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42332134400 = 210521653599
BaseRepresentation
bin100111011011001100…
…010001110000000000
311001021012101020110122
4213123030101300000
51143144011300100
631240324315412
73026013130313
oct473314216000
9131235336418
1042332134400
1116a53428146
128254b42b68
133cb829904a
14209820297a
15117b604985
hex9db311c00

42332134400 has 66 divisors (see below), whose sum is σ = 104932495200. Its totient is φ = 16932843520.

The previous prime is 42332134381. The next prime is 42332134441. The reversal of 42332134400 is 443123324.

It is a self number, because there is not a number n which added to its sum of digits gives 42332134400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 801200 + ... + 852399.

Almost surely, 242332134400 is an apocalyptic number.

42332134400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42332134400 is an abundant number, since it is smaller than the sum of its proper divisors (62600360800).

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

42332134400 is a wasteful number, since it uses less digits than its factorization.

42332134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1653629 (or 1653606 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 42332134400 its reverse (443123324), we get a palindrome (42775257724).

The spelling of 42332134400 in words is "forty-two billion, three hundred thirty-two million, one hundred thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1024 1280 1600 2560 3200 5120 6400 12800 25600 1653599 3307198 6614396 8267995 13228792 16535990 26457584 33071980 41339975 52915168 66143960 82679950 105830336 132287920 165359900 211660672 264575840 330719800 423321344 529151680 661439600 846642688 1058303360 1322879200 1693285376 2116606720 2645758400 4233213440 5291516800 8466426880 10583033600 21166067200 42332134400