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4202030303440 = 245113517189891
BaseRepresentation
bin111101001001011100100…
…001100000100011010000
3112212201011201100111011021
4331021130201200203100
51022321224224202230
612534215220325224
7612405141153124
oct75113441404320
915781151314137
104202030303440
1113800866178a2
1257a46b543814
13246332942098
14107544d27584
15744877cac7a
hex3d25c8608d0

4202030303440 has 80 divisors (see below), whose sum is σ = 9858193874496. Its totient is φ = 1665596979200.

The previous prime is 4202030303381. The next prime is 4202030303447. The reversal of 4202030303440 is 443030302024.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4202030303447) by changing a digit.

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, 46700895 + ... + 46790785.

Almost surely, 24202030303440 is an apocalyptic number.

4202030303440 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 4202030303440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4929096937248).

4202030303440 is an abundant number, since it is smaller than the sum of its proper divisors (5656163571056).

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

4202030303440 is a wasteful number, since it uses less digits than its factorization.

4202030303440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95188 (or 95182 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

Adding to 4202030303440 its reverse (443030302024), we get a palindrome (4645060605464).

The spelling of 4202030303440 in words is "four trillion, two hundred two billion, thirty million, three hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 452 565 904 1130 1808 2260 4520 5171 9040 10342 20684 25855 41368 51710 82736 89891 103420 179782 206840 359564 413680 449455 584323 719128 898910 1168646 1438256 1797820 2337292 2921615 3595640 4674584 5843230 7191280 9349168 10157683 11686460 20315366 23372920 40630732 46745840 50788415 81261464 101576830 162522928 203153660 406307320 464826361 812614640 929652722 1859305444 2324131805 3718610888 4648263610 7437221776 9296527220 18593054440 37186108880 52525378793 105050757586 210101515172 262626893965 420203030344 525253787930 840406060688 1050507575860 2101015151720 4202030303440