Search a number
-
+
4144011877 = 37300137321
BaseRepresentation
bin1111011100000000…
…1001101001100101
3101200210200121121101
43313000021221211
531441331340002
61523112320101
7204456343165
oct36700115145
911623617541
104144011877
111837206505
129779a3031
13510704b45
142b45205a5
15193c20587
hexf7009a65

4144011877 has 8 divisors (see below), whose sum is σ = 4257544472. Its totient is φ = 4030560000.

The previous prime is 4144011871. The next prime is 4144011887. The reversal of 4144011877 is 7781104414.

It is a Cunningham number, because it is equal to 643742+1.

It can be written as a sum of positive squares in 4 ways, for example, as 2229161796 + 1914850081 = 47214^2 + 43759^2 .

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 4144011877 - 219 = 4143487589 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144011871) 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, 92377 + ... + 129697.

It is an arithmetic number, because the mean of its divisors is an integer number (532193059).

Almost surely, 24144011877 is an apocalyptic number.

It is an amenable number.

4144011877 is a deficient number, since it is larger than the sum of its proper divisors (113532595).

4144011877 is a wasteful number, since it uses less digits than its factorization.

4144011877 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40359.

The product of its (nonzero) digits is 25088, while the sum is 37.

The square root of 4144011877 is about 64374.0000077671. Note that the first 5 decimals coincide. The cubic root of 4144011877 is about 1606.2272781698.

The spelling of 4144011877 in words is "four billion, one hundred forty-four million, eleven thousand, eight hundred seventy-seven".

Divisors: 1 37 3001 37321 111037 1380877 112000321 4144011877