Search a number
-
+
442430344303310 = 2511139208126895171
BaseRepresentation
bin110010010011000110101011…
…1100000101001001011001110
32011000111221001101202200010202
41210212031113200221023032
5430442234321120201220
64204545405544133502
7162122352242513636
oct14446152740511316
92130457041680122
10442430344303310
11118a76723251070
1241755b6b167292
1315cb40054c026c
147b37a588076c6
1536239666ab275
hex19263578292ce

442430344303310 has 128 divisors (see below), whose sum is σ = 875937880742400. Its totient is φ = 159559335936000.

The previous prime is 442430344303303. The next prime is 442430344303393. The reversal of 442430344303310 is 13303443034244.

It is a happy number.

It is a super-2 number, since 2×4424303443033102 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85559917025 + ... + 85559922195.

It is an arithmetic number, because the mean of its divisors is an integer number (6843264693300).

Almost surely, 2442430344303310 is an apocalyptic number.

442430344303310 is a deficient number, since it is larger than the sum of its proper divisors (433507536439090).

442430344303310 is a wasteful number, since it uses less digits than its factorization.

442430344303310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10098.

The product of its (nonzero) digits is 497664, while the sum is 38.

Adding to 442430344303310 its reverse (13303443034244), we get a palindrome (455733787337554).

The spelling of 442430344303310 in words is "four hundred forty-two trillion, four hundred thirty billion, three hundred forty-four million, three hundred three thousand, three hundred ten".

Divisors: 1 2 5 10 11 22 55 110 139 278 695 1390 1529 2081 2689 3058 4162 5171 5378 7645 10342 10405 13445 15290 20810 22891 25855 26890 29579 45782 51710 56881 59158 113762 114455 147895 228910 284405 289259 295790 373771 568810 578518 718769 747542 1437538 1446295 1868855 2892590 3181849 3593845 3737710 4111481 5595809 6363698 7187690 7906459 8222962 10760851 11191618 13904819 15812918 15909245 20557405 21521702 27809638 27979045 31818490 39532295 41114810 53804255 55958090 61553899 69524095 79064590 107608510 118369361 123107798 139048190 152953009 236738722 305906018 307769495 591846805 615538990 764765045 777817451 1183693610 1495758289 1529530090 1555634902 1932769841 2991516578 3865539682 3889087255 7478791445 7778174510 8555991961 9663849205 14957582890 16453341179 17111983922 19327698410 21260468251 28935928339 32906682358 42520936502 42779959805 57871856678 82266705895 85559919610 106302341255 144679641695 164533411790 212604682510 289359283390 318295211729 636590423458 1591476058645 3182952117290 4022094039121 8044188078242 20110470195605 40220940391210 44243034430331 88486068860662 221215172151655 442430344303310