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142623326241 = 3211371012391613
BaseRepresentation
bin1000010011010100000…
…0110100000000100001
3111122010122221122211100
42010311000310000201
54314043032414431
6145304212505013
713206224161524
oct2046500640041
9448118848740
10142623326241
1155539170a60
122378431b169
13105ac211346
146c8dbc2bbb
153a9b1ad4e6
hex2135034021

142623326241 has 96 divisors (see below), whose sum is σ = 234219548160. Its totient is φ = 82869696000.

The previous prime is 142623326231. The next prime is 142623326243.

142623326241 is a `hidden beast` number, since 1 + 4 + 2 + 6 + 23 + 3 + 2 + 624 + 1 = 666.

142623326241 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 142623326241 - 27 = 142623326113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 142623326196 and 142623326205.

It is not an unprimeable number, because it can be changed into a prime (142623326243) 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 95 ways as a sum of consecutive naturals, for example, 88420351 + ... + 88421963.

It is an arithmetic number, because the mean of its divisors is an integer number (2439786960).

Almost surely, 2142623326241 is an apocalyptic number.

142623326241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

142623326241 is a deficient number, since it is larger than the sum of its proper divisors (91596221919).

142623326241 is a wasteful number, since it uses less digits than its factorization.

142623326241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007 (or 2004 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

It can be divided in two parts, 142623 and 326241, that added together give a palindrome (468864).

The spelling of 142623326241 in words is "one hundred forty-two billion, six hundred twenty-three million, three hundred twenty-six thousand, two hundred forty-one".

Divisors: 1 3 9 11 33 37 99 101 111 239 303 333 407 717 909 1111 1221 1613 2151 2629 3333 3663 3737 4839 7887 8843 9999 11211 14517 17743 23661 24139 26529 33633 41107 53229 59681 72417 79587 97273 123321 159687 162913 179043 217251 265529 291819 369963 385507 488739 537129 656491 796587 875457 893143 1156521 1466217 1792043 1969473 2389761 2679429 3469563 4240577 5376129 5908419 6027781 8038287 9824573 12721731 14263759 16128387 18083343 29473719 38165193 38936207 42791277 54250029 66305591 88421157 116808621 128373831 156901349 198916773 350425863 428298277 470704047 596750319 1284894831 1412112141 1440639659 3854684493 4321918977 12965756931 15847036249 47541108747 142623326241