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13440112004320 = 2552329125938081
BaseRepresentation
bin1100001110010100010100…
…0110100000110011100000
31202120212021111212211210221
43003211011012200303200
53230200322133114240
644330145140132424
72555005335043411
oct303450506406340
952525244784727
1013440112004320
114311a12930691
12161094a397114
13766521633751
1434670d5cd808
1518491c7dda4a
hexc39451a0ce0

13440112004320 has 96 divisors (see below), whose sum is σ = 34275308397120. Its totient is φ = 4964982865920.

The previous prime is 13440112004237. The next prime is 13440112004327. The reversal of 13440112004320 is 2340021104431.

It is a super-2 number, since 2×134401120043202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13440112004327) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 62862321 + ... + 63075760.

It is an arithmetic number, because the mean of its divisors is an integer number (357034462470).

Almost surely, 213440112004320 is an apocalyptic number.

13440112004320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13440112004320 is an abundant number, since it is smaller than the sum of its proper divisors (20835196392800).

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

13440112004320 is a wasteful number, since it uses less digits than its factorization.

13440112004320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125938148 (or 125938140 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 13440112004320 its reverse (2340021104431), we get a palindrome (15780133108751).

The spelling of 13440112004320 in words is "thirteen trillion, four hundred forty billion, one hundred twelve million, four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 29 32 40 46 58 80 92 115 116 145 160 184 230 232 290 368 460 464 580 667 736 920 928 1160 1334 1840 2320 2668 3335 3680 4640 5336 6670 10672 13340 21344 26680 53360 106720 125938081 251876162 503752324 629690405 1007504648 1259380810 2015009296 2518761620 2896575863 3652204349 4030018592 5037523240 5793151726 7304408698 10075046480 11586303452 14482879315 14608817396 18261021745 20150092960 23172606904 28965758630 29217634792 36522043490 46345213808 57931517260 58435269584 73044086980 84000700027 92690427616 115863034520 116870539168 146088173960 168001400054 231726069040 292176347920 336002800108 420003500135 463452138080 584352695840 672005600216 840007000270 1344011200432 1680014000540 2688022400864 3360028001080 6720056002160 13440112004320