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6144400241 = 71635719431
BaseRepresentation
bin1011011100011110…
…00001101101110001
3120212012202212120022
411232033001231301
5100040431301431
62453411453225
7305156353220
oct55617015561
916765685508
106144400241
112673398931
1212358b7215
1376bc86bb5
1442407acb7
1525e65d07b
hex16e3c1b71

6144400241 has 16 divisors (see below), whose sum is σ = 7078376448. Its totient is φ = 5224597200.

The previous prime is 6144400183. The next prime is 6144400267. The reversal of 6144400241 is 1420044416.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-6144400241 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 6144400241.

It is not an unprimeable number, because it can be changed into a prime (6144400271) 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, 646796 + ... + 656226.

It is an arithmetic number, because the mean of its divisors is an integer number (442398528).

Almost surely, 26144400241 is an apocalyptic number.

It is an amenable number.

6144400241 is a deficient number, since it is larger than the sum of its proper divisors (933976207).

6144400241 is a wasteful number, since it uses less digits than its factorization.

6144400241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10172.

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 6144400241 is about 78386.2248166092. The cubic root of 6144400241 is about 1831.5825581916.

Adding to 6144400241 its reverse (1420044416), we get a palindrome (7564444657).

The spelling of 6144400241 in words is "six billion, one hundred forty-four million, four hundred thousand, two hundred forty-one".

Divisors: 1 7 163 571 1141 3997 9431 66017 93073 651511 1537253 5385101 10760771 37695707 877771463 6144400241