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42243124240 = 2455396710303
BaseRepresentation
bin100111010101111000…
…101110110000010000
311001000222220001111001
4213111320232300100
51143003214433430
631223424431344
73023552426422
oct472570566020
9131028801431
1042243124240
1116a08162529
12822b178554
133ca2a02805
14208a472812
1511738c13ca
hex9d5e2ec10

42243124240 has 80 divisors (see below), whose sum is σ = 100181587968. Its totient is φ = 16559682048.

The previous prime is 42243124201. The next prime is 42243124279. The reversal of 42243124240 is 4242134224.

It is an interprime number because it is at equal distance from previous prime (42243124201) and next prime (42243124279).

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 42243124199 and 42243124208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4094929 + ... + 4105231.

Almost surely, 242243124240 is an apocalyptic number.

42243124240 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 42243124240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50090793984).

42243124240 is an abundant number, since it is smaller than the sum of its proper divisors (57938463728).

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

42243124240 is a wasteful number, since it uses less digits than its factorization.

42243124240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11336 (or 11330 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 42243124240 its reverse (4242134224), we get a palindrome (46485258464).

The spelling of 42243124240 in words is "forty-two billion, two hundred forty-three million, one hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 967 1060 1934 2120 3868 4240 4835 7736 9670 10303 15472 19340 20606 38680 41212 51251 51515 77360 82424 102502 103030 164848 205004 206060 256255 410008 412120 512510 546059 820016 824240 1025020 1092118 2050040 2184236 2730295 4100080 4368472 5460590 8736944 9963001 10921180 19926002 21842360 39852004 43684720 49815005 79704008 99630010 159408016 199260020 398520040 528039053 797040080 1056078106 2112156212 2640195265 4224312424 5280390530 8448624848 10560781060 21121562120 42243124240