Search a number
-
+
43242444144 = 24321072806493
BaseRepresentation
bin101000010001011100…
…110101010101110000
311010121122021202200100
4220101130311111300
51202030031203034
631510523352400
73060405465504
oct502134652560
9133548252610
1043242444144
1117380261349
128469982700
134101a62273
142143084304
1511d14bb099
hexa11735570

43242444144 has 60 divisors (see below), whose sum is σ = 122149844856. Its totient is φ = 14279431296.

The previous prime is 43242444103. The next prime is 43242444173. The reversal of 43242444144 is 44144424234.

It is a happy number.

43242444144 is a `hidden beast` number, since 4 + 32 + 42 + 444 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 43242444099 and 43242444108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1387839 + ... + 1418654.

Almost surely, 243242444144 is an apocalyptic number.

It is an amenable number.

43242444144 is an abundant number, since it is smaller than the sum of its proper divisors (78907400712).

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

43242444144 is a wasteful number, since it uses less digits than its factorization.

43242444144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2806614 (or 2806605 counting only the distinct ones).

The product of its digits is 196608, while the sum is 36.

Adding to 43242444144 its reverse (44144424234), we get a palindrome (87386868378).

The spelling of 43242444144 in words is "forty-three billion, two hundred forty-two million, four hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 107 144 214 321 428 642 856 963 1284 1712 1926 2568 3852 5136 7704 15408 2806493 5612986 8419479 11225972 16838958 22451944 25258437 33677916 44903888 50516874 67355832 101033748 134711664 202067496 300294751 404134992 600589502 900884253 1201179004 1801768506 2402358008 2702652759 3603537012 4804716016 5405305518 7207074024 10810611036 14414148048 21621222072 43242444144