Search a number
-
+
4301131140 = 22325118120233
BaseRepresentation
bin1000000000101111…
…00000110110000100
3102002202100002201100
410000113200312010
532302042144030
61550444100100
7211405003635
oct40027406604
912082302640
104301131140
111907970539
12a00534630
13537127317
142cb33d88c
151a2909360
hex1005e0d84

4301131140 has 72 divisors (see below), whose sum is σ = 13058457048. Its totient is φ = 1145940480.

The previous prime is 4301131139. The next prime is 4301131147. The reversal of 4301131140 is 411311034.

It can be written as a sum of positive squares in 4 ways, for example, as 1289097216 + 3012033924 = 35904^2 + 54882^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4301131147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202464 + ... + 222696.

It is an arithmetic number, because the mean of its divisors is an integer number (181367459).

Almost surely, 24301131140 is an apocalyptic number.

It is an amenable number.

4301131140 is an abundant number, since it is smaller than the sum of its proper divisors (8757325908).

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

4301131140 is a wasteful number, since it uses less digits than its factorization.

4301131140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21429 (or 21424 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 4301131140 is about 65583.0095375319. The cubic root of 4301131140 is about 1626.2759071205.

Adding to 4301131140 its reverse (411311034), we get a palindrome (4712442174).

The spelling of 4301131140 in words is "four billion, three hundred one million, one hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1181 2362 3543 4724 5905 7086 10629 11810 14172 17715 20233 21258 23620 35430 40466 42516 53145 60699 70860 80932 101165 106290 121398 182097 202330 212580 242796 303495 364194 404660 606990 728388 910485 1213980 1820970 3641940 23895173 47790346 71685519 95580692 119475865 143371038 215056557 238951730 286742076 358427595 430113114 477903460 716855190 860226228 1075282785 1433710380 2150565570 4301131140