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1484349044360 = 235721324481189
BaseRepresentation
bin10101100110011010000…
…110001111011010001000
312020220100211121012202212
4111212122012033122020
5143304421323404420
63053522303244252
7212145360462200
oct25463206173210
95226324535685
101484349044360
1152256637a806
121bb8155a9688
13a9c86a70600
1451bb2bd7400
152892834e3c5
hex1599a18f688

1484349044360 has 144 divisors (see below), whose sum is σ = 4206896360100. Its totient is φ = 469771900416.

The previous prime is 1484349044357. The next prime is 1484349044429. The reversal of 1484349044360 is 634409434841.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 262568107396 + 1221780936964 = 512414^2 + 1105342^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1484349044299 and 1484349044308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1909355 + ... + 2571834.

Almost surely, 21484349044360 is an apocalyptic number.

1484349044360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1484349044360 is an abundant number, since it is smaller than the sum of its proper divisors (2722547315740).

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

1484349044360 is a wasteful number, since it uses less digits than its factorization.

1484349044360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4481240 (or 4481216 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 50.

The spelling of 1484349044360 in words is "one trillion, four hundred eighty-four billion, three hundred forty-nine million, forty-four thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 49 52 56 65 70 91 98 104 130 140 169 182 196 245 260 280 338 364 392 455 490 520 637 676 728 845 910 980 1183 1274 1352 1690 1820 1960 2366 2548 3185 3380 3640 4732 5096 5915 6370 6760 8281 9464 11830 12740 16562 23660 25480 33124 41405 47320 66248 82810 165620 331240 4481189 8962378 17924756 22405945 31368323 35849512 44811890 58255457 62736646 89623780 116510914 125473292 156841615 179247560 219578261 233021828 250946584 291277285 313683230 407788199 439156522 466043656 582554570 627366460 757320941 815576398 878313044 1097891305 1165109140 1254732920 1514641882 1631152796 1756626088 2038940995 2195782610 2330218280 2854517393 3029283764 3262305592 3786604705 4077881990 4391565220 5301246587 5709034786 6058567528 7573209410 8155763980 8783130440 10602493174 11418069572 14272586965 15146418820 16311527960 21204986348 22836139144 26506232935 28545173930 30292837640 37108726109 42409972696 53012465870 57090347860 74217452218 106024931740 114180695720 148434904436 185543630545 212049863480 296869808872 371087261090 742174522180 1484349044360