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4243120848 = 243417292229
BaseRepresentation
bin1111110011101000…
…1110001011010000
3101221201011212120000
43330322032023100
532142214331343
61541012450000
7210101634501
oct37472161320
911851155500
104243120848
11188814954a
129a5019900
135280c5bc5
142c375cba8
1519c79aed3
hexfce8e2d0

4243120848 has 300 divisors, whose sum is σ = 13525880940. Its totient is φ = 1279660032.

The previous prime is 4243120841. The next prime is 4243120879. The reversal of 4243120848 is 8480213424.

It can be written as a sum of positive squares in 6 ways, for example, as 744634944 + 3498485904 = 27288^2 + 59148^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4243120841) 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 59 ways as a sum of consecutive naturals, for example, 18528798 + ... + 18529026.

Almost surely, 24243120848 is an apocalyptic number.

4243120848 is a gapful number since it is divisible by the number (48) 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 4243120848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6762940470).

4243120848 is an abundant number, since it is smaller than the sum of its proper divisors (9282760092).

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

4243120848 is a wasteful number, since it uses less digits than its factorization.

4243120848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 4243120848 is about 65139.2419974319. The cubic root of 4243120848 is about 1618.9314764455.

The spelling of 4243120848 in words is "four billion, two hundred forty-three million, one hundred twenty thousand, eight hundred forty-eight".