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44200440200 = 2352725098861
BaseRepresentation
bin101001001010100011…
…010011000110001000
311020002101221000012202
4221022203103012020
51211010303041300
632145544455332
73123220354100
oct511243230610
9136071830182
1044200440200
1117821aa5a24
12869677a548
134225383737
1421d43ba200
15123a651ad5
hexa4a8d3188

44200440200 has 144 divisors (see below), whose sum is σ = 119792528100. Its totient is φ = 15122956800.

The previous prime is 44200440199. The next prime is 44200440209. The reversal of 44200440200 is 204400244.

It can be written as a sum of positive squares in 6 ways, for example, as 36900104836 + 7300335364 = 192094^2 + 85442^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (44200440209) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4983770 + ... + 4992630.

Almost surely, 244200440200 is an apocalyptic number.

44200440200 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 44200440200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59896264050).

44200440200 is an abundant number, since it is smaller than the sum of its proper divisors (75592087900).

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

44200440200 is a wasteful number, since it uses less digits than its factorization.

44200440200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9400 (or 9384 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 44200440200 its reverse (204400244), we get a palindrome (44404840444).

The spelling of 44200440200 in words is "forty-four billion, two hundred million, four hundred forty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 509 700 980 1018 1225 1400 1960 2036 2450 2545 3563 4072 4900 5090 7126 8861 9800 10180 12725 14252 17722 17815 20360 24941 25450 28504 35444 35630 44305 49882 50900 62027 70888 71260 88610 89075 99764 101800 124054 124705 142520 177220 178150 199528 221525 248108 249410 310135 354440 356300 434189 443050 496216 498820 620270 623525 712600 868378 886100 997640 1240540 1247050 1550675 1736756 1772200 2170945 2481080 2494100 3101350 3473512 4341890 4510249 4988200 6202700 8683780 9020498 10854725 12405400 17367560 18040996 21709450 22551245 31571743 36081992 43418900 45102490 63143486 86837800 90204980 112756225 126286972 157858715 180409960 221002201 225512450 252573944 315717430 442004402 451024900 631434860 789293575 884008804 902049800 1105011005 1262869720 1578587150 1768017608 2210022010 3157174300 4420044020 5525055025 6314348600 8840088040 11050110050 22100220100 44200440200