Search a number
-
+
11234131143400 = 23521143118754029
BaseRepresentation
bin1010001101111010011001…
…1001010110101011101000
31110202222020220201002120001
42203132212121112223220
52433030000033042100
635520515534312344
72236432146105124
oct243364631265350
943688226632501
1011234131143400
113641406180340
1213152bb9586b4
136364b2955a69
142aba405d2584
1514735b284d6a
hexa37a6656ae8

11234131143400 has 96 divisors (see below), whose sum is σ = 29156489445600. Its totient is φ = 3990135340800.

The previous prime is 11234131143377. The next prime is 11234131143419. The reversal of 11234131143400 is 434113143211.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59282415 + ... + 59471614.

It is an arithmetic number, because the mean of its divisors is an integer number (303713431725).

Almost surely, 211234131143400 is an apocalyptic number.

11234131143400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11234131143400 is an abundant number, since it is smaller than the sum of its proper divisors (17922358302200).

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

11234131143400 is a wasteful number, since it uses less digits than its factorization.

11234131143400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118754099 (or 118754090 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 11234131143400 its reverse (434113143211), we get a palindrome (11668244286611).

The spelling of 11234131143400 in words is "eleven trillion, two hundred thirty-four billion, one hundred thirty-one million, one hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 43 44 50 55 86 88 100 110 172 200 215 220 275 344 430 440 473 550 860 946 1075 1100 1720 1892 2150 2200 2365 3784 4300 4730 8600 9460 11825 18920 23650 47300 94600 118754029 237508058 475016116 593770145 950032232 1187540290 1306294319 2375080580 2612588638 2968850725 4750161160 5106423247 5225177276 5937701450 6531471595 10212846494 10450354552 11875402900 13062943190 20425692988 23750805800 25532116235 26125886380 32657357975 40851385976 51064232470 52251772760 56170655717 65314715950 102128464940 112341311434 127660581175 130629431900 204256929880 224682622868 255321162350 261258863800 280853278585 449365245736 510642324700 561706557170 1021284649400 1123413114340 1404266392925 2246826228680 2808532785850 5617065571700 11234131143400