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1224135342032 = 24175432382847
BaseRepresentation
bin10001110100000100001…
…001101111011111010000
311100000201002121112001012
4101310010021233133100
5130024012121421112
62334205432430052
7154304133503501
oct21640411573720
94300632545035
101224135342032
1143217553a859
121792b4548328
138b587950195
1443369b14ba8
1521c98a13022
hex11d0426f7d0

1224135342032 has 40 divisors (see below), whose sum is σ = 2511354191616. Its totient is φ = 576046132736.

The previous prime is 1224135342011. The next prime is 1224135342037. The reversal of 1224135342032 is 2302435314221.

It is a super-2 number, since 2×12241353420322 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1224135342032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1224135342037) by changing a digit.

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, 14734433 + ... + 14817279.

Almost surely, 21224135342032 is an apocalyptic number.

It is an amenable number.

1224135342032 is an abundant number, since it is smaller than the sum of its proper divisors (1287218849584).

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

1224135342032 is a wasteful number, since it uses less digits than its factorization.

1224135342032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137195 (or 137189 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The spelling of 1224135342032 in words is "one trillion, two hundred twenty-four billion, one hundred thirty-five million, three hundred forty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 17 34 68 136 272 54323 82847 108646 165694 217292 331388 434584 662776 869168 923491 1325552 1408399 1846982 2816798 3693964 5633596 7387928 11267192 14775856 22534384 4500497581 9000995162 18001990324 36003980648 72007961296 76508458877 153016917754 306033835508 612067671016 1224135342032