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71442424417 = 7131016377249
BaseRepresentation
bin100001010001001001…
…1001110001001100001
320211101221112012012011
41002202103032021201
52132303230040132
652453055032521
75106260405440
oct1024223161141
9224357465164
1071442424417
1128331427971
1211a19b0b741
13697722b320
14365a40cd57
151cd2085b47
hex10a24ce261

71442424417 has 16 divisors (see below), whose sum is σ = 87938928000. Its totient is φ = 56519580672.

The previous prime is 71442424411. The next prime is 71442424421.

It is a happy number.

71442424417 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-71442424417 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 71442424417.

It is not an unprimeable number, because it can be changed into a prime (71442424411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 886209 + ... + 963457.

It is an arithmetic number, because the mean of its divisors is an integer number (5496183000).

Almost surely, 271442424417 is an apocalyptic number.

It is an amenable number.

71442424417 is a deficient number, since it is larger than the sum of its proper divisors (16496503583).

71442424417 is a wasteful number, since it uses less digits than its factorization.

71442424417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87432.

The product of its digits is 200704, while the sum is 40.

The spelling of 71442424417 in words is "seventy-one billion, four hundred forty-two million, four hundred twenty-four thousand, four hundred seventeen".

Divisors: 1 7 13 91 10163 71141 77249 132119 540743 924833 1004237 7029659 785081587 5495571109 10206060631 71442424417