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4243113424 = 2411291018231
BaseRepresentation
bin1111110011101000…
…1100010111010000
3101221201011111101001
43330322030113100
532142214112144
61541012351344
7210101604034
oct37472142720
911851144331
104243113424
111888143a10
129a5015554
135280c2704
142c375a1c4
1519c798bd4
hexfce8c5d0

4243113424 has 80 divisors (see below), whose sum is σ = 9370650240. Its totient is φ = 1843520000.

The previous prime is 4243113403. The next prime is 4243113509.

4243113424 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4243113392 and 4243113401.

It is a congruent number.

It is an unprimeable number.

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, 511389 + ... + 519619.

It is an arithmetic number, because the mean of its divisors is an integer number (117133128).

Almost surely, 24243113424 is an apocalyptic number.

4243113424 is a gapful number since it is divisible by the number (44) 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 4243113424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4685325120).

4243113424 is an abundant number, since it is smaller than the sum of its proper divisors (5127536816).

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

4243113424 is a wasteful number, since it uses less digits than its factorization.

4243113424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8380 (or 8374 counting only the distinct ones).

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

The square root of 4243113424 is about 65139.1850117884. The cubic root of 4243113424 is about 1618.9305322542.

It can be divided in two parts, 42431 and 13424, that added together give a palindrome (55855).

The spelling of 4243113424 in words is "four billion, two hundred forty-three million, one hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 101 116 176 202 232 319 404 464 638 808 1111 1276 1616 2222 2552 2929 4444 5104 5858 8231 8888 11716 16462 17776 23432 32219 32924 46864 64438 65848 90541 128876 131696 181082 238699 257752 362164 477398 515504 724328 831331 954796 1448656 1662662 1909592 2625689 3325324 3819184 5251378 6650648 9144641 10502756 13301296 18289282 21005512 24108599 36578564 42011024 48217198 73157128 96434396 146314256 192868792 265194589 385737584 530389178 1060778356 2121556712 4243113424