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44804316240 = 2433546744417
BaseRepresentation
bin101001101110100010…
…111001110001010000
311021122111020002102000
4221232202321301100
51213224401104430
632325515554000
73144202255455
oct515642716120
9137574202360
1044804316240
1118001960a32
128824a5b900
1342c0508638
14225069182c
151273687e60
hexa6e8b9c50

44804316240 has 160 divisors (see below), whose sum is σ = 154659922560. Its totient is φ = 11921965056.

The previous prime is 44804316239. The next prime is 44804316247. The reversal of 44804316240 is 4261340844.

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 = 44804316195 and 44804316204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44804316247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 986512 + ... + 1030928.

It is an arithmetic number, because the mean of its divisors is an integer number (966624516).

Almost surely, 244804316240 is an apocalyptic number.

44804316240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44804316240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77329961280).

44804316240 is an abundant number, since it is smaller than the sum of its proper divisors (109855606320).

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

44804316240 is a wasteful number, since it uses less digits than its factorization.

44804316240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44906 (or 44894 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 44804316240 in words is "forty-four billion, eight hundred four million, three hundred sixteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 467 540 720 934 1080 1401 1868 2160 2335 2802 3736 4203 4670 5604 7005 7472 8406 9340 11208 12609 14010 16812 18680 21015 22416 25218 28020 33624 37360 42030 44417 50436 56040 63045 67248 84060 88834 100872 112080 126090 133251 168120 177668 201744 222085 252180 266502 336240 355336 399753 444170 504360 533004 666255 710672 799506 888340 1008720 1066008 1199259 1332510 1599012 1776680 1998765 2132016 2398518 2665020 3198024 3553360 3997530 4797036 5330040 5996295 6396048 7995060 9594072 10660080 11992590 15990120 19188144 20742739 23985180 31980240 41485478 47970360 62228217 82970956 95940720 103713695 124456434 165941912 186684651 207427390 248912868 311141085 331883824 373369302 414854780 497825736 560053953 622282170 746738604 829709560 933423255 995651472 1120107906 1244564340 1493477208 1659419120 1866846510 2240215812 2489128680 2800269765 2986954416 3733693020 4480431624 4978257360 5600539530 7467386040 8960863248 11201079060 14934772080 22402158120 44804316240