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484140423204 = 223289213032
BaseRepresentation
bin1110000101110010000…
…01001001100000100100
31201021122120121201212100
413002321001021200210
530413004422020304
61010224441252100
746656310461204
oct7027101114044
91637576551770
10484140423204
11177360713739
12799b5794030
13368674bc6c9
141960aba6404
15c8d8629439
hex70b9049824

484140423204 has 81 divisors (see below), whose sum is σ = 1238655076113. Its totient is φ = 159444419904.

The previous prime is 484140423199. The next prime is 484140423209. The reversal of 484140423204 is 402324041484.

The square root of 484140423204 is 695802.

It is a perfect power (a square), and thus also a powerful number.

484140423204 is a `hidden beast` number, since 4 + 8 + 41 + 404 + 2 + 3 + 204 = 666.

It is an interprime number because it is at equal distance from previous prime (484140423199) and next prime (484140423209).

It can be written as a sum of positive squares in only one way, i.e., 92965229604 + 391175193600 = 304902^2 + 625440^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (484140423209) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 371557617 + ... + 371558919.

Almost surely, 2484140423204 is an apocalyptic number.

484140423204 is the 695802-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 484140423204

484140423204 is an abundant number, since it is smaller than the sum of its proper divisors (754514652909).

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

484140423204 is an equidigital number, since it uses as much as digits as its factorization.

484140423204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2794 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Multiplying 484140423204 by its sum of digits (36), we get a square (17429055235344 = 41748122).

484140423204 divided by its sum of digits (36) gives a square (13448345089 = 1159672).

Adding to 484140423204 its reverse (402324041484), we get a palindrome (886464464688).

The spelling of 484140423204 in words is "four hundred eighty-four billion, one hundred forty million, four hundred twenty-three thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 356 534 801 1068 1303 1602 2606 3204 3909 5212 7818 7921 11727 15636 15842 23454 23763 31684 46908 47526 71289 95052 115967 142578 231934 285156 347901 463868 695802 1043703 1391604 1697809 2087406 3395618 4174812 5093427 6791236 10186854 10321063 15280281 20373708 20642126 30560562 30963189 41284252 61121124 61926378 92889567 123852756 151105001 185779134 302210002 371558268 453315003 604420004 906630006 1359945009 1813260012 2719890018 5439780036 13448345089 26896690178 40345035267 53793380356 80690070534 121035105801 161380141068 242070211602 484140423204