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42344241440 = 2551511752659
BaseRepresentation
bin100111011011111010…
…011101100100100000
311001022001011100012112
4213123322131210200
51143210111211230
631241440014452
73026221053644
oct473372354440
9131261140175
1042344241440
1116a5a247366
128259001428
133cba947987
142099a74c24
15117c6e6d95
hex9dbe9d920

42344241440 has 48 divisors (see below), whose sum is σ = 100700832960. Its totient is φ = 16825516800.

The previous prime is 42344241437. The next prime is 42344241451. The reversal of 42344241440 is 4414244324.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 42344241397 and 42344241406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 852170 + ... + 900489.

It is an arithmetic number, because the mean of its divisors is an integer number (2097934020).

Almost surely, 242344241440 is an apocalyptic number.

42344241440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42344241440 is an abundant number, since it is smaller than the sum of its proper divisors (58356591520).

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

42344241440 is a wasteful number, since it uses less digits than its factorization.

42344241440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752825 (or 1752817 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 42344241440 its reverse (4414244324), we get a palindrome (46758485764).

The spelling of 42344241440 in words is "forty-two billion, three hundred forty-four million, two hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 151 160 302 604 755 1208 1510 2416 3020 4832 6040 12080 24160 1752659 3505318 7010636 8763295 14021272 17526590 28042544 35053180 56085088 70106360 140212720 264651509 280425440 529303018 1058606036 1323257545 2117212072 2646515090 4234424144 5293030180 8468848288 10586060360 21172120720 42344241440