Search a number
-
+
2145350142 = 232139419743
BaseRepresentation
bin111111111011111…
…0111000111111110
312112111212002010200
41333313313013332
513343202201032
6552514144330
7104110114065
oct17767670776
95474762120
102145350142
11a00aa3351
124ba5820a6
13282608970
14164cd31dc
15c852447c
hex7fdf71fe

2145350142 has 48 divisors (see below), whose sum is σ = 5011651008. Its totient is φ = 659338560.

The previous prime is 2145350111. The next prime is 2145350147. The reversal of 2145350142 is 2410535412.

2145350142 is a `hidden beast` number, since 21 + 453 + 50 + 142 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2145350147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 215323 + ... + 225065.

It is an arithmetic number, because the mean of its divisors is an integer number (104409396).

Almost surely, 22145350142 is an apocalyptic number.

2145350142 is an abundant number, since it is smaller than the sum of its proper divisors (2866300866).

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

2145350142 is a wasteful number, since it uses less digits than its factorization.

2145350142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10705 (or 10702 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2145350142 is about 46317.9246296723. The cubic root of 2145350142 is about 1289.7317596221.

Adding to 2145350142 its reverse (2410535412), we get a palindrome (4555885554).

The spelling of 2145350142 in words is "two billion, one hundred forty-five million, three hundred fifty thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 941 1882 2823 5646 8469 9743 12233 16938 19486 24466 29229 36699 58458 73398 87687 110097 126659 175374 220194 253318 379977 759954 1139931 2279862 9168163 18336326 27504489 55008978 82513467 119186119 165026934 238372238 357558357 715116714 1072675071 2145350142