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42419238750267 = 3171917695662823
BaseRepresentation
bin10011010010100011111111…
…01010000100100000111011
312120012020110200110000012120
421221101333222010200323
521024444100110002032
6230115043530412323
711635455165114531
oct1151217752044073
9176166420400176
1042419238750267
1112574997453065
1249111712910a3
131a8916a20b962
14a69160294151
154d864d5dd62c
hex26947fa8483b

42419238750267 has 32 divisors (see below), whose sum is σ = 60277816811520. Its totient is φ = 26442207559680.

The previous prime is 42419238750107. The next prime is 42419238750281. The reversal of 42419238750267 is 76205783291424.

42419238750267 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42419238750267 - 220 = 42419237701691 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42419238750267.

It is not an unprimeable number, because it can be changed into a prime (42419238750067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4659418 + ... + 10322240.

It is an arithmetic number, because the mean of its divisors is an integer number (1883681775360).

It is a 1-persistent number, because it is pandigital, but 2⋅42419238750267 = 84838477500534 is not.

Almost surely, 242419238750267 is an apocalyptic number.

42419238750267 is a deficient number, since it is larger than the sum of its proper divisors (17858578061253).

42419238750267 is a wasteful number, since it uses less digits than its factorization.

42419238750267 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5663803.

The product of its (nonzero) digits is 40642560, while the sum is 60.

The spelling of 42419238750267 in words is "forty-two trillion, four hundred nineteen billion, two hundred thirty-eight million, seven hundred fifty thousand, two hundred sixty-seven".

Divisors: 1 3 17 51 191 573 769 2307 3247 9741 13073 39219 146879 440637 2496943 5662823 7490829 16988469 96267991 288803973 1081599193 3244797579 4354710887 13064132661 18387186281 55161558843 74030085079 222090255237 831749779417 2495249338251 14139746250089 42419238750267