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42305522550324 = 223112311138682987
BaseRepresentation
bin10011001111010000001011…
…01001001100011000110100
312112210100221121100111212120
421213220011221030120310
521021113202233102244
6225550515545515540
711624321200266105
oct1147500551143064
9175710847314776
1042305522550324
1112530742638a30
1248b3115aa2bb0
131a7b516b38597
14a638537143ac
154d56e512e819
hex267a05a4c634

42305522550324 has 48 divisors (see below), whose sum is σ = 107733382934016. Its totient is φ = 12814307906400.

The previous prime is 42305522550307. The next prime is 42305522550349.

42305522550324 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×423055225503242 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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, 69036442 + ... + 69646545.

It is an arithmetic number, because the mean of its divisors is an integer number (2244445477792).

Almost surely, 242305522550324 is an apocalyptic number.

42305522550324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42305522550324 is an abundant number, since it is smaller than the sum of its proper divisors (65427860383692).

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

42305522550324 is a wasteful number, since it uses less digits than its factorization.

42305522550324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138685316 (or 138685314 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 42.

It can be divided in two parts, 4230552 and 2550324, that added together give a palindrome (6780876).

The spelling of 42305522550324 in words is "forty-two trillion, three hundred five billion, five hundred twenty-two million, five hundred fifty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 2311 4622 6933 9244 13866 25421 27732 50842 76263 101684 152526 305052 138682987 277365974 416048961 554731948 832097922 1525512857 1664195844 3051025714 4576538571 6102051428 9153077142 18306154284 320496382957 640992765914 961489148871 1281985531828 1922978297742 3525460212527 3845956595484 7050920425054 10576380637581 14101840850108 21152761275162 42305522550324