Search a number
-
+
2144121524240 = 245148925916947
BaseRepresentation
bin11111001100110111100…
…110100001000000010000
321120222100111220212002012
4133030313212201000100
5240112130102233430
64320555033242052
7310623221151023
oct37146746410020
97528314825065
102144121524240
11757353781103
122a7665b63328
13127260c866b7
1475ac16271ba
153ab9097b695
hex1f3379a1010

2144121524240 has 80 divisors (see below), whose sum is σ = 4991074122240. Its totient is φ = 856618506240.

The previous prime is 2144121524221. The next prime is 2144121524323. The reversal of 2144121524240 is 424251214412.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×21441215242402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2144121524197 and 2144121524206.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 308636447 + ... + 308643393.

It is an arithmetic number, because the mean of its divisors is an integer number (62388426528).

Almost surely, 22144121524240 is an apocalyptic number.

2144121524240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2144121524240 is an abundant number, since it is smaller than the sum of its proper divisors (2846952598000).

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

2144121524240 is a wasteful number, since it uses less digits than its factorization.

2144121524240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11040 (or 11034 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 32.

Adding to 2144121524240 its reverse (424251214412), we get a palindrome (2568372738652).

The spelling of 2144121524240 in words is "two trillion, one hundred forty-four billion, one hundred twenty-one million, five hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1489 2591 2978 5182 5956 6947 7445 10364 11912 12955 13894 14890 20728 23824 25910 27788 29780 34735 41456 51820 55576 59560 69470 103640 111152 119120 138940 207280 277880 555760 3857999 7715998 10344083 15431996 17999677 19289995 20688166 30863992 35999354 38579990 41376332 51720415 61727984 71998708 77159980 82752664 89998385 103440830 143997416 154319960 165505328 179996770 206881660 287994832 308639920 359993540 413763320 719987080 827526640 1439974160 26801519053 53603038106 107206076212 134007595265 214412152424 268015190530 428824304848 536030381060 1072060762120 2144121524240