Search a number
-
+
13444133112410 = 25711135297253553
BaseRepresentation
bin1100001110100011010011…
…0001110100101001011010
31202121020122202022022010012
43003220310301310221122
53230232041034044120
644332052142321522
72555210102642540
oct303506461645132
952536582268105
1013444133112410
114313696721710
121611690b892a2
13766a12735a50
143469b1679d90
15184aa58331c5
hexc3a34c74a5a

13444133112410 has 128 divisors (see below), whose sum is σ = 32497817393664. Its totient is φ = 3867296808960.

The previous prime is 13444133112161. The next prime is 13444133112433. The reversal of 13444133112410 is 1421133144431.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52896194 + ... + 53149746.

It is an arithmetic number, because the mean of its divisors is an integer number (253889198388).

Almost surely, 213444133112410 is an apocalyptic number.

13444133112410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13444133112410 is an abundant number, since it is smaller than the sum of its proper divisors (19053684281254).

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

13444133112410 is a wasteful number, since it uses less digits than its factorization.

13444133112410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258888.

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 13444133112410 its reverse (1421133144431), we get a palindrome (14865266256841).

The spelling of 13444133112410 in words is "thirteen trillion, four hundred forty-four billion, one hundred thirty-three million, one hundred twelve thousand, four hundred ten".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 91 110 130 143 154 182 286 385 455 715 770 910 1001 1430 2002 5005 5297 10010 10594 26485 37079 52970 58267 68861 74158 116534 137722 185395 253553 291335 344305 370790 407869 482027 507106 582670 688610 757471 815738 964054 1267765 1514942 1774871 2039345 2410135 2535530 2789083 3296189 3549742 3787355 4078690 4820270 5302297 5578166 6592378 7574710 8874355 10604594 13945415 16480945 17748710 19523581 23073323 26511485 27890830 32961890 36258079 39047162 46146646 53022970 72516158 97617905 115366615 181290395 195235810 230733230 253806553 362580790 507613106 1269032765 1343070241 2538065530 2686140482 6715351205 9401491687 13430702410 14773772651 17459913133 18802983374 29547545302 34919826266 47007458435 73868863255 87299565665 94014916870 103416408557 122219391931 147737726510 174599131330 192059044463 206832817114 244438783862 384118088926 517082042785 611096959655 960295222315 1034164085570 1222193919310 1344413311241 1920590444630 2688826622482 6722066556205 13444133112410