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4301413420 = 2251963117939
BaseRepresentation
bin1000000000110001…
…00101110000101100
3102002202212102221011
410000120211300230
532302130212140
61550454115004
7211410260623
oct40030456054
912082772834
104301413420
111908043627
12a0064ba64
135371c5955
142cb3b46ba
151a2962cea
hex100625c2c

4301413420 has 48 divisors (see below), whose sum is σ = 9523987200. Its totient is φ = 1627335360.

The previous prime is 4301413411. The next prime is 4301413421. The reversal of 4301413420 is 243141034.

It is a junction number, because it is equal to n+sod(n) for n = 4301413391 and 4301413400.

It is not an unprimeable number, because it can be changed into a prime (4301413421) 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 15 ways as a sum of consecutive naturals, for example, 230811 + ... + 248749.

It is an arithmetic number, because the mean of its divisors is an integer number (198416400).

Almost surely, 24301413420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4301413420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4761993600).

4301413420 is an abundant number, since it is smaller than the sum of its proper divisors (5222573780).

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

4301413420 is a wasteful number, since it uses less digits than its factorization.

4301413420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18598 (or 18596 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 4301413420 is about 65585.1615840047. The cubic root of 4301413420 is about 1626.3114834302.

Adding to 4301413420 its reverse (243141034), we get a palindrome (4544554454).

The spelling of 4301413420 in words is "four billion, three hundred one million, four hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 631 1262 2524 3155 6310 11989 12620 17939 23978 35878 47956 59945 71756 89695 119890 179390 239780 340841 358780 681682 1363364 1704205 3408410 6816820 11319509 22639018 45278036 56597545 113195090 215070671 226390180 430141342 860282684 1075353355 2150706710 4301413420