Search a number
-
+
4144522254414 = 234720639712093
BaseRepresentation
bin111100010011111000110…
…001101101100001001110
3112200012201212210220111120
4330103320301231201032
51020400440144120124
612451544531301410
7605301060621453
oct74237061554116
915605655726446
104144522254414
111358755846453
1256b2a014a866
13240a995567c9
1410484b3cb82a
1572c1dc13d79
hex3c4f8c6d84e

4144522254414 has 32 divisors (see below), whose sum is σ = 8465829212160. Its totient is φ = 1352046232032.

The previous prime is 4144522254337. The next prime is 4144522254421.

4144522254414 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5464152 + ... + 6176244.

It is an arithmetic number, because the mean of its divisors is an integer number (264557162880).

Almost surely, 24144522254414 is an apocalyptic number.

4144522254414 is an abundant number, since it is smaller than the sum of its proper divisors (4321306957746).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4144522254414 is a wasteful number, since it uses less digits than its factorization.

4144522254414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732784.

The product of its digits is 819200, while the sum is 42.

The spelling of 4144522254414 in words is "four trillion, one hundred forty-four billion, five hundred twenty-two million, two hundred fifty-four thousand, four hundred fourteen".

Divisors: 1 2 3 6 47 94 141 282 20639 41278 61917 123834 712093 970033 1424186 1940066 2136279 2910099 4272558 5820198 33468371 66936742 100405113 200810226 14696887427 29393774854 44090662281 88181324562 690753709069 1381507418138 2072261127207 4144522254414