Search a number
-
+
2144137133024 = 251911091321547
BaseRepresentation
bin11111001100111000100…
…010000011101111100000
321120222101121021212022022
4133030320202003233200
5240112143101224044
64321000352001012
7310623500630465
oct37147042035740
97528347255268
102144137133024
11757361572227
122a766b230168
13127264290173
1475ac372b66c
153ab920113ee
hex1f338883be0

2144137133024 has 48 divisors (see below), whose sum is σ = 4247273511936. Its totient is φ = 1065474825600.

The previous prime is 2144137133009. The next prime is 2144137133063. The reversal of 2144137133024 is 4203317314412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6507419 + ... + 6828965.

It is an arithmetic number, because the mean of its divisors is an integer number (88484864832).

Almost surely, 22144137133024 is an apocalyptic number.

It is an amenable number.

2144137133024 is a deficient number, since it is larger than the sum of its proper divisors (2103136378912).

2144137133024 is a wasteful number, since it uses less digits than its factorization.

2144137133024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322839 (or 322831 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

It can be divided in two parts, 214413 and 7133024, that added together give a palindrome (7347437).

The spelling of 2144137133024 in words is "two trillion, one hundred forty-four billion, one hundred thirty-seven million, one hundred thirty-three thousand, twenty-four".

Divisors: 1 2 4 8 16 32 191 382 764 1091 1528 2182 3056 4364 6112 8728 17456 34912 208381 321547 416762 643094 833524 1286188 1667048 2572376 3334096 5144752 6668192 10289504 61415477 122830954 245661908 350807777 491323816 701615554 982647632 1403231108 1965295264 2806462216 5612924432 11225848864 67004285407 134008570814 268017141628 536034283256 1072068566512 2144137133024