Search a number
-
+
44303364300 = 223521335931643
BaseRepresentation
bin101001010000101011…
…111011000011001100
311020100120121002112110
4221100223323003030
51211213130124200
632204102504020
73125610245256
oct512053730314
9136316532473
1044303364300
1117875104368
128705135010
1342407ac180
142203d2ccd6
1512446d2b50
hexa50afb0cc

44303364300 has 144 divisors (see below), whose sum is σ = 138433639680. Its totient is φ = 10874722560.

The previous prime is 44303364263. The next prime is 44303364311. The reversal of 44303364300 is 346330344.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1384279 + ... + 1415921.

It is an arithmetic number, because the mean of its divisors is an integer number (961344720).

Almost surely, 244303364300 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 44303364300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69216819840).

44303364300 is an abundant number, since it is smaller than the sum of its proper divisors (94130275380).

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

44303364300 is a wasteful number, since it uses less digits than its factorization.

44303364300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32032 (or 32025 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 44303364300 its reverse (346330344), we get a palindrome (44649694644).

The spelling of 44303364300 in words is "forty-four billion, three hundred three million, three hundred sixty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 359 390 650 718 780 975 1077 1300 1436 1795 1950 2154 3590 3900 4308 4667 5385 7180 8975 9334 10770 14001 17950 18668 21540 23335 26925 28002 31643 35900 46670 53850 56004 63286 70005 93340 94929 107700 116675 126572 140010 158215 189858 233350 280020 316430 350025 379716 411359 466700 474645 632860 700050 791075 822718 949290 1234077 1400100 1582150 1645436 1898580 2056795 2373225 2468154 3164300 4113590 4746450 4936308 6170385 8227180 9492900 10283975 11359837 12340770 20567950 22719674 24681540 30851925 34079511 41135900 45439348 56799185 61703850 68159022 113598370 123407700 136318044 147677881 170397555 227196740 283995925 295355762 340795110 443033643 567991850 590711524 681590220 738389405 851987775 886067286 1135983700 1476778810 1703975550 1772134572 2215168215 2953557620 3407951100 3691947025 4430336430 7383894050 8860672860 11075841075 14767788100 22151682150 44303364300