Search a number
-
+
13441453033041 = 3211899744935027
BaseRepresentation
bin1100001110011001010100…
…0010001000011001010001
31202120222201222021011101100
43003212111002020121101
53230211043434024131
644330530203055013
72555053510435215
oct303462502103121
952528658234340
1013441453033041
114312540901390
121611063511469
137666a6405577
143467d9750945
1518499a3d57e6
hexc3995088651

13441453033041 has 96 divisors (see below), whose sum is σ = 21688076592000. Its totient is φ = 7953782538240.

The previous prime is 13441453033037. The next prime is 13441453033069. The reversal of 13441453033041 is 14033035414431.

13441453033041 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 1 + 45 + 303 + 304 + 1 = 666.

It is not a de Polignac number, because 13441453033041 - 22 = 13441453033037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13441453032987 and 13441453033005.

It is not an unprimeable number, because it can be changed into a prime (13441453037041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 383727970 + ... + 383762996.

It is an arithmetic number, because the mean of its divisors is an integer number (225917464500).

Almost surely, 213441453033041 is an apocalyptic number.

13441453033041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13441453033041 is a deficient number, since it is larger than the sum of its proper divisors (8246623558959).

13441453033041 is a wasteful number, since it uses less digits than its factorization.

13441453033041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35679 (or 35676 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 13441453033041 its reverse (14033035414431), we get a palindrome (27474488447472).

The spelling of 13441453033041 in words is "thirteen trillion, four hundred forty-one billion, four hundred fifty-three million, thirty-three thousand, forty-one".

Divisors: 1 3 9 11 33 89 97 99 267 291 449 801 873 979 1067 1347 2937 3201 4041 4939 8633 8811 9603 14817 25899 35027 39961 43553 44451 77697 94963 105081 119883 130659 284889 315243 359649 385297 391977 439571 479083 854667 1155891 1318713 1437249 3117403 3397619 3467673 3876217 3956139 4311747 9352209 10192857 11628651 15727123 28056627 30578571 34291433 34885953 37373809 42638387 47181369 102874299 112121427 127915161 141544107 172998353 302388091 308622897 336364281 383745483 518995059 907164273 1399713947 1525530931 1556985177 2721492819 3326269001 4199141841 4576592793 9978807003 12597425523 13729778379 15396853417 16780840241 29936421009 46190560251 50342520723 135772252859 138571680753 151027562169 407316758577 1221950275731 1493494781449 4480484344347 13441453033041