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42241555514224 = 24111028923326741
BaseRepresentation
bin10011001101011001000001…
…11010010100001101110000
312112120020211122002101122101
421212230200322110031300
521014041201202423344
6225501300330150144
711616565060406353
oct1146544072241560
9175506748071571
1042241555514224
11125065a7941a40
1248a2843582354
131a7549155ba71
14a6070604c29a
154d3bee4b89d4
hex266b20e94370

42241555514224 has 40 divisors (see below), whose sum is σ = 89291969166960. Its totient is φ = 19198840089600.

The previous prime is 42241555514177. The next prime is 42241555514261.

42241555514224 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×422415555142242 (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 7 ways as a sum of consecutive naturals, for example, 9852507 + ... + 13474234.

It is an arithmetic number, because the mean of its divisors is an integer number (2232299229174).

Almost surely, 242241555514224 is an apocalyptic number.

42241555514224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42241555514224 is an abundant number, since it is smaller than the sum of its proper divisors (47050413652736).

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

42241555514224 is a wasteful number, since it uses less digits than its factorization.

42241555514224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23337049 (or 23337043 counting only the distinct ones).

The product of its digits is 2560000, while the sum is 46.

It can be divided in two parts, 4224155 and 5514224, that added together give a palindrome (9738379).

The spelling of 42241555514224 in words is "forty-two trillion, two hundred forty-one billion, five hundred fifty-five million, five hundred fourteen thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 10289 20578 41156 82312 113179 164624 226358 452716 905432 1810864 23326741 46653482 93306964 186613928 256594151 373227856 513188302 1026376604 2052753208 4105506416 240008838149 480017676298 960035352596 1920070705192 2640097219639 3840141410384 5280194439278 10560388878556 21120777757112 42241555514224