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42778438344 = 2332312618257
BaseRepresentation
bin100111110101110010…
…110010101011001000
311002102022011211101100
4213311302302223020
51200102240011334
631352510221400
73043042504065
oct476562625310
9132368154340
1042778438344
1117162349984
12835a4b4860
1340598a0615
1420db5bbc6c
1511a58b2c99
hex9f5cb2ac8

42778438344 has 72 divisors (see below), whose sum is σ = 119716387830. Its totient is φ = 13799473920.

The previous prime is 42778438273. The next prime is 42778438349. The reversal of 42778438344 is 44383487724.

It can be written as a sum of positive squares in only one way, i.e., 30115437444 + 12663000900 = 173538^2 + 112530^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (42778438349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 239937 + ... + 378320.

Almost surely, 242778438344 is an apocalyptic number.

It is an amenable number.

42778438344 is an abundant number, since it is smaller than the sum of its proper divisors (76937949486).

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

42778438344 is a wasteful number, since it uses less digits than its factorization.

42778438344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618331 (or 618293 counting only the distinct ones).

The product of its digits is 14450688, while the sum is 54.

The spelling of 42778438344 in words is "forty-two billion, seven hundred seventy-eight million, four hundred thirty-eight thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 961 1116 1922 2232 2883 3844 5766 7688 8649 11532 17298 23064 34596 69192 618257 1236514 1854771 2473028 3709542 4946056 5564313 7419084 11128626 14838168 19165967 22257252 38331934 44514504 57497901 76663868 114995802 153327736 172493703 229991604 344987406 459983208 594144977 689974812 1188289954 1379949624 1782434931 2376579908 3564869862 4753159816 5347304793 7129739724 10694609586 14259479448 21389219172 42778438344