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72144844127 = 1912711393807
BaseRepresentation
bin100001100110000101…
…0101111010101011111
320220012220020210212222
41003030022233111133
52140223040003002
653050510215555
75132550025346
oct1031412572537
9226186223788
1072144844127
112866197a224
1211b951b45bb
136a59906ba5
1436c5816b5d
151d23a851a2
hex10cc2af55f

72144844127 has 8 divisors (see below), whose sum is σ = 72790228992. Its totient is φ = 71502247800.

The previous prime is 72144844117. The next prime is 72144844157.

It is a happy number.

72144844127 is nontrivially palindromic in base 10.

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 72144844127 - 216 = 72144778591 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72144844117) 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, 645143 + ... + 748664.

It is an arithmetic number, because the mean of its divisors is an integer number (9098778624).

Almost surely, 272144844127 is an apocalyptic number.

72144844127 is a deficient number, since it is larger than the sum of its proper divisors (645384865).

72144844127 is a wasteful number, since it uses less digits than its factorization.

72144844127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1394269.

The product of its digits is 401408, while the sum is 44.

The spelling of 72144844127 in words is "seventy-two billion, one hundred forty-four million, eight hundred forty-four thousand, one hundred twenty-seven".

Divisors: 1 191 271 51761 1393807 266217137 377721697 72144844127