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42430435040 = 255737884317
BaseRepresentation
bin100111100001000011…
…010000111011100000
311001112001100102121002
4213201003100323200
51143344142410130
631254155251132
73031315514150
oct474103207340
9131461312532
1042430435040
1116aa3968944
128281a49aa8
1340027661c6
1420a72b0760
151185070b45
hex9e10d0ee0

42430435040 has 48 divisors (see below), whose sum is σ = 114562177632. Its totient is φ = 14547577344.

The previous prime is 42430435027. The next prime is 42430435049. The reversal of 42430435040 is 4053403424.

It is a junction number, because it is equal to n+sod(n) for n = 42430434994 and 42430435012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42430435049) 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, 18941039 + ... + 18943278.

It is an arithmetic number, because the mean of its divisors is an integer number (2386712034).

Almost surely, 242430435040 is an apocalyptic number.

42430435040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42430435040 is an abundant number, since it is smaller than the sum of its proper divisors (72131742592).

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

42430435040 is a wasteful number, since it uses less digits than its factorization.

42430435040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37884339 (or 37884331 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 29.

Adding to 42430435040 its reverse (4053403424), we get a palindrome (46483838464).

The spelling of 42430435040 in words is "forty-two billion, four hundred thirty million, four hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 37884317 75768634 151537268 189421585 265190219 303074536 378843170 530380438 606149072 757686340 1060760876 1212298144 1325951095 1515372680 2121521752 2651902190 3030745360 4243043504 5303804380 6061490720 8486087008 10607608760 21215217520 42430435040