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42230423000 = 23531013171319
BaseRepresentation
bin100111010101001000…
…010001110111011000
311001000002222202122202
4213111020101313120
51142441442014000
631222252305332
73023336446523
oct472510216730
9131002882582
1042230423000
1116a00a77937
128226a72248
133ca01a659c
1420888c7bba
151172712dd5
hex9d5211dd8

42230423000 has 128 divisors (see below), whose sum is σ = 100188316800. Its totient is φ = 16659520000.

The previous prime is 42230422987. The next prime is 42230423003. The reversal of 42230423000 is 32403224.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42230423003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32016341 + ... + 32017659.

It is an arithmetic number, because the mean of its divisors is an integer number (782721225).

Almost surely, 242230423000 is an apocalyptic number.

42230423000 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 42230423000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50094158400).

42230423000 is an abundant number, since it is smaller than the sum of its proper divisors (57957893800).

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

42230423000 is a wasteful number, since it uses less digits than its factorization.

42230423000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1758 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 42230423000 its reverse (32403224), we get a palindrome (42262826224).

The spelling of 42230423000 in words is "forty-two billion, two hundred thirty million, four hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 125 200 202 250 317 404 500 505 634 808 1000 1010 1268 1319 1585 2020 2525 2536 2638 3170 4040 5050 5276 6340 6595 7925 10100 10552 12625 12680 13190 15850 20200 25250 26380 31700 32017 32975 39625 50500 52760 63400 64034 65950 79250 101000 128068 131900 133219 158500 160085 164875 256136 263800 266438 317000 320170 329750 418123 532876 640340 659500 666095 800425 836246 1065752 1280680 1319000 1332190 1600850 1672492 2090615 2664380 3201700 3330475 3344984 4002125 4181230 5328760 6403400 6660950 8004250 8362460 10453075 13321900 16008500 16652375 16724920 20906150 26643800 32017000 33304750 41812300 42230423 52265375 66609500 83624600 84460846 104530750 133219000 168921692 209061500 211152115 337843384 418123000 422304230 844608460 1055760575 1689216920 2111521150 4223042300 5278802875 8446084600 10557605750 21115211500 42230423000