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13341342432320 = 2657171572722277
BaseRepresentation
bin1100001000100100010111…
…1110011111110001000000
31202020102100002111201110122
43002021011332133301000
53222041032130313240
644212532245315412
72544610621403510
oct302110576376100
952212302451418
1013341342432320
114284038aa4331
1215b5784705b68
1375a110a10216
14341a1db3d840
1518208b6004b5
hexc2245f9fc40

13341342432320 has 224 divisors, whose sum is σ = 38447416599552. Its totient is φ = 4304638476288.

The previous prime is 13341342432289. The next prime is 13341342432323. The reversal of 13341342432320 is 2323424314331.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×133413424323203 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (13341342432323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 598873022 + ... + 598895298.

Almost surely, 213341342432320 is an apocalyptic number.

13341342432320 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 13341342432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19223708299776).

13341342432320 is an abundant number, since it is smaller than the sum of its proper divisors (25106074167232).

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

13341342432320 is a wasteful number, since it uses less digits than its factorization.

13341342432320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38045 (or 38035 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 35.

Adding to 13341342432320 its reverse (2323424314331), we get a palindrome (15664766746651).

The spelling of 13341342432320 in words is "thirteen trillion, three hundred forty-one billion, three hundred forty-two million, four hundred thirty-two thousand, three hundred twenty".