Search a number
-
+
142438484834241 = 34147731372719091
BaseRepresentation
bin100000011000110000001011…
…010010100111011111000001
3200200022222121220122220101020
4200120300023102213133001
5122132203004104143431
61222535200411500053
742000561303265101
oct4030601322473701
9620288556586336
10142438484834241
1141426905363a62
1213b85648457629
136162b7879346b
1427260b91bb201
151170242856696
hex818c0b4a77c1

142438484834241 has 128 divisors (see below), whose sum is σ = 203652458053632. Its totient is φ = 88439620608000.

The previous prime is 142438484834207. The next prime is 142438484834263.

142438484834241 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 142438484834241 - 222 = 142438480639937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (142438484834141) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15668072106 + ... + 15668081196.

It is an arithmetic number, because the mean of its divisors is an integer number (1591034828544).

Almost surely, 2142438484834241 is an apocalyptic number.

It is an amenable number.

142438484834241 is a deficient number, since it is larger than the sum of its proper divisors (61213973219391).

142438484834241 is a wasteful number, since it uses less digits than its factorization.

142438484834241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9663.

The product of its digits is 75497472, while the sum is 60.

The spelling of 142438484834241 in words is "one hundred forty-two trillion, four hundred thirty-eight billion, four hundred eighty-four million, eight hundred thirty-four thousand, two hundred forty-one".

Divisors: 1 3 41 47 73 123 137 141 219 271 411 813 1927 2993 3431 5617 5781 6439 8979 9091 10001 10293 11111 12737 16851 19317 19783 27273 30003 33333 37127 38211 59349 111381 140671 263999 372731 410041 422013 427277 470047 522217 663643 791997 811103 929801 1118193 1230123 1245467 1281831 1410141 1522207 1566651 1744969 1990929 2433309 2463661 2710271 2789403 3736401 4566621 5234907 7390983 8130813 17518357 19271927 27209363 31191221 38121841 51064147 52555071 57815781 58536949 71543729 81628089 90919091 93573663 101010101 111121111 114365523 115792067 127382737 153192441 175610847 179847253 214631187 272757273 303030303 333363333 337521557 347376201 382148211 539541759 1012564671 1278840061 2400014909 3727682731 3836520183 4273197277 4747474747 5222692217 7200044727 7373737373 8452820891 11183048193 12819591831 13838383837 14242424241 15668076651 15863513179 22121212119 24639073661 25358462673 41515151511 47590539537 73917220983 175201088357 346565656531 525603265071 650404040339 1010202020101 1039696969593 1158036462067 1951212121017 3030606060303 3474109386201 47479494944747 142438484834241