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42144462450 = 23252773121157
BaseRepresentation
bin100111010000000000…
…010111011001110010
311000210010020111221200
4213100000113121302
51142302440244300
631205542032030
73021244006626
oct472000273162
9130703214850
1042144462450
11169674a5462
128202118616
133c8843a15c
14207b30d186
151169dd3200
hex9d0017672

42144462450 has 72 divisors (see below), whose sum is σ = 113375537028. Its totient is φ = 11223891840.

The previous prime is 42144462433. The next prime is 42144462469. The reversal of 42144462450 is 5426444124.

42144462450 is a `hidden beast` number, since 4 + 2 + 144 + 4 + 62 + 450 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1348138089 + 40796324361 = 36717^2 + 201981^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 287272 + ... + 408428.

Almost surely, 242144462450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42144462450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56687768514).

42144462450 is an abundant number, since it is smaller than the sum of its proper divisors (71231074578).

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

42144462450 is a wasteful number, since it uses less digits than its factorization.

42144462450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121948 (or 121940 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The spelling of 42144462450 in words is "forty-two billion, one hundred forty-four million, four hundred sixty-two thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 773 1546 2319 3865 4638 6957 7730 11595 13914 19325 23190 34785 38650 57975 69570 115950 121157 173925 242314 347850 363471 605785 726942 1090413 1211570 1817355 2180826 3028925 3634710 5452065 6057850 9086775 10904130 18173550 27260325 54520650 93654361 187308722 280963083 468271805 561926166 842889249 936543610 1404815415 1685778498 2341359025 2809630830 4214446245 4682718050 7024077075 8428892490 14048154150 21072231225 42144462450