Search a number
-
+
4141753434 = 2327133721847
BaseRepresentation
bin1111011011011110…
…0010010001011010
3101200122102212121100
43312313202101122
531440242102214
61522552052230
7204431215620
oct36667422132
911618385540
104141753434
111835a03725
12977094076
135100c3ba0
142b40d3510
15193926309
hexf6de245a

4141753434 has 144 divisors (see below), whose sum is σ = 11357394048. Its totient is φ = 1062232704.

The previous prime is 4141753403. The next prime is 4141753439. The reversal of 4141753434 is 4343571414.

It is not an unprimeable number, because it can be changed into a prime (4141753439) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2241499 + ... + 2243345.

It is an arithmetic number, because the mean of its divisors is an integer number (78870792).

Almost surely, 24141753434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4141753434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5678697024).

4141753434 is an abundant number, since it is smaller than the sum of its proper divisors (7215640614).

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

4141753434 is a wasteful number, since it uses less digits than its factorization.

4141753434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1949 (or 1909 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 4141753434 is about 64356.4560397789. The cubic root of 4141753434 is about 1605.9354328070.

The spelling of 4141753434 in words is "four billion, one hundred forty-one million, seven hundred fifty-three thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 37 39 42 63 74 78 91 111 117 126 182 222 234 259 273 333 481 518 546 666 777 819 962 1369 1443 1554 1638 1847 2331 2738 2886 3367 3694 4107 4329 4662 5541 6734 8214 8658 9583 10101 11082 12321 12929 16623 17797 19166 20202 24011 24642 25858 28749 30303 33246 35594 38787 48022 53391 57498 60606 68339 72033 77574 86247 106782 116361 124579 136678 144066 160173 168077 172494 205017 216099 232722 249158 320346 336154 373737 410034 432198 478373 504231 615051 747474 888407 956746 1008462 1121211 1230102 1435119 1512693 1776814 2242422 2528543 2665221 2870238 3025386 4305357 5057086 5330442 6218849 7585629 7995663 8610714 12437698 15171258 15991326 17699801 18656547 22756887 32871059 35399602 37313094 45513774 53099403 55969641 65742118 98613177 106198806 111939282 159298209 197226354 230097413 295839531 318596418 460194826 591679062 690292239 1380584478 2070876717 4141753434