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42003422560 = 25511154315467
BaseRepresentation
bin100111000111100110…
…010101110101100000
311000102021211221121001
4213013212111311200
51142010334010220
631143543041344
73014612125621
oct470746256540
9130367757531
1042003422560
11168a4923070
128182a40254
133c651576b8
1420666b7a48
15115c82380a
hex9c7995d60

42003422560 has 96 divisors (see below), whose sum is σ = 108331437312. Its totient is φ = 15263086080.

The previous prime is 42003422467. The next prime is 42003422611. The reversal of 42003422560 is 6522430024.

42003422560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 2707947 + ... + 2723413.

It is an arithmetic number, because the mean of its divisors is an integer number (1128452472).

Almost surely, 242003422560 is an apocalyptic number.

42003422560 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 42003422560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54165718656).

42003422560 is an abundant number, since it is smaller than the sum of its proper divisors (66328014752).

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

42003422560 is a wasteful number, since it uses less digits than its factorization.

42003422560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17036 (or 17028 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 42003422560 its reverse (6522430024), we get a palindrome (48525852584).

The spelling of 42003422560 in words is "forty-two billion, three million, four hundred twenty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1543 1760 3086 6172 7715 12344 15430 15467 16973 24688 30860 30934 33946 49376 61720 61868 67892 77335 84865 123440 123736 135784 154670 169730 170137 246880 247472 271568 309340 339460 340274 494944 543136 618680 678920 680548 850685 1237360 1357840 1361096 1701370 2474720 2715680 2722192 3402740 5444384 6805480 13610960 23865581 27221920 47731162 95462324 119327905 190924648 238655810 262521391 381849296 477311620 525042782 763698592 954623240 1050085564 1312606955 1909246480 2100171128 2625213910 3818492960 4200342256 5250427820 8400684512 10500855640 21001711280 42003422560