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44202818320 = 2454153892857
BaseRepresentation
bin101001001010101100…
…010111101100010000
311020002120101211101021
4221022230113230100
51211011410141240
632150111445224
73123246520303
oct511254275420
9136076354337
1044202818320
111782337a711
128697526814
134225a06ccb
1421d4838b3a
15123a97154a
hexa4ab17b10

44202818320 has 160 divisors (see below), whose sum is σ = 108507742560. Its totient is φ = 16728391680.

The previous prime is 44202818281. The next prime is 44202818327. The reversal of 44202818320 is 2381820244.

It can be written as a sum of positive squares in 16 ways, for example, as 18715334416 + 25487483904 = 136804^2 + 159648^2 .

It is not an unprimeable number, because it can be changed into a prime (44202818327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15470332 + ... + 15473188.

It is an arithmetic number, because the mean of its divisors is an integer number (678173391).

Almost surely, 244202818320 is an apocalyptic number.

44202818320 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 44202818320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54253871280).

44202818320 is an abundant number, since it is smaller than the sum of its proper divisors (64304924240).

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

44202818320 is a wasteful number, since it uses less digits than its factorization.

44202818320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3053 (or 3047 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The spelling of 44202818320 in words is "forty-four billion, two hundred two million, eight hundred eighteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 41 53 80 82 89 106 164 178 205 212 265 328 356 410 424 445 530 656 712 820 848 890 1060 1424 1640 1780 2120 2173 2857 3280 3560 3649 4240 4346 4717 5714 7120 7298 8692 9434 10865 11428 14285 14596 17384 18245 18868 21730 22856 23585 28570 29192 34768 36490 37736 43460 45712 47170 57140 58384 72980 75472 86920 94340 114280 117137 145960 151421 173840 188680 193397 228560 234274 254273 291920 302842 377360 386794 468548 508546 585685 605684 757105 773588 937096 966985 1017092 1171370 1211368 1271365 1514210 1547176 1874192 1933970 2034184 2342740 2422736 2542730 3028420 3094352 3867940 4068368 4685480 5085460 6056840 6208261 7735880 9370960 10170920 10425193 12113680 12416522 13476469 15471760 20341840 20850386 24833044 26952938 31041305 41700772 49666088 52125965 53905876 62082610 67382345 83401544 99332176 104251930 107811752 124165220 134764690 166803088 208503860 215623504 248330440 269529380 417007720 496660880 539058760 552535229 834015440 1078117520 1105070458 2210140916 2762676145 4420281832 5525352290 8840563664 11050704580 22101409160 44202818320