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42280559904 = 25311268314923
BaseRepresentation
bin100111011000000111…
…100010010100100000
311001010121022222120010
4213120013202110200
51143042310404104
631231243044520
73024515554332
oct473007422440
9131117288503
1042280559904
1116a273014a0
12823b810740
133caa6ac0ab
142091419452
151176d18489
hex9d81e2520

42280559904 has 96 divisors (see below), whose sum is σ = 121129392384. Its totient is φ = 12806657280.

The previous prime is 42280559879. The next prime is 42280559927. The reversal of 42280559904 is 40995508224.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2825787 + ... + 2840709.

It is an arithmetic number, because the mean of its divisors is an integer number (1261764504).

Almost surely, 242280559904 is an apocalyptic number.

42280559904 is a gapful number since it is divisible by the number (44) 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 42280559904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60564696192).

42280559904 is an abundant number, since it is smaller than the sum of its proper divisors (78848832480).

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

42280559904 is a wasteful number, since it uses less digits than its factorization.

42280559904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17630 (or 17622 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 42280559904 in words is "forty-two billion, two hundred eighty million, five hundred fifty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 2683 5366 8049 10732 14923 16098 21464 29513 29846 32196 42928 44769 59026 59692 64392 85856 88539 89538 118052 119384 128784 164153 177078 179076 236104 238768 257568 328306 354156 358152 472208 477536 492459 656612 708312 716304 944416 984918 1313224 1416624 1432608 1969836 2626448 2833248 3939672 5252896 7879344 15758688 40038409 80076818 120115227 160153636 240230454 320307272 440422499 480460908 640614544 880844998 960921816 1281229088 1321267497 1761689996 1921843632 2642534994 3523379992 3843687264 5285069988 7046759984 10570139976 14093519968 21140279952 42280559904