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42224240024240 = 245527803000303
BaseRepresentation
bin10011001100111000110001…
…10100111101101010110000
312112111121010212221100211112
421212130120310331222300
521013300220421233430
6225445314215132452
711615413013232311
oct1146343064755260
9175447125840745
1042224240024240
11124aa22178a03a
12489b410674128
131a739620a61c1
14a5d9424c6608
154d3539273195
hex266718d3dab0

42224240024240 has 20 divisors (see below), whose sum is σ = 98171358056544. Its totient is φ = 16889696009664.

The previous prime is 42224240024237. The next prime is 42224240024261. The reversal of 42224240024240 is 4242004242224.

42224240024240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 42224240024197 and 42224240024206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 263901500072 + ... + 263901500231.

Almost surely, 242224240024240 is an apocalyptic number.

42224240024240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42224240024240 is an abundant number, since it is smaller than the sum of its proper divisors (55947118032304).

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

42224240024240 is a wasteful number, since it uses less digits than its factorization.

42224240024240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527803000316 (or 527803000310 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 42224240024240 its reverse (4242004242224), we get a palindrome (46466244266464).

The spelling of 42224240024240 in words is "forty-two trillion, two hundred twenty-four billion, two hundred forty million, twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 527803000303 1055606000606 2111212001212 2639015001515 4222424002424 5278030003030 8444848004848 10556060006060 21112120012120 42224240024240