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42132200424 = 2331755508351
BaseRepresentation
bin100111001111010001…
…100101101111101000
311000202021011112121120
4213033101211233220
51142241320403144
631204423135240
73021034536366
oct471721455750
9130667145546
1042132200424
111696058a856
1281b9ba4520
133c85a35b12
14207983a636
151168caee19
hex9cf465be8

42132200424 has 16 divisors (see below), whose sum is σ = 105330501120. Its totient is φ = 14044066800.

The previous prime is 42132200417. The next prime is 42132200437. The reversal of 42132200424 is 42400223124.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 1755508351 = 42132200424 / (4 + 2 + 1 + 3 + 2 + 2 + 0 + 0 + 4 + 2 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 42132200394 and 42132200403.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 877754152 + ... + 877754199.

It is an arithmetic number, because the mean of its divisors is an integer number (6583156320).

Almost surely, 242132200424 is an apocalyptic number.

It is an amenable number.

42132200424 is an abundant number, since it is smaller than the sum of its proper divisors (63198300696).

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

42132200424 is a wasteful number, since it uses less digits than its factorization.

42132200424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1755508360 (or 1755508356 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 42132200424 its reverse (42400223124), we get a palindrome (84532423548).

It can be divided in two parts, 42132 and 200424, that added together give a triangular number (242556 = T696).

The spelling of 42132200424 in words is "forty-two billion, one hundred thirty-two million, two hundred thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 1755508351 3511016702 5266525053 7022033404 10533050106 14044066808 21066100212 42132200424