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42144432426 = 2324159967903
BaseRepresentation
bin100111010000000000…
…010000000100101010
311000210010011222202200
4213100000100010222
51142302433314201
631205541241030
73021243523245
oct472000200452
9130703158680
1042144432426
1116967484948
128202103176
133c884295a5
14207b30225c
151169dc9386
hex9d001012a

42144432426 has 48 divisors (see below), whose sum is σ = 95125605120. Its totient is φ = 13473195840.

The previous prime is 42144432371. The next prime is 42144432469. The reversal of 42144432426 is 62423444124.

42144432426 is a `hidden beast` number, since 4 + 214 + 4 + 432 + 4 + 2 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 440410 + ... + 527493.

It is an arithmetic number, because the mean of its divisors is an integer number (1981783440).

Almost surely, 242144432426 is an apocalyptic number.

42144432426 is an abundant number, since it is smaller than the sum of its proper divisors (52981172694).

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

42144432426 is a wasteful number, since it uses less digits than its factorization.

42144432426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968011 (or 968008 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

The spelling of 42144432426 in words is "forty-two billion, one hundred forty-four million, four hundred thirty-two thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 18 41 59 82 118 123 177 246 354 369 531 738 1062 2419 4838 7257 14514 21771 43542 967903 1935806 2903709 5807418 8711127 17422254 39684023 57106277 79368046 114212554 119052069 171318831 238104138 342637662 357156207 513956493 714312414 1027912986 2341357357 4682714714 7024072071 14048144142 21072216213 42144432426