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431889545444 = 2272531072831373
BaseRepresentation
bin1100100100011101001…
…11110111100011100100
31112021210010101010102112
412102032213313203210
524034002210423234
6530223551500152
743126424364500
oct6221647674344
91467703333375
10431889545444
11157188430935
126b852b27658
133195b316566
1416c91553300
15b37b367ace
hex648e9f78e4

431889545444 has 144 divisors (see below), whose sum is σ = 908020145088. Its totient is φ = 179139647232.

The previous prime is 431889545411. The next prime is 431889545533. The reversal of 431889545444 is 444545988134.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 314558342 + ... + 314559714.

It is an arithmetic number, because the mean of its divisors is an integer number (6305695452).

Almost surely, 2431889545444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431889545444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454010072544).

431889545444 is an abundant number, since it is smaller than the sum of its proper divisors (476130599644).

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

431889545444 is a wasteful number, since it uses less digits than its factorization.

431889545444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1834 (or 1825 counting only the distinct ones).

The product of its digits is 44236800, while the sum is 59.

The spelling of 431889545444 in words is "four hundred thirty-one billion, eight hundred eighty-nine million, five hundred forty-five thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 49 53 98 106 107 196 212 214 283 371 428 566 742 749 1132 1373 1484 1498 1981 2597 2746 2996 3962 5194 5243 5492 5671 7924 9611 10388 10486 11342 13867 14999 19222 20972 22684 27734 29998 30281 38444 39697 55468 59996 60562 67277 72769 79394 104993 121124 134554 145538 146911 158788 209986 211967 269108 277879 291076 293822 388559 419972 423934 509383 555758 587644 734951 777118 847868 1018766 1028377 1111516 1469902 1483769 1554236 1604893 2037532 2056754 2719913 2939804 2967538 3209786 3565681 4113508 5439826 5935076 6419572 7131362 7198639 7786283 10879652 11234251 14262724 14397278 15572566 19039391 20593627 22468502 28794556 31145132 38078782 41187254 41575813 44937004 54503981 76157564 78639757 82374508 83151626 109007962 144155389 157279514 166303252 218015924 288310778 291030691 314559028 381527867 576621556 582061382 763055734 1009087723 1164122764 1526111468 2018175446 2037214837 2203518089 4036350892 4074429674 4407036178 8148859348 8814072356 15424626623 30849253246 61698506492 107972386361 215944772722 431889545444