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42524122142524 = 2211263109711033037
BaseRepresentation
bin10011010101100111010110…
…01100011101011100111100
312120120021012012001101021011
421222303223030131130330
521033203400232030044
6230235151221445004
711646160250205331
oct1152635314353474
9176507165041234
1042524122142524
1112605419391030
124929562570764
131a960136700c9
14a7026db00988
154db23b3e9134
hex26aceb31d73c

42524122142524 has 96 divisors (see below), whose sum is σ = 81666209028096. Its totient is φ = 19214328122880.

The previous prime is 42524122142507. The next prime is 42524122142587.

42524122142524 is nontrivially palindromic in base 10.

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, 14002014334 + ... + 14002017370.

It is an arithmetic number, because the mean of its divisors is an integer number (850689677376).

Almost surely, 242524122142524 is an apocalyptic number.

42524122142524 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42524122142524 is a deficient number, since it is larger than the sum of its proper divisors (39142086885572).

42524122142524 is a wasteful number, since it uses less digits than its factorization.

42524122142524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5515 (or 5513 counting only the distinct ones).

The product of its digits is 409600, while the sum is 40.

It can be divided in two parts, 4252412 and 2142524, that added together give a palindrome (6394936).

The spelling of 42524122142524 in words is "forty-two trillion, five hundred twenty-four billion, one hundred twenty-two million, one hundred forty-two thousand, five hundred twenty-four".

Divisors: 1 2 4 11 22 44 263 526 1052 1097 1103 2194 2206 2893 3037 4388 4412 5786 6074 11572 12067 12133 12148 24134 24266 33407 48268 48532 66814 133628 288511 290089 577022 580178 798731 1154044 1160356 1209991 1597462 2419982 3173621 3190979 3194924 3331589 3349811 4839964 6347242 6381958 6663178 6699622 8786041 12694484 12763916 13309901 13326356 13399244 17572082 26619802 35144164 36647479 36847921 53239604 73294958 73695842 146589916 147391684 318227633 636455266 876207907 881000293 1272910532 1752415814 1762000586 3500503963 3504831628 3524001172 3674742667 7001007926 7349485334 9638286977 9691003223 14002015852 14698970668 19276573954 19382006446 38553147908 38764012892 40422169337 80844338674 161688677348 966457321421 1932914642842 3865829285684 10631030535631 21262061071262 42524122142524