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42442301616256 = 271973092387687
BaseRepresentation
bin10011010011001110111100…
…10011111011000010000000
312120021102222222021222201101
421221213132103323002000
521030333313203210011
6230133420231544144
711640232541206063
oct1151473623730200
9176242888258641
1042442301616256
1112583751880693
124915728b2b054
131a8b3a430c419
14a6a30b2688da
154d904d1ba2c1
hex2699de4fb080

42442301616256 has 64 divisors (see below), whose sum is σ = 89015396328000. Its totient is φ = 20101489099776.

The previous prime is 42442301616251. The next prime is 42442301616277. The reversal of 42442301616256 is 65261610324424.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (42442301616251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16581645 + ... + 18969331.

It is an arithmetic number, because the mean of its divisors is an integer number (1390865567625).

Almost surely, 242442301616256 is an apocalyptic number.

It is an amenable number.

42442301616256 is an abundant number, since it is smaller than the sum of its proper divisors (46573094711744).

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

42442301616256 is a wasteful number, since it uses less digits than its factorization.

42442301616256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2395029 (or 2395017 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 46.

The spelling of 42442301616256 in words is "forty-two trillion, four hundred forty-two billion, three hundred one million, six hundred sixteen thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 608 1216 2432 7309 14618 29236 58472 116944 138871 233888 277742 467776 555484 935552 1110968 2221936 2387687 4443872 4775374 8887744 9550748 17775488 19101496 38202992 45366053 76405984 90732106 152811968 181464212 305623936 362928424 725856848 1451713696 2903427392 5806854784 17451604283 34903208566 69806417132 139612834264 279225668528 331580481377 558451337056 663160962754 1116902674112 1326321925508 2233805348224 2652643851016 5305287702032 10610575404064 21221150808128 42442301616256