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2440432340442 = 232135579574469
BaseRepresentation
bin100011100000110101000…
…110100100110111011010
322122022011220222221001100
4203200311012210313122
5304441001134343232
65105041422332230
7341213121425445
oct43406506446732
98568156887040
102440432340442
11860a88485a78
12334b7ba2a076
131491936aa8c5
148619080265c
154373430dc7c
hex238351a4dda

2440432340442 has 12 divisors (see below), whose sum is σ = 5287603404330. Its totient is φ = 813477446808.

The previous prime is 2440432340399. The next prime is 2440432340491.

2440432340442 is a `hidden beast` number, since 244 + 0 + 4 + 3 + 2 + 3 + 404 + 4 + 2 = 666.

2440432340442 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 1289448820521 + 1150983519921 = 1135539^2 + 1072839^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2440432340397 and 2440432340406.

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, 67789787217 + ... + 67789787252.

Almost surely, 22440432340442 is an apocalyptic number.

2440432340442 is an abundant number, since it is smaller than the sum of its proper divisors (2847171063888).

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

2440432340442 is a wasteful number, since it uses less digits than its factorization.

2440432340442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135579574477 (or 135579574474 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

The spelling of 2440432340442 in words is "two trillion, four hundred forty billion, four hundred thirty-two million, three hundred forty thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 135579574469 271159148938 406738723407 813477446814 1220216170221 2440432340442