Search a number
-
+
32440041424 = 2474313151419
BaseRepresentation
bin11110001101100100…
…111011111111010000
310002201210122211221201
4132031210323333100
51012414122311144
622522554400544
72225615542150
oct361544737720
9102653584851
1032440041424
111283761529a
126354130154
13309ca603ab
1417da52c760
15c9ce5e1d4
hex78d93bfd0

32440041424 has 80 divisors (see below), whose sum is σ = 74064545280. Its totient is φ = 13475629440.

The previous prime is 32440041407. The next prime is 32440041433. The reversal of 32440041424 is 42414004423.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 32440041392 and 32440041401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 605187 + ... + 656605.

It is an arithmetic number, because the mean of its divisors is an integer number (925806816).

Almost surely, 232440041424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32440041424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37032272640).

32440041424 is an abundant number, since it is smaller than the sum of its proper divisors (41624503856).

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

32440041424 is a wasteful number, since it uses less digits than its factorization.

32440041424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51608 (or 51602 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 32440041424 its reverse (42414004423), we get a palindrome (74854045847).

The spelling of 32440041424 in words is "thirty-two billion, four hundred forty million, forty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 43 56 86 112 131 172 262 301 344 524 602 688 917 1048 1204 1834 2096 2408 3668 4816 5633 7336 11266 14672 22532 39431 45064 51419 78862 90128 102838 157724 205676 315448 359933 411352 630896 719866 822704 1439732 2211017 2879464 4422034 5758928 6735889 8844068 13471778 15477119 17688136 26943556 30954238 35376272 47151223 53887112 61908476 94302446 107774224 123816952 188604892 247633904 289643227 377209784 579286454 754419568 1158572908 2027502589 2317145816 4055005178 4634291632 8110010356 16220020712 32440041424