Search a number
-
+
12368413440 = 283251073647
BaseRepresentation
bin10111000010011011…
…10000001100000000
31011220222100111120200
423201031300030000
5200312303212230
65403150005200
7615333531255
oct134115601400
934828314520
1012368413440
115277713099
1224921a6800
131221596c46
1485491d42c
154c5c95160
hex2e1370300

12368413440 has 108 divisors (see below), whose sum is σ = 42793461984. Its totient is φ = 3298240512.

The previous prime is 12368413429. The next prime is 12368413441. The reversal of 12368413440 is 4431486321.

12368413440 is a `hidden beast` number, since 1 + 236 + 8 + 413 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12368413395 and 12368413404.

It is not an unprimeable number, because it can be changed into a prime (12368413441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 525304 + ... + 548343.

Almost surely, 212368413440 is an apocalyptic number.

12368413440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12368413440 is an abundant number, since it is smaller than the sum of its proper divisors (30425048544).

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

12368413440 is a wasteful number, since it uses less digits than its factorization.

12368413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073674 (or 1073657 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 12368413440 its reverse (4431486321), we get a palindrome (16799899761).

The spelling of 12368413440 in words is "twelve billion, three hundred sixty-eight million, four hundred thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 5760 11520 1073647 2147294 3220941 4294588 5368235 6441882 8589176 9662823 10736470 12883764 16104705 17178352 19325646 21472940 25767528 32209410 34356704 38651292 42945880 48314115 51535056 64418820 68713408 77302584 85891760 96628230 103070112 128837640 137426816 154605168 171783520 193256460 206140224 257675280 274853632 309210336 343567040 386512920 412280448 515350560 618420672 687134080 773025840 824560896 1030701120 1236841344 1374268160 1546051680 2061402240 2473682688 3092103360 4122804480 6184206720 12368413440