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14142261420 = 22345721631093
BaseRepresentation
bin11010010101111000…
…11100100010101100
31100111121011022120000
431022330130202230
5212430404331140
610255153424300
71010313144600
oct151274344254
940447138500
1014142261420
115aa7a35361
1228a826b090
131444c2b631
14982349500
1557b884a30
hex34af1c8ac

14142261420 has 360 divisors, whose sum is σ = 51972150384. Its totient is φ = 3209746176.

The previous prime is 14142261401. The next prime is 14142261449. The reversal of 14142261420 is 2416224141.

14142261420 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 22 + 614 + 20 = 666.

14142261420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 12938394 + ... + 12939486.

Almost surely, 214142261420 is an apocalyptic number.

14142261420 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 14142261420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25986075192).

14142261420 is an abundant number, since it is smaller than the sum of its proper divisors (37829888964).

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

14142261420 is a wasteful number, since it uses less digits than its factorization.

14142261420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 14142261420 its reverse (2416224141), we get a palindrome (16558485561).

The spelling of 14142261420 in words is "fourteen billion, one hundred forty-two million, two hundred sixty-one thousand, four hundred twenty".