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44464157200 = 24521929201743
BaseRepresentation
bin101001011010010001…
…010011001000010000
311020202210011012221001
4221122101103020100
51212030311012300
632232045111344
73132602046241
oct513221231020
9136683135831
1044464157200
1117947948461
12874ab58554
134267bb97b8
14221b426cc8
15125389516a
hexa5a453210

44464157200 has 120 divisors (see below), whose sum is σ = 116325590400. Its totient is φ = 16268474880.

The previous prime is 44464157189. The next prime is 44464157201. The reversal of 44464157200 is 275146444.

It is a super-2 number, since 2×444641572002 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 44464157200.

It is not an unprimeable number, because it can be changed into a prime (44464157201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119529 + ... + 321271.

It is an arithmetic number, because the mean of its divisors is an integer number (969379920).

Almost surely, 244464157200 is an apocalyptic number.

44464157200 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 44464157200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58162795200).

44464157200 is an abundant number, since it is smaller than the sum of its proper divisors (71861433200).

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

44464157200 is a wasteful number, since it uses less digits than its factorization.

44464157200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201809 (or 201798 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 37.

The spelling of 44464157200 in words is "forty-four billion, four hundred sixty-four million, one hundred fifty-seven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 29 38 40 50 58 76 80 95 100 116 145 152 190 200 232 290 304 380 400 464 475 551 580 725 760 950 1102 1160 1450 1520 1900 2204 2320 2755 2900 3800 4408 5510 5800 7600 8816 11020 11600 13775 22040 27550 44080 55100 110200 201743 220400 403486 806972 1008715 1613944 2017430 3227888 3833117 4034860 5043575 5850547 7666234 8069720 10087150 11701094 15332468 16139440 19165585 20174300 23402188 29252735 30664936 38331170 40348600 46804376 58505470 61329872 76662340 80697200 93608752 95827925 111160393 117010940 146263675 153324680 191655850 222320786 234021880 292527350 306649360 383311700 444641572 468043760 555801965 585054700 766623400 889283144 1111603930 1170109400 1533246800 1778566288 2223207860 2340218800 2779009825 4446415720 5558019650 8892831440 11116039300 22232078600 44464157200