Search a number
-
+
431011213464 = 2331317103788947
BaseRepresentation
bin1100100010110100100…
…01010011000010011000
31112012111220122020110110
412101122101103002120
524030202332312324
6530000454044320
743065600603036
oct6213221230230
91465456566413
10431011213464
11156877659037
126b6489496a0
133184b3685b0
1416c0aa37556
15b3291bb329
hex645a453098

431011213464 has 128 divisors (see below), whose sum is σ = 1240604951040. Its totient is φ = 123605747712.

The previous prime is 431011213463. The next prime is 431011213487. The reversal of 431011213464 is 464312110134.

It is a super-2 number, since 2×4310112134642 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431011213463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151839 + ... + 940785.

It is an arithmetic number, because the mean of its divisors is an integer number (9692226180).

Almost surely, 2431011213464 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 431011213464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620302475520).

431011213464 is an abundant number, since it is smaller than the sum of its proper divisors (809593737576).

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

431011213464 is a wasteful number, since it uses less digits than its factorization.

431011213464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789089 (or 789085 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 431011213464 its reverse (464312110134), we get a palindrome (895323323598).

The spelling of 431011213464 in words is "four hundred thirty-one billion, eleven million, two hundred thirteen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 103 104 136 156 204 206 221 309 312 408 412 442 618 663 824 884 1236 1326 1339 1751 1768 2472 2652 2678 3502 4017 5253 5304 5356 7004 8034 10506 10712 14008 16068 21012 22763 32136 42024 45526 68289 91052 136578 182104 273156 546312 788947 1577894 2366841 3155788 4733682 6311576 9467364 10256311 13412099 18934728 20512622 26824198 30768933 40236297 41025244 53648396 61537866 80472594 81261541 82050488 107296792 123075732 160945188 162523082 174357287 243784623 246151464 321890376 325046164 348714574 487569246 523071861 650092328 697429148 975138492 1046143722 1056400033 1381446197 1394858296 1950276984 2092287444 2112800066 2762892394 3169200099 4144338591 4184574888 4225600132 5525784788 6338400198 8288677182 8451200264 11051569576 12676800396 16577354364 17958800561 25353600792 33154708728 35917601122 53876401683 71835202244 107752803366 143670404488 215505606732 431011213464