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42444420234 = 23172157115581
BaseRepresentation
bin100111100001111000…
…100111010010001010
311001120000122221200020
4213201320213102022
51143411232421414
631255415121310
73031545422256
oct474170472212
9131500587606
1042444420234
1117000850157
128286673236
134005621978
1420a90b1266
1511863d47a9
hex9e1e2748a

42444420234 has 48 divisors (see below), whose sum is σ = 90239226336. Its totient is φ = 13306566400.

The previous prime is 42444420233. The next prime is 42444420289. The reversal of 42444420234 is 43202444424.

It is a super-2 number, since 2×424444202342 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42444420195 and 42444420204.

It is not an unprimeable number, because it can be changed into a prime (42444420233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2716324 + ... + 2731904.

It is an arithmetic number, because the mean of its divisors is an integer number (1879983882).

Almost surely, 242444420234 is an apocalyptic number.

42444420234 is an abundant number, since it is smaller than the sum of its proper divisors (47794806102).

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

42444420234 is a wasteful number, since it uses less digits than its factorization.

42444420234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17191 (or 17174 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 33.

Adding to 42444420234 its reverse (43202444424), we get a palindrome (85646864658).

The spelling of 42444420234 in words is "forty-two billion, four hundred forty-four million, four hundred twenty thousand, two hundred thirty-four".

Divisors: 1 2 3 6 17 34 51 102 289 578 867 1571 1734 3142 4713 9426 15581 26707 31162 46743 53414 80121 93486 160242 264877 454019 529754 794631 908038 1362057 1589262 2724114 4502909 9005818 13508727 24477751 27017454 48955502 73433253 146866506 416121767 832243534 1248365301 2496730602 7074070039 14148140078 21222210117 42444420234