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42131255000 = 235414895659
BaseRepresentation
bin100111001111001101…
…111110111011011000
311000202012101111201212
4213033031332323120
51142241100130000
631204351002252
73021023521142
oct471715767330
9130665344655
1042131255000
111695aaa450a
1281b9809388
133c857946b3
142079671c92
151168b74c35
hex9cf37eed8

42131255000 has 80 divisors (see below), whose sum is σ = 98797281000. Its totient is φ = 16838208000.

The previous prime is 42131254981. The next prime is 42131255003. The reversal of 42131255000 is 55213124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42131255003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7442171 + ... + 7447829.

Almost surely, 242131255000 is an apocalyptic number.

42131255000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42131255000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49398640500).

42131255000 is an abundant number, since it is smaller than the sum of its proper divisors (56666026000).

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

42131255000 is a wasteful number, since it uses less digits than its factorization.

42131255000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7174 (or 7155 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

Adding to 42131255000 its reverse (55213124), we get a palindrome (42186468124).

The spelling of 42131255000 in words is "forty-two billion, one hundred thirty-one million, two hundred fifty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 1489 2500 2978 5000 5659 5956 7445 11318 11912 14890 22636 28295 29780 37225 45272 56590 59560 74450 113180 141475 148900 186125 226360 282950 297800 372250 565900 707375 744500 930625 1131800 1414750 1489000 1861250 2829500 3536875 3722500 5659000 7073750 7445000 8426251 14147500 16852502 28295000 33705004 42131255 67410008 84262510 168525020 210656275 337050040 421312550 842625100 1053281375 1685250200 2106562750 4213125500 5266406875 8426251000 10532813750 21065627500 42131255000