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42124153505 = 5723317383431
BaseRepresentation
bin100111001110110010…
…111001001010100001
311000201201000201022112
4213032302321022201
51142232240403010
631203534445105
73020606253110
oct471662711241
9130651021275
1042124153505
1116956a94005
1281b7363795
133c84179225
142078743c77
151168220a05
hex9cecb92a1

42124153505 has 64 divisors (see below), whose sum is σ = 60770746368. Its totient is φ = 27406452480.

The previous prime is 42124153481. The next prime is 42124153531. The reversal of 42124153505 is 50535142124.

42124153505 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 42124153505 - 26 = 42124153441 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97735640 + ... + 97736070.

It is an arithmetic number, because the mean of its divisors is an integer number (949542912).

Almost surely, 242124153505 is an apocalyptic number.

It is an amenable number.

42124153505 is a deficient number, since it is larger than the sum of its proper divisors (18646592863).

42124153505 is a wasteful number, since it uses less digits than its factorization.

42124153505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166.

The product of its (nonzero) digits is 24000, while the sum is 32.

Adding to 42124153505 its reverse (50535142124), we get a palindrome (92659295629).

The spelling of 42124153505 in words is "forty-two billion, one hundred twenty-four million, one hundred fifty-three thousand, five hundred five".

Divisors: 1 5 7 23 35 115 161 317 383 431 805 1585 1915 2155 2219 2681 3017 7291 8809 9913 11095 13405 15085 36455 44045 49565 51037 61663 69391 121411 136627 165073 255185 308315 346955 607055 683135 825365 849877 956389 1155511 2792453 3142421 3796679 4249385 4781945 5777555 13962265 15712105 18983395 19547171 21996947 26576753 52328141 97735855 109984735 132883765 261640705 366296987 1203547243 1831484935 6017736215 8424830701 42124153505