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24145454142 = 2322358322353
BaseRepresentation
bin10110011111001011…
…100110010000111110
32022022201221011021100
4112133023212100332
5343422214013032
615031532513530
71513226655015
oct263713462076
968281834240
1024145454142
11a270530087
12481a31b8a6
13237a496094
141250a9da7c
15964b7397c
hex59f2e643e

24145454142 has 24 divisors (see below), whose sum is σ = 54589723344. Its totient is φ = 7698550464.

The previous prime is 24145454111. The next prime is 24145454153.

24145454142 is a `hidden beast` number, since 2 + 414 + 54 + 54 + 142 = 666.

24145454142 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 24145454097 and 24145454106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29160763 + ... + 29161590.

It is an arithmetic number, because the mean of its divisors is an integer number (2274571806).

Almost surely, 224145454142 is an apocalyptic number.

24145454142 is an abundant number, since it is smaller than the sum of its proper divisors (30444269202).

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

24145454142 is a wasteful number, since it uses less digits than its factorization.

24145454142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58322384 (or 58322381 counting only the distinct ones).

The product of its digits is 102400, while the sum is 36.

It can be divided in two parts, 2414 and 5454142, that added together give a triangular number (5456556 = T3303).

The spelling of 24145454142 in words is "twenty-four billion, one hundred forty-five million, four hundred fifty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 58322353 116644706 174967059 349934118 524901177 1049802354 1341414119 2682828238 4024242357 8048484714 12072727071 24145454142