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42111432024 = 23349113272693
BaseRepresentation
bin100111001110000010…
…010111010101011000
311000200211002101201120
4213032002113111120
51142221011311044
631202402045240
73020363160204
oct471602272530
9130624071646
1042111432024
111694a895192
1281b3049820
133c81643a1c
142076b91b04
15116705b519
hex9ce097558

42111432024 has 64 divisors (see below), whose sum is σ = 105611696640. Its totient is φ = 13992800640.

The previous prime is 42111432019. The next prime is 42111432029. The reversal of 42111432024 is 42023411124.

It is an interprime number because it is at equal distance from previous prime (42111432019) and next prime (42111432029).

It is a super-2 number, since 2×421114320242 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 42111431985 and 42111432003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42111432029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15636022 + ... + 15638714.

It is an arithmetic number, because the mean of its divisors is an integer number (1650182760).

Almost surely, 242111432024 is an apocalyptic number.

It is an amenable number.

42111432024 is an abundant number, since it is smaller than the sum of its proper divisors (63500264616).

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

42111432024 is a wasteful number, since it uses less digits than its factorization.

42111432024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4520 (or 4516 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 42111432024 its reverse (42023411124), we get a palindrome (84134843148).

The spelling of 42111432024 in words is "forty-two billion, one hundred eleven million, four hundred thirty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 491 982 1327 1473 1964 2654 2693 2946 3928 3981 5308 5386 5892 7962 8079 10616 10772 11784 15924 16158 21544 31848 32316 64632 651557 1303114 1322263 1954671 2606228 2644526 3573611 3909342 3966789 5212456 5289052 7147222 7818684 7933578 10578104 10720833 14294444 15637368 15867156 21441666 28588888 31734312 42883332 85766664 1754643001 3509286002 5263929003 7018572004 10527858006 14037144008 21055716012 42111432024