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14401122420 = 2235475106781
BaseRepresentation
bin11010110100101111…
…11011000001110100
31101011122020211002110
431122113323001310
5213443141404140
610341002011020
71016605343436
oct153227730164
941148224073
1014401122420
116120070473
12295aaa6a70
131486754319
149a8890656
15594469380
hex35a5fb074

14401122420 has 48 divisors (see below), whose sum is σ = 41181090048. Its totient is φ = 3758590080.

The previous prime is 14401122391. The next prime is 14401122479. The reversal of 14401122420 is 2422110441.

It is a super-3 number, since 3×144011224203 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2550571 + ... + 2556210.

It is an arithmetic number, because the mean of its divisors is an integer number (857939376).

Almost surely, 214401122420 is an apocalyptic number.

14401122420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14401122420 is an abundant number, since it is smaller than the sum of its proper divisors (26779967628).

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

14401122420 is a wasteful number, since it uses less digits than its factorization.

14401122420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5106840 (or 5106838 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 14401122420 its reverse (2422110441), we get a palindrome (16823232861).

The spelling of 14401122420 in words is "fourteen billion, four hundred one million, one hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 940 1410 2820 5106781 10213562 15320343 20427124 25533905 30640686 51067810 61281372 76601715 102135620 153203430 240018707 306406860 480037414 720056121 960074828 1200093535 1440112242 2400187070 2880224484 3600280605 4800374140 7200561210 14401122420