Search a number
-
+
7141114770 = 2357311512833
BaseRepresentation
bin1101010011010010…
…01100001110010010
3200102200021012212020
412221221030032102
5104111111133040
63140334512310
7341651321406
oct65151141622
920380235766
107141114770
113034a78249
121473665696
1389a6137ca
144ba5b1106
152bbde0cd0
hex1a9a4c392

7141114770 has 64 divisors (see below), whose sum is σ = 17394683904. Its totient is φ = 1875916800.

The previous prime is 7141114769. The next prime is 7141114777. The reversal of 7141114770 is 774111417.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (7141114777) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2519274 + ... + 2522106.

It is an arithmetic number, because the mean of its divisors is an integer number (271791936).

Almost surely, 27141114770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7141114770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8697341952).

7141114770 is an abundant number, since it is smaller than the sum of its proper divisors (10253569134).

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

7141114770 is a wasteful number, since it uses less digits than its factorization.

7141114770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4067.

The product of its (nonzero) digits is 5488, while the sum is 33.

The square root of 7141114770 is about 84505.1168273259. The cubic root of 7141114770 is about 1925.7001799922.

The spelling of 7141114770 in words is "seven billion, one hundred forty-one million, one hundred fourteen thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 73 146 219 365 438 730 1095 1151 2190 2302 2833 3453 5666 5755 6906 8499 11510 14165 16998 17265 28330 34530 42495 84023 84990 168046 206809 252069 413618 420115 504138 620427 840230 1034045 1240854 1260345 2068090 2520690 3102135 3260783 6204270 6521566 9782349 16303915 19564698 32607830 48911745 97823490 238037159 476074318 714111477 1190185795 1428222954 2380371590 3570557385 7141114770