Search a number
-
+
2142745008 = 243175944507
BaseRepresentation
bin111111110110111…
…1011000110110000
312112022221201120020
41333231323012300
513342020320013
6552342243440
7104046013665
oct17755730660
95468851506
102142745008
119aa584048
124b9726580
13281c05c71
14164815a6c
15c81ac623
hex7fb7b1b0

2142745008 has 80 divisors (see below), whose sum is σ = 5960511360. Its totient is φ = 660825088.

The previous prime is 2142744977. The next prime is 2142745013. The reversal of 2142745008 is 8005472412.

It is a self number, because there is not a number n which added to its sum of digits gives 2142745008.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25891 + ... + 70397.

It is an arithmetic number, because the mean of its divisors is an integer number (74506392).

Almost surely, 22142745008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2142745008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2980255680).

2142745008 is an abundant number, since it is smaller than the sum of its proper divisors (3817766352).

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

2142745008 is a wasteful number, since it uses less digits than its factorization.

2142745008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44594 (or 44588 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The square root of 2142745008 is about 46289.7937778945. The cubic root of 2142745008 is about 1289.2095006656.

The spelling of 2142745008 in words is "two billion, one hundred forty-two million, seven hundred forty-five thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 59 68 102 118 136 177 204 236 272 354 408 472 708 816 944 1003 1416 2006 2832 3009 4012 6018 8024 12036 16048 24072 44507 48144 89014 133521 178028 267042 356056 534084 712112 756619 1068168 1513238 2136336 2269857 2625913 3026476 4539714 5251826 6052952 7877739 9079428 10503652 12105904 15755478 18158856 21007304 31510956 36317712 42014608 44640521 63021912 89281042 126043824 133921563 178562084 267843126 357124168 535686252 714248336 1071372504 2142745008