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14004421101432 = 233498543219313
BaseRepresentation
bin1100101111001010100010…
…0010111000011101111000
31211120210212012000011210000
43023302220202320131320
53313422023300221212
645441313042353000
72643533416163106
oct313625042703570
954523765004700
1014004421101432
11450a272687623
1216a219835b760
137a77c3b947b8
14365b636bac76
151944491041dc
hexcbca88b8778

14004421101432 has 80 divisors (see below), whose sum is σ = 39225923051040. Its totient is φ = 4668071710464.

The previous prime is 14004421101421. The next prime is 14004421101511. The reversal of 14004421101432 is 23410112440041.

14004421101432 is a `hidden beast` number, since 1 + 400 + 4 + 4 + 2 + 110 + 143 + 2 = 666.

14004421101432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×140044211014322 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 14004421101396 and 14004421101405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 63746208 + ... + 63965520.

It is an arithmetic number, because the mean of its divisors is an integer number (490324038138).

Almost surely, 214004421101432 is an apocalyptic number.

14004421101432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14004421101432 is an abundant number, since it is smaller than the sum of its proper divisors (25221501949608).

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

14004421101432 is a wasteful number, since it uses less digits than its factorization.

14004421101432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317874 (or 317861 counting only the distinct ones).

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

Adding to 14004421101432 its reverse (23410112440041), we get a palindrome (37414533541473).

The spelling of 14004421101432 in words is "fourteen trillion, four billion, four hundred twenty-one million, one hundred one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 98543 197086 219313 295629 394172 438626 591258 657939 788344 877252 886887 1182516 1315878 1754504 1773774 1973817 2365032 2631756 2660661 3547548 3947634 5263512 5321322 5921451 7095096 7895268 7981983 10642644 11842902 15790536 15963966 17764353 21285288 23685804 31927932 35528706 47371608 63855864 71057412 142114824 21611760959 43223521918 64835282877 86447043836 129670565754 172894087672 194505848631 259341131508 389011697262 518682263016 583517545893 778023394524 1167035091786 1556046789048 1750552637679 2334070183572 3501105275358 4668140367144 7002210550716 14004421101432