2634723114912043
BaseRepresentation
bin1100110110011110100010…
…1001111011111001000000
31212000211010112100020220000
43031213220221323321000
53323001320442300442
650015131121520000
72655601554421200
oct315475051737100
955024115306800
1014130050743872
1145585803033a8
1217025b94a3000
137b65c54b462b
1436bc80586400
1519784d436d4c
hexcd9e8a7be40

14130050743872 has 840 divisors, whose sum is σ = 50637928492800. Its totient is φ = 3880383252480.

The previous prime is 14130050743847. The next prime is 14130050743909. The reversal of 14130050743872 is 27834705003141.

14130050743872 is a `hidden beast` number, since 1 + 4 + 1 + 30 + 0 + 507 + 43 + 8 + 72 = 666.

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 119 ways as a sum of consecutive naturals, for example, 1173293883 + ... + 1173305925.

Almost surely, 214130050743872 is an apocalyptic number.

14130050743872 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 14130050743872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25318964246400).

14130050743872 is an abundant number, since it is smaller than the sum of its proper divisors (36507877748928).

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

14130050743872 is a wasteful number, since it uses less digits than its factorization.

14130050743872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12261 (or 12235 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 14130050743872 in words is "fourteen trillion, one hundred thirty billion, fifty million, seven hundred forty-three thousand, eight hundred seventy-two".