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42243345440 = 25513910911741
BaseRepresentation
bin100111010101111001…
…100100110000100000
311001001000022021220122
4213111321210300200
51143003244023230
631223433255412
73023554340342
oct472571446040
9131030267818
1042243345440
1116a082a373a
12822b264568
133ca2a7c3ba
14208a4cd292
151173916be5
hex9d5e64c20

42243345440 has 96 divisors (see below), whose sum is σ = 100667810880. Its totient is φ = 16750771200.

The previous prime is 42243345437. The next prime is 42243345461. The reversal of 42243345440 is 4454334224.

It is a self number, because there is not a number n which added to its sum of digits gives 42243345440.

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, 24262970 + ... + 24264710.

It is an arithmetic number, because the mean of its divisors is an integer number (1048623030).

Almost surely, 242243345440 is an apocalyptic number.

42243345440 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 42243345440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50333905440).

42243345440 is an abundant number, since it is smaller than the sum of its proper divisors (58424465440).

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

42243345440 is a wasteful number, since it uses less digits than its factorization.

42243345440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2986 (or 2978 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 35.

Adding to 42243345440 its reverse (4454334224), we get a palindrome (46697679664).

The spelling of 42243345440 in words is "forty-two billion, two hundred forty-three million, three hundred forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 139 160 278 556 695 1091 1112 1390 1741 2182 2224 2780 3482 4364 4448 5455 5560 6964 8705 8728 10910 11120 13928 17410 17456 21820 22240 27856 34820 34912 43640 55712 69640 87280 139280 151649 174560 241999 278560 303298 483998 606596 758245 967996 1209995 1213192 1516490 1899431 1935992 2419990 2426384 3032980 3798862 3871984 4839980 4852768 6065960 7597724 7743968 9497155 9679960 12131920 15195448 18994310 19359920 24263840 30390896 37988620 38719840 60781792 75977240 151954480 264020909 303908960 528041818 1056083636 1320104545 2112167272 2640209090 4224334544 5280418180 8448669088 10560836360 21121672720 42243345440