Search a number
-
+
13140133240 = 23513192814733
BaseRepresentation
bin11000011110011011…
…01000010101111000
31020220202110221010111
430033031220111320
5203402333230430
610011514354104
7643424201233
oct141715502570
936822427114
1013140133240
115633298653
12266872b934
131315427890
148c920641a
1551d8d2c2a
hex30f368578

13140133240 has 128 divisors (see below), whose sum is σ = 33641697600. Its totient is φ = 4579061760.

The previous prime is 13140133231. The next prime is 13140133261. The reversal of 13140133240 is 4233104131.

13140133240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2773914 + ... + 2778646.

Almost surely, 213140133240 is an apocalyptic number.

13140133240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13140133240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16820848800).

13140133240 is an abundant number, since it is smaller than the sum of its proper divisors (20501564360).

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

13140133240 is a wasteful number, since it uses less digits than its factorization.

13140133240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5057 (or 5053 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 13140133240 its reverse (4233104131), we get a palindrome (17373237371).

The spelling of 13140133240 in words is "thirteen billion, one hundred forty million, one hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 19 20 26 38 40 52 65 76 95 104 130 152 190 247 260 281 380 494 520 562 760 988 1124 1235 1405 1976 2248 2470 2810 3653 4733 4940 5339 5620 7306 9466 9880 10678 11240 14612 18265 18932 21356 23665 26695 29224 36530 37864 42712 47330 53390 61529 69407 73060 89927 94660 106780 123058 138814 146120 179854 189320 213560 246116 277628 307645 347035 359708 449635 492232 555256 615290 694070 719416 899270 1169051 1230580 1329973 1388140 1798540 2338102 2461160 2659946 2776280 3597080 4676204 5319892 5845255 6649865 9352408 10639784 11690510 13299730 17289649 23381020 25269487 26599460 34579298 46762040 50538974 53198920 69158596 86448245 101077948 126347435 138317192 172896490 202155896 252694870 328503331 345792980 505389740 657006662 691585960 1010779480 1314013324 1642516655 2628026648 3285033310 6570066620 13140133240