Search a number
-
+
4424013511305 = 352329716227891
BaseRepresentation
bin100000001100000101111…
…0000001111101010001001
3120122221011002220211122120
41000120023300033222021
51034440334424330210
613224210323041453
7634424115250143
oct100301360175211
916587132824576
104424013511305
111456239325483
125b54a1210289
1326124b483c5b
141141a2857c93
157a12ab63270
hex4060bc0fa89

4424013511305 has 64 divisors (see below), whose sum is σ = 7748494110720. Its totient is φ = 2148372934400.

The previous prime is 4424013511297. The next prime is 4424013511319. The reversal of 4424013511305 is 5031153104244.

It is not a de Polignac number, because 4424013511305 - 23 = 4424013511297 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2403591 + ... + 3824300.

It is an arithmetic number, because the mean of its divisors is an integer number (121070220480).

Almost surely, 24424013511305 is an apocalyptic number.

It is an amenable number.

4424013511305 is a deficient number, since it is larger than the sum of its proper divisors (3324480599415).

4424013511305 is a wasteful number, since it uses less digits than its factorization.

4424013511305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6228022.

The product of its (nonzero) digits is 28800, while the sum is 33.

Adding to 4424013511305 its reverse (5031153104244), we get a palindrome (9455166615549).

The spelling of 4424013511305 in words is "four trillion, four hundred twenty-four billion, thirteen million, five hundred eleven thousand, three hundred five".

Divisors: 1 3 5 15 23 29 69 71 87 115 145 213 345 355 435 667 1065 1633 2001 2059 3335 4899 6177 8165 10005 10295 24495 30885 47357 142071 236785 710355 6227891 18683673 31139455 93418365 143241493 180608839 429724479 442180261 541826517 716207465 903044195 1326540783 2148622395 2210901305 2709132585 4154003297 6632703915 10170146003 12462009891 12823227569 20770016485 30510438009 38469682707 50850730015 62310049455 64116137845 152552190045 192348413535 294934234087 884802702261 1474671170435 4424013511305