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42244344560 = 24511591375939
BaseRepresentation
bin100111010101111101…
…011000101011110000
311001001002012001110002
4213111331120223300
51143004023011220
631223510525132
73023566001255
oct472575305360
9131032161402
1042244344560
1116a08916360
12822b6667a8
133ca303c0b2
14208a6ad42c
151173a62c75
hex9d5f58af0

42244344560 has 160 divisors (see below), whose sum is σ = 109776902400. Its totient is φ = 14988462080.

The previous prime is 42244344557. The next prime is 42244344563. The reversal of 42244344560 is 6544344224.

It is an interprime number because it is at equal distance from previous prime (42244344557) and next prime (42244344563).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42244344563) 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, 7110071 + ... + 7116009.

It is an arithmetic number, because the mean of its divisors is an integer number (686105640).

Almost surely, 242244344560 is an apocalyptic number.

42244344560 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 42244344560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54888451200).

42244344560 is an abundant number, since it is smaller than the sum of its proper divisors (67532557840).

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

42244344560 is a wasteful number, since it uses less digits than its factorization.

42244344560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6159 (or 6153 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 38.

Adding to 42244344560 its reverse (6544344224), we get a palindrome (48788688784).

The spelling of 42244344560 in words is "forty-two billion, two hundred forty-four million, three hundred forty-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 59 80 88 110 118 137 176 220 236 274 295 440 472 548 590 649 685 880 944 1096 1180 1298 1370 1507 2192 2360 2596 2740 3014 3245 4720 5192 5480 5939 6028 6490 7535 8083 10384 10960 11878 12056 12980 15070 16166 23756 24112 25960 29695 30140 32332 40415 47512 51920 59390 60280 64664 65329 80830 88913 95024 118780 120560 129328 130658 161660 177826 237560 261316 323320 326645 350401 355652 444565 475120 522632 646640 653290 700802 711304 813643 889130 1045264 1306580 1401604 1422608 1627286 1752005 1778260 2613160 2803208 3254572 3504010 3556520 3854411 4068215 5226320 5606416 6509144 7008020 7113040 7708822 8136430 8950073 13018288 14016040 15417644 16272860 17900146 19272055 28032080 30835288 32545720 35800292 38544110 44750365 48004937 61670576 65091440 71600584 77088220 89500730 96009874 143201168 154176440 179001460 192019748 240024685 308352880 358002920 384039496 480049370 528054307 716005840 768078992 960098740 1056108614 1920197480 2112217228 2640271535 3840394960 4224434456 5280543070 8448868912 10561086140 21122172280 42244344560