Search a number
-
+
1316240145 = 335115983181
BaseRepresentation
bin100111001110100…
…0011101100010001
310101201201221001000
41032131003230101
510143424141040
6334335332213
744421566553
oct11635035421
93351657030
101316240145
11615a8a780
12308981069
1317c902c2c
14c6b4b4d3
157a84c130
hex4e743b11

1316240145 has 128 divisors (see below), whose sum is σ = 2641766400. Its totient is φ = 616377600.

The previous prime is 1316240141. The next prime is 1316240173. The reversal of 1316240145 is 5410426131.

It is a happy number.

1316240145 is a `hidden beast` number, since 1 + 31 + 624 + 0 + 1 + 4 + 5 = 666.

It is not a de Polignac number, because 1316240145 - 22 = 1316240141 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1316240141) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7271955 + ... + 7272135.

It is an arithmetic number, because the mean of its divisors is an integer number (20638800).

Almost surely, 21316240145 is an apocalyptic number.

1316240145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1316240145 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

1316240145 is a wasteful number, since it uses less digits than its factorization.

1316240145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1316240145 is about 36280.0240490549. The cubic root of 1316240145 is about 1095.9188009822.

Adding to 1316240145 its reverse (5410426131), we get a palindrome (6726666276).

The spelling of 1316240145 in words is "one billion, three hundred sixteen million, two hundred forty thousand, one hundred forty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 59 83 99 135 165 177 181 249 295 297 415 495 531 543 649 747 885 905 913 1245 1485 1593 1629 1947 1991 2241 2655 2715 2739 3245 3735 4565 4887 4897 5841 5973 7965 8145 8217 9735 9955 10679 11205 13695 14691 15023 17523 17919 24435 24485 24651 29205 29865 32037 41085 44073 45069 53395 53757 53867 73455 75115 87615 89595 96111 117469 123255 132219 135207 160185 161601 165253 220365 225345 268785 269335 288333 352407 405621 480555 484803 495759 587345 661095 676035 808005 826265 886357 1057221 1441665 1454409 1487277 1762035 2028105 2424015 2478795 2659071 3171663 4431785 4461831 5286105 7272045 7436385 7977213 9749927 13295355 15858315 22309155 23931639 29249781 39886065 48749635 87749343 119658195 146248905 263248029 438746715 1316240145