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42122420405 = 5131923179733
BaseRepresentation
bin100111001110101100…
…010010000010110101
311000201120202122221122
4213032230102002311
51142231314423110
631203433353325
73020555444252
oct471654220265
9130646678848
1042122420405
111695600a99a
1281b6868845
133c839c0420
142078412429
151167ecc255
hex9ceb120b5

42122420405 has 96 divisors (see below), whose sum is σ = 60136796160. Its totient is φ = 28118638080.

The previous prime is 42122420383. The next prime is 42122420413. The reversal of 42122420405 is 50402422124.

It is not a de Polignac number, because 42122420405 - 214 = 42122404021 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57465419 + ... + 57466151.

It is an arithmetic number, because the mean of its divisors is an integer number (626424960).

Almost surely, 242122420405 is an apocalyptic number.

It is an amenable number.

42122420405 is a deficient number, since it is larger than the sum of its proper divisors (18014375755).

42122420405 is a wasteful number, since it uses less digits than its factorization.

42122420405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 26.

Adding to 42122420405 its reverse (50402422124), we get a palindrome (92524842529).

The spelling of 42122420405 in words is "forty-two billion, one hundred twenty-two million, four hundred twenty thousand, four hundred five".

Divisors: 1 5 13 19 31 65 79 95 155 247 361 395 403 589 733 1027 1235 1501 1805 2015 2449 2945 3665 4693 5135 7505 7657 9529 11191 12245 13927 19513 22723 23465 28519 31837 38285 46531 47645 55955 57907 69635 97565 113615 142595 145483 159185 181051 232655 264613 289535 295399 370747 431737 604903 727415 752791 884089 905255 1100233 1323065 1476995 1795117 1853735 2158685 3024515 3439969 3763955 4420445 5501165 5612581 8203003 8975585 11493157 14303029 17199845 20904427 23336521 28062905 34107223 41015015 57465785 71515145 104522135 106639039 116682605 170536115 271757551 443393899 533195195 648037237 1358787755 2216969495 3240186185 8424484081 42122420405