Search a number
-
+
10434212444112 = 2433471146754631
BaseRepresentation
bin1001011111010110011110…
…0001101011011111010000
31100221111112012112212011220
42113311213201223133100
52331423231341202422
634105224440405040
72124563340254322
oct227654741533720
940844465485156
1010434212444112
1133631409a6016
121206278776780
135a8c327a3822
14281038d91612
151316401a1e5c
hex97d6786b7d0

10434212444112 has 80 divisors (see below), whose sum is σ = 27035581373952. Its totient is φ = 3467681642880.

The previous prime is 10434212444063. The next prime is 10434212444119. The reversal of 10434212444112 is 21144421243401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10434212444119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190967037 + ... + 191021667.

Almost surely, 210434212444112 is an apocalyptic number.

10434212444112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10434212444112 is an abundant number, since it is smaller than the sum of its proper divisors (16601368929840).

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

10434212444112 is a wasteful number, since it uses less digits than its factorization.

10434212444112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66456 (or 66450 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

Adding to 10434212444112 its reverse (21144421243401), we get a palindrome (31578633687513).

The spelling of 10434212444112 in words is "ten trillion, four hundred thirty-four billion, two hundred twelve million, four hundred forty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 347 694 1041 1388 2082 2776 4164 5552 8328 11467 16656 22934 34401 45868 54631 68802 91736 109262 137604 163893 183472 218524 275208 327786 437048 550416 655572 874096 1311144 2622288 3979049 7958098 11937147 15916196 18956957 23874294 31832392 37913914 47748588 56870871 63664784 75827828 95497176 113741742 151655656 190994352 227483484 303311312 454966968 626453677 909933936 1252907354 1879361031 2505814708 3758722062 5011629416 7517444124 10023258832 15034888248 30069776496 217379425919 434758851838 652138277757 869517703676 1304276555514 1739035407352 2608553111028 3478070814704 5217106222056 10434212444112