Search a number
-
+
10043433132444 = 22325341912562897
BaseRepresentation
bin1001001000100110101101…
…0000111010000110011100
31022120010212010022222200100
42102021223100322012130
52304022422340214234
633205520043501100
72054420431025505
oct222115320720634
938503763288610
1010043433132444
11322243a1982a8
121162599527790
1357b1265645aa
1426a16764dbac
151263bd029399
hex9226b43a19c

10043433132444 has 72 divisors (see below), whose sum is σ = 25928313924240. Its totient is φ = 3276805289472.

The previous prime is 10043433132413. The next prime is 10043433132487. The reversal of 10043433132444 is 44423133434001.

10043433132444 is a `hidden beast` number, since 1 + 0 + 0 + 43 + 43 + 3 + 132 + 444 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10043433132399 and 10043433132408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5481997 + ... + 7080900.

It is an arithmetic number, because the mean of its divisors is an integer number (360115471170).

Almost surely, 210043433132444 is an apocalyptic number.

It is an amenable number.

10043433132444 is an abundant number, since it is smaller than the sum of its proper divisors (15884880791796).

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

10043433132444 is a wasteful number, since it uses less digits than its factorization.

10043433132444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12563379 (or 12563374 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 10043433132444 its reverse (44423133434001), we get a palindrome (54466566566445).

The spelling of 10043433132444 in words is "ten trillion, forty-three billion, four hundred thirty-three million, one hundred thirty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 419 477 636 838 954 1257 1676 1908 2514 3771 5028 7542 15084 22207 44414 66621 88828 133242 199863 266484 399726 799452 12562897 25125794 37688691 50251588 75377382 113066073 150754764 226132146 452264292 665833541 1331667082 1997500623 2663334164 3995001246 5263853843 5992501869 7990002492 10527707686 11985003738 15791561529 21055415372 23970007476 31583123058 47374684587 63166246116 94749369174 189498738348 278984253679 557968507358 836952761037 1115937014716 1673905522074 2510858283111 3347811044148 5021716566222 10043433132444