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42342214024 = 23111733783987
BaseRepresentation
bin100111011011110010…
…101110100110001000
311001021220100100010001
4213123302232212020
51143204101322044
631241324332344
73026164611055
oct473362564610
9131256310101
1042342214024
1116a59092110
1282583a40b4
133cba3b7c16
1420996a802c
15117c4462d4
hex9dbcae988

42342214024 has 64 divisors (see below), whose sum is σ = 91976938560. Its totient is φ = 18060349440.

The previous prime is 42342213989. The next prime is 42342214027. The reversal of 42342214024 is 42041224324.

It is a junction number, because it is equal to n+sod(n) for n = 42342213983 and 42342214001.

It is not an unprimeable number, because it can be changed into a prime (42342214027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 462159 + ... + 546145.

It is an arithmetic number, because the mean of its divisors is an integer number (1437139665).

Almost surely, 242342214024 is an apocalyptic number.

42342214024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42342214024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45988469280).

42342214024 is an abundant number, since it is smaller than the sum of its proper divisors (49634724536).

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

42342214024 is a wasteful number, since it uses less digits than its factorization.

42342214024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84358 (or 84354 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 42342214024 its reverse (42041224324), we get a palindrome (84383438348).

The spelling of 42342214024 in words is "forty-two billion, three hundred forty-two million, two hundred fourteen thousand, twenty-four".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 337 374 674 748 1348 1496 2696 3707 5729 7414 11458 14828 22916 29656 45832 63019 83987 126038 167974 252076 335948 504152 671896 923857 1427779 1847714 2855558 3695428 5711116 7390856 11422232 15705569 28303619 31411138 56607238 62822276 113214476 125644552 226428952 311339809 481161523 622679618 962323046 1245359236 1924646092 2490718472 3849292184 5292776753 10585553506 21171107012 42342214024