Search a number
-
+
12462144310641 = 3191279252167807
BaseRepresentation
bin1011010101011001000110…
…1011110100110101110001
31122010100222021010112202010
42311112101223310311301
53113134432420420031
642301010254313133
72424234360565524
oct265262153646561
948110867115663
1012462144310641
113a75190637613
1214932b6ab87a9
136c5237abb86c
14311257336bbb
15169280438246
hexb5591af4d71

12462144310641 has 32 divisors (see below), whose sum is σ = 17511605862400. Its totient is φ = 7861438488960.

The previous prime is 12462144310601. The next prime is 12462144310657. The reversal of 12462144310641 is 14601344126421.

It is not a de Polignac number, because 12462144310641 - 233 = 12453554376049 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12462144310641.

It is not an unprimeable number, because it can be changed into a prime (12462144310601) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183754560 + ... + 183822366.

It is an arithmetic number, because the mean of its divisors is an integer number (547237683200).

Almost surely, 212462144310641 is an apocalyptic number.

It is an amenable number.

12462144310641 is a deficient number, since it is larger than the sum of its proper divisors (5049461551759).

12462144310641 is a wasteful number, since it uses less digits than its factorization.

12462144310641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71629.

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 12462144310641 in words is "twelve trillion, four hundred sixty-two billion, one hundred forty-four million, three hundred ten thousand, six hundred forty-one".

Divisors: 1 3 19 57 1279 2521 3837 7563 24301 47899 67807 72903 143697 203421 1288333 3224359 3864999 9673077 61262821 86725153 170941447 183788463 260175459 512824341 1647777907 3247887493 4943333721 9743662479 218634110713 655902332139 4154048103547 12462144310641