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44144420312200 = 23521317998742541
BaseRepresentation
bin10100000100110001011000…
…11111011101010010001000
312210022011110112220201101111
422002120230133131102020
521241230233044442300
6233515400002500104
712204220613333545
oct1202305437352210
9183264415821344
1044144420312200
111307a5a847285a
124b4b599064634
131b82a5497a720
14ac885c12bbcc
1551846e9e59ba
hex28262c7dd488

44144420312200 has 96 divisors (see below), whose sum is σ = 117032651071560. Its totient is φ = 15340685414400.

The previous prime is 44144420312159. The next prime is 44144420312299. The reversal of 44144420312200 is 221302444144.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 2184418968484 + 41960001343716 = 1477978^2 + 6477654^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 499327071 + ... + 499415470.

Almost surely, 244144420312200 is an apocalyptic number.

44144420312200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44144420312200 is an abundant number, since it is smaller than the sum of its proper divisors (72888230759360).

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

44144420312200 is a wasteful number, since it uses less digits than its factorization.

44144420312200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998742587 (or 998742578 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 44144420312200 its reverse (221302444144), we get a palindrome (44365722756344).

The spelling of 44144420312200 in words is "forty-four trillion, one hundred forty-four billion, four hundred twenty million, three hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 17 20 25 26 34 40 50 52 65 68 85 100 104 130 136 170 200 221 260 325 340 425 442 520 650 680 850 884 1105 1300 1700 1768 2210 2600 3400 4420 5525 8840 11050 22100 44200 998742541 1997485082 3994970164 4993712705 7989940328 9987425410 12983653033 16978623197 19974850820 24968563525 25967306066 33957246394 39949701640 49937127050 51934612132 64918265165 67914492788 84893115985 99874254100 103869224264 129836530330 135828985576 169786231970 199748508200 220722101561 259673060660 324591325825 339572463940 424465579925 441444203122 519346121320 649182651650 679144927880 848931159850 882888406244 1103610507805 1298365303300 1697862319700 1765776812488 2207221015610 2596730606600 3395724639400 4414442031220 5518052539025 8828884062440 11036105078050 22072210156100 44144420312200