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13242341340 = 22325292579871
BaseRepresentation
bin11000101010100111…
…00001011111011100
31021011212210122021200
430111103201133130
5204110014410330
610030005155500
7646105021104
oct142523413734
937155718250
1013242341340
115685a58058
1226969bbb90
131330662447
148d8a10204
15527871a60
hex3154e17dc

13242341340 has 144 divisors (see below), whose sum is σ = 41719466880. Its totient is φ = 3395911680.

The previous prime is 13242341309. The next prime is 13242341353. The reversal of 13242341340 is 4314324231.

13242341340 is a `hidden beast` number, since 1 + 3 + 242 + 3 + 413 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1336605 + ... + 1346475.

It is an arithmetic number, because the mean of its divisors is an integer number (289718520).

Almost surely, 213242341340 is an apocalyptic number.

13242341340 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 13242341340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20859733440).

13242341340 is an abundant number, since it is smaller than the sum of its proper divisors (28477125540).

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

13242341340 is a wasteful number, since it uses less digits than its factorization.

13242341340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10172 (or 10167 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 13242341340 its reverse (4314324231), we get a palindrome (17556665571).

The spelling of 13242341340 in words is "thirteen billion, two hundred forty-two million, three hundred forty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 257 261 290 348 435 514 522 580 771 870 1028 1044 1285 1305 1542 1740 2313 2570 2610 3084 3855 4626 5140 5220 7453 7710 9252 9871 11565 14906 15420 19742 22359 23130 29613 29812 37265 39484 44718 46260 49355 59226 67077 74530 88839 89436 98710 111795 118452 134154 148065 149060 177678 197420 223590 268308 286259 296130 335385 355356 444195 447180 572518 592260 670770 858777 888390 1145036 1341540 1431295 1717554 1776780 2536847 2576331 2862590 3435108 4293885 5073694 5152662 5725180 7610541 8587770 10147388 10305324 12684235 12881655 15221082 17175540 22831623 25368470 25763310 30442164 38052705 45663246 50736940 51526620 73568563 76105410 91326492 114158115 147137126 152210820 220705689 228316230 294274252 367842815 441411378 456632460 662117067 735685630 882822756 1103528445 1324234134 1471371260 2207056890 2648468268 3310585335 4414113780 6621170670 13242341340