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14342144544 = 253271331127139
BaseRepresentation
bin11010101101101101…
…11100001000100000
31101000112021102122200
431112312330020200
5213333042111134
610331053533200
71015261134330
oct152666741040
941015242580
1014342144544
11609a848522
1229431a4200
131477474680
149a0adb0c0
1558e1b9499
hex356dbc220

14342144544 has 576 divisors, whose sum is σ = 52600504320. Its totient is φ = 3605575680.

The previous prime is 14342144543. The next prime is 14342144563. The reversal of 14342144544 is 44544124341.

14342144544 is a `hidden beast` number, since 1 + 434 + 214 + 4 + 5 + 4 + 4 = 666.

It is a super-2 number, since 2×143421445442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14342144499 and 14342144508.

It is not an unprimeable number, because it can be changed into a prime (14342144543) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 103180827 + ... + 103180965.

It is an arithmetic number, because the mean of its divisors is an integer number (91320320).

Almost surely, 214342144544 is an apocalyptic number.

14342144544 is a gapful number since it is divisible by the number (14) 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 14342144544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26300252160).

14342144544 is an abundant number, since it is smaller than the sum of its proper divisors (38258359776).

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

14342144544 is a wasteful number, since it uses less digits than its factorization.

14342144544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 322 counting only the distinct ones).

The product of its digits is 122880, while the sum is 36.

Adding to 14342144544 its reverse (44544124341), we get a palindrome (58886268885).

The spelling of 14342144544 in words is "fourteen billion, three hundred forty-two million, one hundred forty-four thousand, five hundred forty-four".