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42042666624024 = 2331131316136571
BaseRepresentation
bin10011000111100110100100…
…01101011010010000011000
312111212020110201112221020210
421203303102031122100120
521002311340123432044
6225230045011051120
711566324320626463
oct1143632215322030
9174766421487223
1042042666624024
111243a216294000
124870197ba0aa0
131a5c7b64b0311
14a54c3975c2da
154cd95d8721b9
hex263cd235a418

42042666624024 has 64 divisors (see below), whose sum is σ = 115609436484480. Its totient is φ = 12740201997600.

The previous prime is 42042666623999. The next prime is 42042666624061.

42042666624024 is nontrivially palindromic in base 10.

42042666624024 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 658036342 + ... + 658100229.

It is an arithmetic number, because the mean of its divisors is an integer number (1806397445070).

Almost surely, 242042666624024 is an apocalyptic number.

42042666624024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42042666624024 is an abundant number, since it is smaller than the sum of its proper divisors (73566769860456).

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

42042666624024 is a wasteful number, since it uses less digits than its factorization.

42042666624024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316136613 (or 1316136587 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 48.

The spelling of 42042666624024 in words is "forty-two trillion, forty-two billion, six hundred sixty-six million, six hundred twenty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1331 1452 2662 2904 3993 5324 7986 10648 15972 31944 1316136571 2632273142 3948409713 5264546284 7896819426 10529092568 14477502281 15793638852 28955004562 31587277704 43432506843 57910009124 86865013686 115820018248 159252525091 173730027372 318505050182 347460054744 477757575273 637010100364 955515150546 1274020200728 1751777776001 1911030301092 3503555552002 3822060602184 5255333328003 7007111104004 10510666656006 14014222208008 21021333312012 42042666624024