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4221413420 = 2257295917623
BaseRepresentation
bin1111101110011101…
…1010100000101100
3101220012100000120012
43323213122200230
532121140212140
61534515312352
7206416264520
oct37347324054
911805300505
104221413420
111876972424
129998ab6b8
13523765583
142c090bd80
1519a90e265
hexfb9da82c

4221413420 has 96 divisors (see below), whose sum is σ = 10658995200. Its totient is φ = 1373670144.

The previous prime is 4221413411. The next prime is 4221413447. The reversal of 4221413420 is 243141224.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 230729 + ... + 248351.

It is an arithmetic number, because the mean of its divisors is an integer number (111031200).

Almost surely, 24221413420 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 4221413420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5329497600).

4221413420 is an abundant number, since it is smaller than the sum of its proper divisors (6437581780).

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

4221413420 is a wasteful number, since it uses less digits than its factorization.

4221413420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17727 (or 17725 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 4221413420 is about 64972.4050655353. The cubic root of 4221413420 is about 1616.1659853644.

Adding to 4221413420 its reverse (243141224), we get a palindrome (4464554644).

The spelling of 4221413420 in words is "four billion, two hundred twenty-one million, four hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 59 70 116 118 140 145 203 236 290 295 406 413 580 590 812 826 1015 1180 1652 1711 2030 2065 3422 4060 4130 6844 8260 8555 11977 17110 17623 23954 34220 35246 47908 59885 70492 88115 119770 123361 176230 239540 246722 352460 493444 511067 616805 1022134 1039757 1233610 2044268 2079514 2467220 2555335 3577469 4159028 5110670 5198785 7154938 7278299 10221340 10397570 14309876 14556598 17887345 20795140 29113196 30152953 35774690 36391495 60305906 71549380 72782990 120611812 145565980 150764765 211070671 301529530 422141342 603059060 844282684 1055353355 2110706710 4221413420