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13144312014030 = 233548682637089
BaseRepresentation
bin1011111101000110011000…
…0011000110010011001110
31201112120202201000102021000
42333101212003012103032
53210324022333422110
643542225155521130
72524434206442231
oct277214603062316
951476681012230
1013144312014030
11420852050789a
1215835575b91a6
137446709b50b2
1433628c1c7418
1517bda8c121c0
hexbf4660c64ce

13144312014030 has 32 divisors (see below), whose sum is σ = 35051498704800. Its totient is φ = 3505149870336.

The previous prime is 13144312014007. The next prime is 13144312014059. The reversal of 13144312014030 is 3041021344131.

13144312014030 is a `hidden beast` number, since 1 + 3 + 14 + 43 + 1 + 201 + 403 + 0 = 666.

13144312014030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13144312013985 and 13144312014003.

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, 24341318275 + ... + 24341318814.

It is an arithmetic number, because the mean of its divisors is an integer number (1095359334525).

Almost surely, 213144312014030 is an apocalyptic number.

13144312014030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13144312014030 is an abundant number, since it is smaller than the sum of its proper divisors (21907186690770).

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

13144312014030 is a wasteful number, since it uses less digits than its factorization.

13144312014030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48682637105 (or 48682637099 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 13144312014030 its reverse (3041021344131), we get a palindrome (16185333358161).

The spelling of 13144312014030 in words is "thirteen trillion, one hundred forty-four billion, three hundred twelve million, fourteen thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 48682637089 97365274178 146047911267 243413185445 292095822534 438143733801 486826370890 730239556335 876287467602 1314431201403 1460479112670 2190718669005 2628862402806 4381437338010 6572156007015 13144312014030