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2442242000440 = 235115550550001
BaseRepresentation
bin100011100010100000111…
…101111000011000111000
322122110212001012011212201
4203202200331320120320
5310003202423003230
65105541145515544
7341306014325224
oct43424075703070
98573761164781
102442242000440
11861826a38350
123353a5aa2bb4
131493c15a0838
14862c2cb1784
15437dd1245ca
hex238a0f78638

2442242000440 has 32 divisors (see below), whose sum is σ = 5994594002160. Its totient is φ = 888088000000.

The previous prime is 2442242000399. The next prime is 2442242000479. The reversal of 2442242000440 is 440002422442.

It is a junction number, because it is equal to n+sod(n) for n = 2442242000399 and 2442242000408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2775274561 + ... + 2775275440.

Almost surely, 22442242000440 is an apocalyptic number.

2442242000440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2442242000440 is an abundant number, since it is smaller than the sum of its proper divisors (3552352001720).

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

2442242000440 is a wasteful number, since it uses less digits than its factorization.

2442242000440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5550550023 (or 5550550019 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 2442242000440 its reverse (440002422442), we get a palindrome (2882244422882).

The spelling of 2442242000440 in words is "two trillion, four hundred forty-two billion, two hundred forty-two million, four hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 5550550001 11101100002 22202200004 27752750005 44404400008 55505500010 61056050011 111011000020 122112100022 222022000040 244224200044 305280250055 488448400088 610560500110 1221121000220 2442242000440