Search a number
-
+
13240133440 = 265438311593
BaseRepresentation
bin11000101010010110…
…00110011101000000
31021011201122110121121
430111023012131000
5204103433232230
610025450002024
7646050164062
oct142513063500
937151573547
1013240133440
11568478a246
122696116314
13133006b4b1
148d85d7732
1552758777a
hex3152c6740

13240133440 has 112 divisors (see below), whose sum is σ = 32652785088. Its totient is φ = 5110124544.

The previous prime is 13240133429. The next prime is 13240133479. The reversal of 13240133440 is 4433104231.

It is a super-2 number, since 2×132401334402 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 1136284 + ... + 1147876.

It is an arithmetic number, because the mean of its divisors is an integer number (291542724).

Almost surely, 213240133440 is an apocalyptic number.

13240133440 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 13240133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16326392544).

13240133440 is an abundant number, since it is smaller than the sum of its proper divisors (19412651648).

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

13240133440 is a wasteful number, since it uses less digits than its factorization.

13240133440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11736 (or 11726 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 13240133440 its reverse (4433104231), we get a palindrome (17673237671).

The spelling of 13240133440 in words is "thirteen billion, two hundred forty million, one hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 83 86 160 166 172 215 320 332 344 415 430 664 688 830 860 1328 1376 1660 1720 2656 2752 3320 3440 3569 5312 6640 6880 7138 11593 13280 13760 14276 17845 23186 26560 28552 35690 46372 57104 57965 71380 92744 114208 115930 142760 185488 228416 231860 285520 370976 463720 498499 571040 741952 927440 962219 996998 1142080 1854880 1924438 1993996 2492495 3709760 3848876 3987992 4811095 4984990 7697752 7975984 9622190 9969980 15395504 15951968 19244380 19939960 30791008 31903936 38488760 39879920 41375417 61582016 76977520 79759840 82750834 153955040 159519680 165501668 206877085 307910080 331003336 413754170 662006672 827508340 1324013344 1655016680 2648026688 3310033360 6620066720 13240133440