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42423440000 = 2754530293
BaseRepresentation
bin100111100000101000…
…100101001010000000
311001111120012001012112
4213200220211022000
51143340400040000
631253345314452
73031202201354
oct474050451200
9131446161175
1042423440000
1116a9aa20417
12827b635a28
134001187326
1420a63ad464
15118463d235
hex9e0a25280

42423440000 has 80 divisors (see below), whose sum is σ = 105610701570. Its totient is φ = 16969344000.

The previous prime is 42423439997. The next prime is 42423440071. The reversal of 42423440000 is 4432424.

It can be written as a sum of positive squares in 5 ways, for example, as 7824463936 + 34598976064 = 88456^2 + 186008^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×424234400002 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 185147 + ... + 345146.

Almost surely, 242423440000 is an apocalyptic number.

42423440000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42423440000 is an abundant number, since it is smaller than the sum of its proper divisors (63187261570).

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

42423440000 is an frugal number, since it uses more digits than its factorization.

42423440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530327 (or 530300 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

Adding to 42423440000 its reverse (4432424), we get a palindrome (42427872424).

The spelling of 42423440000 in words is "forty-two billion, four hundred twenty-three million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3200 4000 5000 8000 10000 16000 20000 40000 80000 530293 1060586 2121172 2651465 4242344 5302930 8484688 10605860 13257325 16969376 21211720 26514650 33938752 42423440 53029300 66286625 67877504 84846880 106058600 132573250 169693760 212117200 265146500 331433125 339387520 424234400 530293000 662866250 848468800 1060586000 1325732500 1696937600 2121172000 2651465000 4242344000 5302930000 8484688000 10605860000 21211720000 42423440000