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42743914048 = 261125519617
BaseRepresentation
bin100111110011101111…
…000101111001000000
311002022220012210221201
4213303233011321000
51200014420222143
631345234230544
73042143163133
oct476357057100
9132286183851
1042743914048
1117144909300
12834aa25454
1340526a3244
1420d6b9221a
1511a284364d
hex9f3bc5e40

42743914048 has 42 divisors (see below), whose sum is σ = 93231867638. Its totient is φ = 19429048320.

The previous prime is 42743914019. The next prime is 42743914063. The reversal of 42743914048 is 84041934724.

It can be written as a sum of positive squares in only one way, i.e., 42548137984 + 195776064 = 206272^2 + 13992^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42743913989 and 42743914007.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 2752065 + ... + 2767552.

Almost surely, 242743914048 is an apocalyptic number.

It is an amenable number.

42743914048 is an abundant number, since it is smaller than the sum of its proper divisors (50487953590).

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

42743914048 is a wasteful number, since it uses less digits than its factorization.

42743914048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5519651 (or 5519630 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 46.

The spelling of 42743914048 in words is "forty-two billion, seven hundred forty-three million, nine hundred fourteen thousand, forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1936 3872 7744 5519617 11039234 22078468 44156936 60715787 88313872 121431574 176627744 242863148 353255488 485726296 667873657 971452592 1335747314 1942905184 2671494628 3885810368 5342989256 10685978512 21371957024 42743914048