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42280808480 = 2551371928869
BaseRepresentation
bin100111011000001000…
…011111000000100000
311001010121210121112122
4213120020133000200
51143042341332410
631231252243412
73024520641131
oct473010370040
9131117717478
1042280808480
1116a27461229
12823b910568
133caa768291
142091481c88
151176d66e55
hex9d821f020

42280808480 has 48 divisors (see below), whose sum is σ = 100617574680. Its totient is φ = 16788867072.

The previous prime is 42280808441. The next prime is 42280808489. The reversal of 42280808480 is 8480808224.

It can be written as a sum of positive squares in 4 ways, for example, as 23591731216 + 18689077264 = 153596^2 + 136708^2 .

It is not an unprimeable number, because it can be changed into a prime (42280808489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 942515 + ... + 986354.

Almost surely, 242280808480 is an apocalyptic number.

42280808480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42280808480 is an abundant number, since it is smaller than the sum of its proper divisors (58336766200).

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

42280808480 is a wasteful number, since it uses less digits than its factorization.

42280808480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1929021 (or 1929013 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 44.

The spelling of 42280808480 in words is "forty-two billion, two hundred eighty million, eight hundred eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 137 160 274 548 685 1096 1370 2192 2740 4384 5480 10960 21920 1928869 3857738 7715476 9644345 15430952 19288690 30861904 38577380 61723808 77154760 154309520 264255053 308619040 528510106 1057020212 1321275265 2114040424 2642550530 4228080848 5285101060 8456161696 10570202120 21140404240 42280808480