Search a number
-
+
4243221214300 = 22521735943316057
BaseRepresentation
bin111101101111110011101…
…100010111010001011100
3120000122111101022120020101
4331233303230113101130
51024010104112324200
613005150420430444
7615363656135215
oct75576354272134
916018441276211
104243221214300
1113965a3833892
12586446248424
1324a198655a13
1410953173a40c
1575598b0526a
hex3dbf3b1745c

4243221214300 has 144 divisors (see below), whose sum is σ = 9799770899520. Its totient is φ = 1589220311040.

The previous prime is 4243221214279. The next prime is 4243221214313. The reversal of 4243221214300 is 34121223424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 264251872 + ... + 264267928.

It is an arithmetic number, because the mean of its divisors is an integer number (68053964580).

Almost surely, 24243221214300 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 4243221214300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4899885449760).

4243221214300 is an abundant number, since it is smaller than the sum of its proper divisors (5556549685220).

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

4243221214300 is a wasteful number, since it uses less digits than its factorization.

4243221214300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16880 (or 16873 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 4243221214300 its reverse (34121223424), we get a palindrome (4277342437724).

The spelling of 4243221214300 in words is "four trillion, two hundred forty-three billion, two hundred twenty-one million, two hundred fourteen thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 359 425 433 718 850 866 1436 1700 1732 1795 2165 3590 4330 6103 7180 7361 8660 8975 10825 12206 14722 16057 17950 21650 24412 29444 30515 32114 35900 36805 43300 61030 64228 73610 80285 122060 147220 152575 155447 160570 184025 272969 305150 310894 321140 368050 401425 545938 610300 621788 736100 777235 802850 1091876 1364845 1554470 1605700 2642599 2729690 3108940 3886175 5285198 5459380 5764463 6824225 6952681 7772350 10570396 11528926 13212995 13648450 13905362 15544700 23057852 26425990 27296900 27810724 28822315 34763405 52851980 57644630 66064975 69526810 97995871 115289260 118195577 132129950 139053620 144111575 173817025 195991742 236391154 264259900 288223150 347634050 391983484 472782308 489979355 576446300 590977885 695268100 979958710 1181955770 1959917420 2363911540 2449896775 2496012479 2954889425 4899793550 4992024958 5909778850 9799587100 9984049916 11819557700 12480062395 24960124790 42432212143 49920249580 62400311975 84864424286 124800623950 169728848572 212161060715 249601247900 424322121430 848644242860 1060805303575 2121610607150 4243221214300