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4242448442424 = 233731011371391259
BaseRepresentation
bin111101101111000101101…
…000011110010000111000
3120000120111112012200111210
4331233011220132100320
51024002013300124144
613004542013323120
7615335553524043
oct75570550362070
916016445180453
104242448442424
1113962375aa945
1258626b4964a0
1324a0a451725a
1410949ac5bc5a
1575550d5aab9
hex3dbc5a1e438

4242448442424 has 256 divisors, whose sum is σ = 11024548416000. Its totient is φ = 1359944294400.

The previous prime is 4242448442423. The next prime is 4242448442437.

It is a happy number.

4242448442424 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4242448442423) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3369696307 + ... + 3369697565.

It is an arithmetic number, because the mean of its divisors is an integer number (43064642250).

Almost surely, 24242448442424 is an apocalyptic number.

It is an amenable number.

4242448442424 is an abundant number, since it is smaller than the sum of its proper divisors (6782099973576).

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

4242448442424 is a wasteful number, since it uses less digits than its factorization.

4242448442424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1718 (or 1714 counting only the distinct ones).

The product of its digits is 8388608, while the sum is 48.

The spelling of 4242448442424 in words is "four trillion, two hundred forty-two billion, four hundred forty-eight million, four hundred forty-two thousand, four hundred twenty-four".