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42411442122 = 23271036315179
BaseRepresentation
bin100111011111111010…
…110011111111001010
311001110201121111012200
4213133322303333022
51143324312121442
631252240221030
73030665211210
oct473772637712
9131421544180
1042411442122
1116a94176215
12827760a776
133ccb8462aa
1420a4968cb0
15118356d34c
hex9dfeb3fca

42411442122 has 96 divisors (see below), whose sum is σ = 106226964480. Its totient is φ = 11978578080.

The previous prime is 42411442111. The next prime is 42411442127. The reversal of 42411442122 is 22124411424.

42411442122 is a `hidden beast` number, since 424 + 114 + 4 + 2 + 122 = 666.

It is not an unprimeable number, because it can be changed into a prime (42411442127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8186529 + ... + 8191707.

It is an arithmetic number, because the mean of its divisors is an integer number (1106530880).

Almost surely, 242411442122 is an apocalyptic number.

42411442122 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42411442122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53113482240).

42411442122 is an abundant number, since it is smaller than the sum of its proper divisors (63815522358).

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

42411442122 is a wasteful number, since it uses less digits than its factorization.

42411442122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5928 (or 5925 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

Adding to 42411442122 its reverse (22124411424), we get a palindrome (64535853546).

The spelling of 42411442122 in words is "forty-two billion, four hundred eleven million, four hundred forty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 103 126 206 309 618 631 721 927 1262 1442 1854 1893 2163 3786 4326 4417 5179 5679 6489 8834 10358 11358 12978 13251 15537 26502 31074 36253 39753 46611 64993 72506 79506 93222 108759 129986 194979 217518 326277 389958 454951 533437 584937 652554 909902 1066874 1169874 1364853 1600311 2729706 3200622 3267949 3734059 4094559 4800933 6535898 7468118 8189118 9601866 9803847 11202177 19607694 22404354 22875643 29411541 33606531 45751286 58823082 67213062 68626929 137253858 205880787 336598747 411761574 673197494 1009796241 2019592482 2356191229 3029388723 4712382458 6058777446 7068573687 14137147374 21205721061 42411442122