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42280480746 = 2327247937053
BaseRepresentation
bin100111011000000111…
…001110111111101010
311001010121011221222100
4213120013032333222
51143042300340441
631231241234230
73024515104500
oct473007167752
9131117157870
1042280480746
1116a27257a79
12823b792976
133caa68205a
1420913d8670
151176ceecb6
hex9d81cefea

42280480746 has 36 divisors (see below), whose sum is σ = 106564071042. Its totient is φ = 12080137104.

The previous prime is 42280480667. The next prime is 42280480763. The reversal of 42280480746 is 64708408224.

42280480746 is a `hidden beast` number, since 4 + 22 + 80 + 480 + 74 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 34220930121 + 8059550625 = 184989^2 + 89775^2 .

It is a super-2 number, since 2×422804807462 (a number of 22 digits) contains 22 as substring.

It is a Curzon 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, 23967645 + ... + 23969408.

Almost surely, 242280480746 is an apocalyptic number.

42280480746 is an abundant number, since it is smaller than the sum of its proper divisors (64283590296).

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

42280480746 is a wasteful number, since it uses less digits than its factorization.

42280480746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47937075 (or 47937065 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 42280480746 in words is "forty-two billion, two hundred eighty million, four hundred eighty thousand, seven hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 47937053 95874106 143811159 287622318 335559371 431433477 671118742 862866954 1006678113 2013356226 2348915597 3020034339 4697831194 6040068678 7046746791 14093493582 21140240373 42280480746