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42979142999103 = 33110315744963649
BaseRepresentation
bin10011100010110110111001…
…00011010001110000111111
312122011202200101001212021220
421301123130203101300333
521113132241101432403
6231224202401524423
712024066141524043
oct1161333443216077
9178152611055256
1042979142999103
1112770396839323
1249a1790043713
131ac9bb9cccccc
14a882b7364023
154e7ebd35d953
hex2716dc8d1c3f

42979142999103 has 64 divisors (see below), whose sum is σ = 60243655680000. Its totient is φ = 27223176314880.

The previous prime is 42979142999063. The next prime is 42979142999119. The reversal of 42979142999103 is 30199924197924.

It is a Cunningham number, because it is equal to 65558482-1.

It is not a de Polignac number, because 42979142999103 - 221 = 42979140901951 is a prime.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42979142999173) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 675220623 + ... + 675284271.

It is an arithmetic number, because the mean of its divisors is an integer number (941307120000).

Almost surely, 242979142999103 is an apocalyptic number.

42979142999103 is a deficient number, since it is larger than the sum of its proper divisors (17264512680897).

42979142999103 is a wasteful number, since it uses less digits than its factorization.

42979142999103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64392.

The product of its (nonzero) digits is 79361856, while the sum is 69.

The spelling of 42979142999103 in words is "forty-two trillion, nine hundred seventy-nine billion, one hundred forty-two million, nine hundred ninety-nine thousand, one hundred three".

Divisors: 1 3 31 93 103 157 309 449 471 1347 3193 4867 9579 13919 14601 16171 41757 46247 48513 63649 70493 138741 190947 211479 501301 1433657 1503903 1973119 2185283 4300971 5919357 6555847 6555849 7260779 9992893 19667541 21782337 28578401 29978679 85735203 203231257 225084149 309779683 609693771 675252447 885930431 929339049 1029267979 2657791293 2943575303 3087803937 4486808957 8830725909 13460426871 31907307349 91250834393 95721922047 139091077667 273752503179 417273233001 462141322571 1386423967713 14326380999701 42979142999103