Search a number
-
+
42432121400 = 2352297315883
BaseRepresentation
bin100111100001001001…
…101100101000111000
311001112011112002211212
4213201021230220320
51143400110341100
631254255342252
73031336036514
oct474111545070
9131464462755
1042432121400
1116aa490a929
128282521988
134002c06956
1420a75cd144
1511852a5635
hex9e126ca38

42432121400 has 48 divisors (see below), whose sum is σ = 102056581800. Its totient is φ = 16387575680.

The previous prime is 42432121357. The next prime is 42432121409. The reversal of 42432121400 is 412123424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42432121409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3652142 + ... + 3663741.

Almost surely, 242432121400 is an apocalyptic number.

42432121400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42432121400 is an abundant number, since it is smaller than the sum of its proper divisors (59624460400).

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

42432121400 is a wasteful number, since it uses less digits than its factorization.

42432121400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7315928 (or 7315919 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 42432121400 its reverse (412123424), we get a palindrome (42844244824).

The spelling of 42432121400 in words is "forty-two billion, four hundred thirty-two million, one hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 1160 1450 2900 5800 7315883 14631766 29263532 36579415 58527064 73158830 146317660 182897075 212160607 292635320 365794150 424321214 731588300 848642428 1060803035 1463176600 1697284856 2121606070 4243212140 5304015175 8486424280 10608030350 21216060700 42432121400