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24214041024001 = 175932401948321
BaseRepresentation
bin1011000000101110001010…
…10100000101011000000001
310011201211200011002211000021
411200113011110011120001
511133210324000232001
6123255435450053441
75046256336512043
oct540270524053001
9104654604084007
1024214041024001
117796131998a74
122870a1541a281
1310684b337215a
145d9d74393a93
152bece1cedba1
hex1605c5505601

24214041024001 has 8 divisors (see below), whose sum is σ = 25681631458824. Its totient is φ = 22751254487040.

The previous prime is 24214041023959. The next prime is 24214041024059. The reversal of 24214041024001 is 10042014041242.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6607079539776 + 17606961484225 = 2570424^2 + 4196065^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 24214041024001 - 213 = 24214041015809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (24214041024071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1200964080 + ... + 1200984241.

It is an arithmetic number, because the mean of its divisors is an integer number (3210203932353).

Almost surely, 224214041024001 is an apocalyptic number.

It is an amenable number.

24214041024001 is a deficient number, since it is larger than the sum of its proper divisors (1467590434823).

24214041024001 is a wasteful number, since it uses less digits than its factorization.

24214041024001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2401948931.

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 24214041024001 its reverse (10042014041242), we get a palindrome (34256055065243).

The spelling of 24214041024001 in words is "twenty-four trillion, two hundred fourteen billion, forty-one million, twenty-four thousand, one".

Divisors: 1 17 593 10081 2401948321 40833121457 1424355354353 24214041024001