Search a number
-
+
44409159036 = 223311167223841
BaseRepresentation
bin101001010110111111…
…011111110101111100
311020121221200000122000
4221112333133311330
51211422221042121
632222402222300
73131333423604
oct512677376574
9136557600560
1044409159036
11179198a3530
128734654990
1342596a13c8
142213dcbc04
15124db2e526
hexa56fdfd7c

44409159036 has 96 divisors (see below), whose sum is σ = 126354332160. Its totient is φ = 13376678400.

The previous prime is 44409159013. The next prime is 44409159073. The reversal of 44409159036 is 63095190444.

44409159036 is a `hidden beast` number, since 4 + 440 + 91 + 5 + 90 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 44409158982 and 44409159000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86476 + ... + 310316.

It is an arithmetic number, because the mean of its divisors is an integer number (1316190960).

Almost surely, 244409159036 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 44409159036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63177166080).

44409159036 is an abundant number, since it is smaller than the sum of its proper divisors (81945173124).

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

44409159036 is a wasteful number, since it uses less digits than its factorization.

44409159036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224032 (or 224024 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 44409159036 in words is "forty-four billion, four hundred nine million, one hundred fifty-nine thousand, thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 167 198 297 334 396 501 594 668 1002 1188 1503 1837 2004 3006 3674 4509 5511 6012 7348 9018 11022 16533 18036 22044 33066 49599 66132 99198 198396 223841 447682 671523 895364 1343046 2014569 2462251 2686092 4029138 4924502 6043707 7386753 8058276 9849004 12087414 14773506 22160259 24174828 29547012 37381447 44320518 66480777 74762894 88641036 112144341 132961554 149525788 224288682 265923108 336433023 411195917 448577364 672866046 822391834 1009299069 1233587751 1345732092 1644783668 2018598138 2467175502 3700763253 4037196276 4934351004 7401526506 11102289759 14803053012 22204579518 44409159036