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42271000017224 = 2311480352272923
BaseRepresentation
bin10011001110001111110111…
…11100001011100101001000
312112200001211200010010101112
421213013323330023211020
521020032002001022344
6225523010200105452
711621656533510416
oct1147077374134510
9175601750103345
1042271000017224
1112518037563940
1248a84a0465288
131a781a480a5c4
14a61cda7b62b6
154d4874465c9e
hex2671fbf0b948

42271000017224 has 16 divisors (see below), whose sum is σ = 86463409126320. Its totient is φ = 19214090916880.

The previous prime is 42271000017203. The next prime is 42271000017269.

42271000017224 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×422710000172243 (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 240176136374 + ... + 240176136549.

It is an arithmetic number, because the mean of its divisors is an integer number (5403963070395).

Almost surely, 242271000017224 is an apocalyptic number.

42271000017224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42271000017224 is an abundant number, since it is smaller than the sum of its proper divisors (44192409109096).

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

42271000017224 is a wasteful number, since it uses less digits than its factorization.

42271000017224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480352272940 (or 480352272936 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 32.

It can be divided in two parts, 422710000 and 17224, that added together give a palindrome (422727224).

The spelling of 42271000017224 in words is "forty-two trillion, two hundred seventy-one billion, seventeen thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 88 480352272923 960704545846 1921409091692 3842818183384 5283875002153 10567750004306 21135500008612 42271000017224