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4342241440 = 255149182141
BaseRepresentation
bin1000000101101000…
…10101100010100000
3102012121200201110001
410002310111202200
532343103211230
61554513145344
7212414305015
oct40264254240
912177621401
104342241440
11192909a299
12a1225b254
135427bc344
142d29a170c
151a632a0ca
hex102d158a0

4342241440 has 48 divisors (see below), whose sum is σ = 10327451400. Its totient is φ = 1725230080.

The previous prime is 4342241413. The next prime is 4342241443. The reversal of 4342241440 is 441422434.

It can be written as a sum of positive squares in 4 ways, for example, as 3507955984 + 834285456 = 59228^2 + 28884^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4342241399 and 4342241408.

It is not an unprimeable number, because it can be changed into a prime (4342241443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67231 + ... + 114910.

Almost surely, 24342241440 is an apocalyptic number.

4342241440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4342241440 is an abundant number, since it is smaller than the sum of its proper divisors (5985209960).

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

4342241440 is a wasteful number, since it uses less digits than its factorization.

4342241440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182305 (or 182297 counting only the distinct ones).

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

The square root of 4342241440 is about 65895.6860499988. The cubic root of 4342241440 is about 1631.4408126835.

Adding to 4342241440 its reverse (441422434), we get a palindrome (4783663874).

The spelling of 4342241440 in words is "four billion, three hundred forty-two million, two hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 149 160 298 596 745 1192 1490 2384 2980 4768 5960 11920 23840 182141 364282 728564 910705 1457128 1821410 2914256 3642820 5828512 7285640 14571280 27139009 29142560 54278018 108556036 135695045 217112072 271390090 434224144 542780180 868448288 1085560360 2171120720 4342241440