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42844823640 = 2334577317107
BaseRepresentation
bin100111111001110000…
…000010000001011000
311002120221002112220000
4213321300002001120
51200221233324030
631403241133000
73044506664163
oct477160020130
9132527075800
1042844823640
1117196871163
12837878a160
13406a574a68
14210633cada
1511ab627860
hex9f9c02058

42844823640 has 160 divisors (see below), whose sum is σ = 144200936880. Its totient is φ = 11409838848.

The previous prime is 42844823633. The next prime is 42844823717. The reversal of 42844823640 is 4632844824.

42844823640 is a `hidden beast` number, since 4 + 284 + 4 + 8 + 2 + 364 + 0 = 666.

It is a super-3 number, since 3×428448236403 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2495967 + ... + 2513073.

Almost surely, 242844823640 is an apocalyptic number.

42844823640 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 42844823640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72100468440).

42844823640 is an abundant number, since it is smaller than the sum of its proper divisors (101356113240).

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

42844823640 is a wasteful number, since it uses less digits than its factorization.

42844823640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17903 (or 17890 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 45.

The spelling of 42844823640 in words is "forty-two billion, eight hundred forty-four million, eight hundred twenty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 773 810 1080 1546 1620 2319 3092 3240 3865 4638 6184 6957 7730 9276 11595 13914 15460 17107 18552 20871 23190 27828 30920 34214 34785 41742 46380 51321 55656 62613 68428 69570 83484 85535 92760 102642 104355 125226 136856 139140 153963 166968 171070 205284 208710 250452 256605 278280 307926 313065 342140 410568 417420 461889 500904 513210 615852 626130 684280 769815 834840 923778 1026420 1231704 1252260 1385667 1539630 1847556 2052840 2309445 2504520 2771334 3079260 3695112 4618890 5542668 6158520 6928335 9237780 11085336 13223711 13856670 18475560 26447422 27713340 39671133 52894844 55426680 66118555 79342266 105789688 119013399 132237110 158684532 198355665 238026798 264474220 317369064 357040197 396711330 476053596 528948440 595066995 714080394 793422660 952107192 1071120591 1190133990 1428160788 1586845320 1785200985 2142241182 2380267980 2856321576 3570401970 4284482364 4760535960 5355602955 7140803940 8568964728 10711205910 14281607880 21422411820 42844823640