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42001034412141 = 3273126638075819
BaseRepresentation
bin10011000110011001000001…
…01111001000000001101101
312111201021000022012102222100
421203030200233020001231
521001121104302142031
6225155001524205313
711563321533645450
oct1143144057100155
9174637008172870
1042001034412141
11124235a1a63022
1248640b9539839
131a588b022730c
14a52c0a4b3497
154cc823926de6
hex263320bc806d

42001034412141 has 48 divisors (see below), whose sum is σ = 71598540349440. Its totient is φ = 23217653717280.

The previous prime is 42001034412119. The next prime is 42001034412199. The reversal of 42001034412141 is 14121443010024.

42001034412141 is a `hidden beast` number, since 4 + 2 + 0 + 0 + 1 + 0 + 3 + 441 + 214 + 1 = 666.

It is not a de Polignac number, because 42001034412141 - 213 = 42001034403949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42001034412101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1162930 + ... + 9238748.

It is an arithmetic number, because the mean of its divisors is an integer number (1491636257280).

Almost surely, 242001034412141 is an apocalyptic number.

It is an amenable number.

42001034412141 is a deficient number, since it is larger than the sum of its proper divisors (29597505937299).

42001034412141 is a wasteful number, since it uses less digits than its factorization.

42001034412141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8078526 (or 8078523 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 42001034412141 its reverse (14121443010024), we get a palindrome (56122477422165).

The spelling of 42001034412141 in words is "forty-two trillion, one billion, thirty-four million, four hundred twelve thousand, one hundred forty-one".

Divisors: 1 3 7 9 21 31 63 93 217 279 651 1953 2663 7989 18641 23967 55923 82553 167769 247659 577871 742977 1733613 5200839 8075819 24227457 56530733 72682371 169592199 250350389 508776597 751051167 1752452723 2253153501 5257358169 15772074507 21505905997 64517717991 150541341979 193553153973 451624025937 666683085907 1354872077811 2000049257721 4666781601349 6000147773163 14000344804047 42001034412141