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442513140262644 = 2231117593342345239
BaseRepresentation
bin110010010011101101001111…
…0100010001010011011110100
32011000210211202120222012022010
41210213122132202022123310
5431000113402401401034
64205051421421004220
7162131343064534323
oct14447323642123364
92130724676865263
10442513140262644
11118aa8850425840
124176a0173b3670
1315cbba6b969089
147b3ba70a340ba
153625bb03673e9
hex192769e88a6f4

442513140262644 has 96 divisors (see below), whose sum is σ = 1212870240691200. Its totient is φ = 124067855234560.

The previous prime is 442513140262591. The next prime is 442513140262657. The reversal of 442513140262644 is 446262041315244.

It is a junction number, because it is equal to n+sod(n) for n = 442513140262593 and 442513140262602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1671040224 + ... + 1671305015.

It is an arithmetic number, because the mean of its divisors is an integer number (12634065007200).

Almost surely, 2442513140262644 is an apocalyptic number.

442513140262644 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442513140262644 is an abundant number, since it is smaller than the sum of its proper divisors (770357100428556).

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

442513140262644 is a wasteful number, since it uses less digits than its factorization.

442513140262644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3342345333 (or 3342345331 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 48.

Adding to 442513140262644 its reverse (446262041315244), we get a palindrome (888775181577888).

The spelling of 442513140262644 in words is "four hundred forty-two trillion, five hundred thirteen billion, one hundred forty million, two hundred sixty-two thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 59 66 68 102 118 132 177 187 204 236 354 374 561 649 708 748 1003 1122 1298 1947 2006 2244 2596 3009 3894 4012 6018 7788 11033 12036 22066 33099 44132 66198 132396 3342345239 6684690478 10027035717 13369380956 20054071434 36765797629 40108142868 56819869063 73531595258 110297392887 113639738126 147063190516 170459607189 197198369101 220594785774 227279476252 340919214378 394396738202 441189571548 591595107303 625018559693 681838428756 788793476404 1183190214606 1250037119386 1875055679079 2169182060111 2366380429212 2500074238772 3352372274717 3750111358158 4338364120222 6507546180333 6704744549434 7500222716316 8676728240444 10057116824151 13015092360666 13409489098868 20114233648302 26030184721332 36876095021887 40228467296604 73752190043774 110628285065661 147504380087548 221256570131322 442513140262644