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4243220240 = 245761912241
BaseRepresentation
bin1111110011101010…
…0110011100010000
3101221201100220220012
43330322212130100
532142231021430
61541014534052
7210102530330
oct37472463420
911851326805
104243220240
111888207196
129a5067328
1352812c20c
142c37870c0
1519c7ba695
hexfcea6710

4243220240 has 80 divisors (see below), whose sum is σ = 11293979520. Its totient is φ = 1452349440.

The previous prime is 4243220237. The next prime is 4243220249. The reversal of 4243220240 is 420223424.

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

It is not an unprimeable number, because it can be changed into a prime (4243220249) 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, 340520 + ... + 352760.

It is an arithmetic number, because the mean of its divisors is an integer number (141174744).

Almost surely, 24243220240 is an apocalyptic number.

4243220240 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 4243220240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5646989760).

4243220240 is an abundant number, since it is smaller than the sum of its proper divisors (7050759280).

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

4243220240 is a wasteful number, since it uses less digits than its factorization.

4243220240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12880 (or 12874 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

The square root of 4243220240 is about 65140.0049124960. The cubic root of 4243220240 is about 1618.9441171084.

Adding to 4243220240 its reverse (420223424), we get a palindrome (4663443664).

The spelling of 4243220240 in words is "four billion, two hundred forty-three million, two hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 619 1238 2476 3095 4333 4952 6190 8666 9904 12241 12380 17332 21665 24482 24760 34664 43330 48964 49520 61205 69328 85687 86660 97928 122410 171374 173320 195856 244820 342748 346640 428435 489640 685496 856870 979280 1370992 1713740 3427480 6854960 7577179 15154358 30308716 37885895 53040253 60617432 75771790 106080506 121234864 151543580 212161012 265201265 303087160 424322024 530402530 606174320 848644048 1060805060 2121610120 4243220240