Search a number
-
+
44709102144 = 263472376771
BaseRepresentation
bin101001101000110111…
…101100001001000000
311021101212001201020000
4221220313230021000
51213031012232034
632312235120000
73141635045400
oct515067541100
9137355051200
1044709102144
1117a631391a3
1287b8ba3000
1342a687c335
142241b88800
15126a12b599
hexa68dec240

44709102144 has 840 divisors, whose sum is σ = 162962978112. Its totient is φ = 12070840320.

The previous prime is 44709102091. The next prime is 44709102157. The reversal of 44709102144 is 44120190744.

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

It is a junction number, because it is equal to n+sod(n) for n = 44709102099 and 44709102108.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 629705629 + ... + 629705699.

Almost surely, 244709102144 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 44709102144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81481489056).

44709102144 is an abundant number, since it is smaller than the sum of its proper divisors (118253875968).

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

44709102144 is a wasteful number, since it uses less digits than its factorization.

44709102144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 44709102144 its reverse (44120190744), we get a palindrome (88829292888).

The spelling of 44709102144 in words is "forty-four billion, seven hundred nine million, one hundred two thousand, one hundred forty-four".