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13123340522240 = 285136311249861
BaseRepresentation
bin1011111011111000010000…
…0011001101001100000000
31201110120122011110020210212
42332332010003031030000
53210003100133202430
643524440204013252
72523062416630604
oct276760403151400
951416564406725
1013123340522240
1141aa6396666a3
12157b484231228
137426aac72260
1433525cc95504
1517b57ca46b95
hexbef840cd300

13123340522240 has 144 divisors (see below), whose sum is σ = 33906216340416. Its totient is φ = 4837858099200.

The previous prime is 13123340522207. The next prime is 13123340522267. The reversal of 13123340522240 is 4222504332131.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 13123340522197 and 13123340522206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9874910 + ... + 11124770.

Almost surely, 213123340522240 is an apocalyptic number.

13123340522240 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 13123340522240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16953108170208).

13123340522240 is an abundant number, since it is smaller than the sum of its proper divisors (20782875818176).

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

13123340522240 is a wasteful number, since it uses less digits than its factorization.

13123340522240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250526 (or 1250512 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 13123340522240 its reverse (4222504332131), we get a palindrome (17345844854371).

The spelling of 13123340522240 in words is "thirteen trillion, one hundred twenty-three billion, three hundred forty million, five hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 520 631 640 832 1040 1262 1280 1664 2080 2524 3155 3328 4160 5048 6310 8203 8320 10096 12620 16406 16640 20192 25240 32812 40384 41015 50480 65624 80768 82030 100960 131248 161536 164060 201920 262496 328120 403840 524992 656240 807680 1049984 1249861 1312480 2099968 2499722 2624960 4999444 5249920 6249305 9998888 10499840 12498610 16248193 19997776 24997220 32496386 39995552 49994440 64992772 79991104 81240965 99988880 129985544 159982208 162481930 199977760 259971088 319964416 324963860 399955520 519942176 649927720 788662291 799911040 1039884352 1299855440 1577324582 1599822080 2079768704 2599710880 3154649164 3943311455 4159537408 5199421760 6309298328 7886622910 10252609783 10398843520 12618596656 15773245820 20505219566 20797687040 25237193312 31546491640 41010439132 50474386624 51263048915 63092983280 82020878264 100948773248 102526097830 126185966560 164041756528 201897546496 205052195660 252371933120 328083513056 410104391320 504743866240 656167026112 820208782640 1009487732480 1312334052224 1640417565280 2624668104448 3280835130560 6561670261120 13123340522240