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14014122142020 = 2235711131053122157
BaseRepresentation
bin1100101111101110101011…
…0001011010100101000100
31211121201220021020002200120
43023323222301122211010
53314101410232021040
645445555425341540
72644326003521220
oct313735261324504
954551807202616
1014014122142020
1145133a0668a40
1216a40451978b0
137a86ab9599c0
14366403c5b780
15194815b0b7d0
hexcbeeac5a944

14014122142020 has 384 divisors, whose sum is σ = 52692640100352. Its totient is φ = 2687646873600.

The previous prime is 14014122141997. The next prime is 14014122142039. The reversal of 14014122142020 is 2024122141041.

It is a happy number.

It is a super-2 number, since 2×140141221420202 (a number of 27 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 632480782 + ... + 632502938.

It is an arithmetic number, because the mean of its divisors is an integer number (137220416928).

Almost surely, 214014122142020 is an apocalyptic number.

14014122142020 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 14014122142020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26346320050176).

14014122142020 is an abundant number, since it is smaller than the sum of its proper divisors (38678517958332).

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

14014122142020 is a wasteful number, since it uses less digits than its factorization.

14014122142020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32731 (or 32729 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 14014122142020 its reverse (2024122141041), we get a palindrome (16038244283061).

The spelling of 14014122142020 in words is "fourteen trillion, fourteen billion, one hundred twenty-two million, one hundred forty-two thousand, twenty".