Search a number
-
+
44161812432 = 24325313144171
BaseRepresentation
bin101001001000001111…
…111100011111010000
311012222201020111212200
4221020033330133100
51210420410444212
632142044523200
73122241132513
oct511017743720
9135881214780
1044161812432
1117802212351
128685850500
13421a37a67a
1421cd202d7a
1512370716dc
hexa483fc7d0

44161812432 has 120 divisors (see below), whose sum is σ = 126887780448. Its totient is φ = 14332281600.

The previous prime is 44161812427. The next prime is 44161812439. The reversal of 44161812432 is 23421816144.

44161812432 is a `hidden beast` number, since 4 + 4 + 1 + 618 + 1 + 2 + 4 + 32 = 666.

44161812432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (44161812439) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 977707 + ... + 1021877.

Almost surely, 244161812432 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 44161812432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63443890224).

44161812432 is an abundant number, since it is smaller than the sum of its proper divisors (82725968016).

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

44161812432 is a wasteful number, since it uses less digits than its factorization.

44161812432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44369 (or 44360 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The spelling of 44161812432 in words is "forty-four billion, one hundred sixty-one million, eight hundred twelve thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 131 144 159 212 262 318 393 424 477 524 636 786 848 954 1048 1179 1272 1572 1908 2096 2358 2544 3144 3816 4716 6288 6943 7632 9432 13886 18864 20829 27772 41658 44171 55544 62487 83316 88342 111088 124974 132513 166632 176684 249948 265026 333264 353368 397539 499896 530052 706736 795078 999792 1060104 1590156 2120208 2341063 3180312 4682126 5786401 6360624 7023189 9364252 11572802 14046378 17359203 18728504 21069567 23145604 28092756 34718406 37457008 42139134 46291208 52077609 56185512 69436812 84278268 92582416 104155218 112371024 138873624 168556536 208310436 277747248 306679253 337113072 416620872 613358506 833241744 920037759 1226717012 1840075518 2453434024 2760113277 3680151036 4906868048 5520226554 7360302072 11040453108 14720604144 22080906216 44161812432