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42144314440 = 23517101613633
BaseRepresentation
bin100111001111111111…
…110011010001001000
311000210002221222220211
4213033333303101020
51142302421030230
631205534530504
73021242522254
oct471777632110
9130702858824
1042144314440
1116967404238
128202066a34
133c883b7987
14207b2b1264
151169da442a
hex9cfff3448

42144314440 has 64 divisors (see below), whose sum is σ = 101396882160. Its totient is φ = 15708979200.

The previous prime is 42144314419. The next prime is 42144314453. The reversal of 42144314440 is 4441344124.

It can be written as a sum of positive squares in 8 ways, for example, as 23111904676 + 19032409764 = 152026^2 + 137958^2 .

It is a super-2 number, since 2×421443144402 (a number of 22 digits) contains 22 as substring.

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, 238137 + ... + 375496.

Almost surely, 242144314440 is an apocalyptic number.

42144314440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42144314440 is an abundant number, since it is smaller than the sum of its proper divisors (59252567720).

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

42144314440 is a wasteful number, since it uses less digits than its factorization.

42144314440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613762 (or 613758 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 42144314440 its reverse (4441344124), we get a palindrome (46585658564).

The spelling of 42144314440 in words is "forty-two billion, one hundred forty-four million, three hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 101 136 170 202 340 404 505 680 808 1010 1717 2020 3434 4040 6868 8585 13736 17170 34340 68680 613633 1227266 2454532 3068165 4909064 6136330 10431761 12272660 20863522 24545320 41727044 52158805 61976933 83454088 104317610 123953866 208635220 247907732 309884665 417270440 495815464 619769330 1053607861 1239538660 2107215722 2479077320 4214431444 5268039305 8428862888 10536078610 21072157220 42144314440