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42334331424 = 2537115727047
BaseRepresentation
bin100111011011010100…
…101010001000100000
311001021100111212012220
4213123110222020200
51143200042101144
631240443351040
73026040610530
oct473324521040
9131240455186
1042334331424
1116a54698870
128255822480
133cb8888068
1420986154c0
15117b8da919
hex9db52a220

42334331424 has 96 divisors (see below), whose sum is σ = 138548745216. Its totient is φ = 10995928320.

The previous prime is 42334331407. The next prime is 42334331437. The reversal of 42334331424 is 42413343324.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2856132 + ... + 2870915.

It is an arithmetic number, because the mean of its divisors is an integer number (1443216096).

Almost surely, 242334331424 is an apocalyptic number.

42334331424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42334331424 is an abundant number, since it is smaller than the sum of its proper divisors (96214413792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42334331424 is a wasteful number, since it uses less digits than its factorization.

42334331424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5727078 (or 5727070 counting only the distinct ones).

The product of its digits is 82944, while the sum is 33.

Adding to 42334331424 its reverse (42413343324), we get a palindrome (84747674748).

The spelling of 42334331424 in words is "forty-two billion, three hundred thirty-four million, three hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 616 672 924 1056 1232 1848 2464 3696 7392 5727047 11454094 17181141 22908188 34362282 40089329 45816376 62997517 68724564 80178658 91632752 120267987 125995034 137449128 160357316 183265504 188992551 240535974 251990068 274898256 320714632 377985102 440982619 481071948 503980136 549796512 641429264 755970204 881965238 962143896 1007960272 1282858528 1322947857 1511940408 1763930476 1924287792 2015920544 2645895714 3023880816 3527860952 3848575584 5291791428 6047761632 7055721904 10583582856 14111443808 21167165712 42334331424