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13122414233240 = 23513148131703599
BaseRepresentation
bin1011111011110100110011…
…0101101100011010011000
31201110111020121110220011212
42332331030311230122120
53204444201020430430
643524204234242252
72523030441410564
oct276751465543230
951414217426155
1013122414233240
1141aa203808aa4
12157b265b86388
137425910a2a60
143351b1c546a4
1517b526575b95
hexbef4cd6c698

13122414233240 has 64 divisors (see below), whose sum is σ = 31798784304000. Its totient is φ = 4844869166592.

The previous prime is 13122414233237. The next prime is 13122414233287. The reversal of 13122414233240 is 4233241422131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13122414233197 and 13122414233206.

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, 6850961 + ... + 8554559.

It is an arithmetic number, because the mean of its divisors is an integer number (496856004750).

Almost surely, 213122414233240 is an apocalyptic number.

13122414233240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13122414233240 is an abundant number, since it is smaller than the sum of its proper divisors (18676370070760).

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

13122414233240 is a wasteful number, since it uses less digits than its factorization.

13122414233240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1718436 (or 1718432 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 13122414233240 its reverse (4233241422131), we get a palindrome (17355655655371).

The spelling of 13122414233240 in words is "thirteen trillion, one hundred twenty-two billion, four hundred fourteen million, two hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 14813 29626 59252 74065 118504 148130 192569 296260 385138 592520 770276 962845 1540552 1703599 1925690 3407198 3851380 6814396 7702760 8517995 13628792 17035990 22146787 34071980 44293574 68143960 88587148 110733935 177174296 221467870 442935740 885871480 25235411987 50470823974 100941647948 126177059935 201883295896 252354119870 328060355831 504708239740 656120711662 1009416479480 1312241423324 1640301779155 2624482846648 3280603558310 6561207116620 13122414233240