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42255255224 = 2371324464841
BaseRepresentation
bin100111010110100111…
…000000011010111000
311001001211201101001202
4213112213000122320
51143014321131344
631224540433332
73024060512630
oct472647003270
9131054641052
1042255255224
1116a13a98736
128233248848
133ca538c300
14208bd0d6c0
1511749ba94e
hex9d69c06b8

42255255224 has 48 divisors (see below), whose sum is σ = 98047930320. Its totient is φ = 16716360960.

The previous prime is 42255255223. The next prime is 42255255227.

42255255224 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42255255223) 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 11 ways as a sum of consecutive naturals, for example, 2222957 + ... + 2241884.

It is an arithmetic number, because the mean of its divisors is an integer number (2042665215).

Almost surely, 242255255224 is an apocalyptic number.

It is an amenable number.

42255255224 is an abundant number, since it is smaller than the sum of its proper divisors (55792675096).

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

42255255224 is a wasteful number, since it uses less digits than its factorization.

42255255224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4464880 (or 4464863 counting only the distinct ones).

The product of its digits is 320000, while the sum is 38.

The spelling of 42255255224 in words is "forty-two billion, two hundred fifty-five million, two hundred fifty-five thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 169 182 338 364 676 728 1183 1352 2366 4732 9464 4464841 8929682 17859364 31253887 35718728 58042933 62507774 116085866 125015548 232171732 250031096 406300531 464343464 754558129 812601062 1509116258 1625202124 3018232516 3250404248 5281906903 6036465032 10563813806 21127627612 42255255224