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442350053244 = 2232112101549599
BaseRepresentation
bin1100110111111100001…
…11100010011101111100
31120021210010122222111100
412123332013202131330
524221413103200434
6535113544453100
743646563262001
oct6337607423574
91507703588440
10442350053244
11160666089200
127189217a190
133293753c448
14175a490b8a8
15b78e88c699
hex66fe1e277c

442350053244 has 54 divisors (see below), whose sum is σ = 1229054808800. Its totient is φ = 134045469360.

The previous prime is 442350053227. The next prime is 442350053287.

442350053244 is a `hidden beast` number, since 44 + 23 + 500 + 53 + 2 + 44 = 666.

442350053244 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 442350053199 and 442350053208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 50770444 + ... + 50779155.

Almost surely, 2442350053244 is an apocalyptic number.

442350053244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442350053244 is an abundant number, since it is smaller than the sum of its proper divisors (786704755556).

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

442350053244 is a wasteful number, since it uses less digits than its factorization.

442350053244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101549631 (or 101549615 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

It can be divided in two parts, 4423500 and 53244, that added together give a palindrome (4476744).

The spelling of 442350053244 in words is "four hundred forty-two billion, three hundred fifty million, fifty-three thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 101549599 203099198 304648797 406198396 609297594 913946391 1117045589 1218595188 1827892782 2234091178 3351136767 3655785564 4468182356 6702273534 10053410301 12287501479 13404547068 20106820602 24575002958 36862504437 40213641204 49150005916 73725008874 110587513311 147450017748 221175026622 442350053244