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42302431400 = 23521131871789
BaseRepresentation
bin100111011001011010…
…111110000010101000
311001012010111011121112
4213121122332002220
51143113410301100
631233343525452
73025202506535
oct473132760250
9131163434545
1042302431400
1116a3868a909
128246bb9888
133cb20992c8
1420942add8c
151178bd8b35
hex9d96be0a8

42302431400 has 48 divisors (see below), whose sum is σ = 99223587900. Its totient is φ = 16771220480.

The previous prime is 42302431393. The next prime is 42302431429. The reversal of 42302431400 is 413420324.

42302431400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 376592836 + 41925838564 = 19406^2 + 204758^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 913295 + ... + 958494.

Almost surely, 242302431400 is an apocalyptic number.

42302431400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42302431400 is an abundant number, since it is smaller than the sum of its proper divisors (56921156500).

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

42302431400 is a wasteful number, since it uses less digits than its factorization.

42302431400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1871918 (or 1871909 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 42302431400 its reverse (413420324), we get a palindrome (42715851724).

The spelling of 42302431400 in words is "forty-two billion, three hundred two million, four hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 113 200 226 452 565 904 1130 2260 2825 4520 5650 11300 22600 1871789 3743578 7487156 9358945 14974312 18717890 37435780 46794725 74871560 93589450 187178900 211512157 374357800 423024314 846048628 1057560785 1692097256 2115121570 4230243140 5287803925 8460486280 10575607850 21151215700 42302431400