Search a number
-
+
1144407164 = 2219295397101
BaseRepresentation
bin100010000110110…
…0100010001111100
32221202101220111112
41010031210101330
54320432012124
6305320341152
740234205015
oct10415442174
92852356445
101144407164
11537a9604a
1227b3147b8
1315312b504
14abdbc00c
156a70890e
hex4436447c

1144407164 has 96 divisors (see below), whose sum is σ = 2267092800. Its totient is φ = 503193600.

The previous prime is 1144407163. The next prime is 1144407307. The reversal of 1144407164 is 4617044411.

It is a self number, because there is not a number n which added to its sum of digits gives 1144407164.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144407163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11330714 + ... + 11330814.

It is an arithmetic number, because the mean of its divisors is an integer number (23615550).

Almost surely, 21144407164 is an apocalyptic number.

It is an amenable number.

1144407164 is a deficient number, since it is larger than the sum of its proper divisors (1122685636).

1144407164 is a wasteful number, since it uses less digits than its factorization.

1144407164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 1144407164 is about 33829.0875431189. The cubic root of 1144407164 is about 1045.9883703908.

The spelling of 1144407164 in words is "one billion, one hundred forty-four million, four hundred seven thousand, one hundred sixty-four".

Divisors: 1 2 4 19 29 38 53 58 76 97 101 106 116 194 202 212 388 404 551 1007 1102 1537 1843 1919 2014 2204 2813 2929 3074 3686 3838 4028 5141 5353 5626 5858 6148 7372 7676 9797 10282 10706 11252 11716 19594 20564 21412 29203 39188 53447 55651 58406 97679 101707 106894 111302 116812 149089 155237 186143 195358 203414 213788 222604 284113 298178 310474 372286 390716 406828 519241 568226 596356 620948 744572 1038482 1136452 2076964 2832691 2949503 5398147 5665382 5899006 9865579 10796294 11330764 11798012 15057989 19731158 21592588 30115978 39462316 60231956 286101791 572203582 1144407164