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340311400003141 = 72115325792335607
BaseRepresentation
bin100110101100000101110110…
…0000111000011011001000101
31122121221110012120220210022021
41031120023230013003121011
5324101130221400100031
63203440522055203141
7131452454511066100
oct11530135407033105
91577843176823267
10340311400003141
1199485288446996
12322027673764b1
13117b72c5568668
1460072340c9737
15295243198d511
hex13582ec1c3645

340311400003141 has 24 divisors (see below), whose sum is σ = 396369587401920. Its totient is φ = 291329366694912.

The previous prime is 340311400003123. The next prime is 340311400003277. The reversal of 340311400003141 is 141300004113043.

It is a happy number.

It is not a de Polignac number, because 340311400003141 - 245 = 305127027914309 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340311400000141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144537960 + ... + 146873566.

It is an arithmetic number, because the mean of its divisors is an integer number (16515399475080).

Almost surely, 2340311400003141 is an apocalyptic number.

It is an amenable number.

340311400003141 is a deficient number, since it is larger than the sum of its proper divisors (56058187398779).

340311400003141 is a wasteful number, since it uses less digits than its factorization.

340311400003141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2339353 (or 2339346 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 340311400003141 its reverse (141300004113043), we get a palindrome (481611404116184).

The spelling of 340311400003141 in words is "three hundred forty trillion, three hundred eleven billion, four hundred million, three thousand, one hundred forty-one".

Divisors: 1 7 49 1153 2579 8071 18053 56497 126371 2335607 2973587 16349249 20815109 114444743 145705763 2692954871 6023530453 18850684097 42164713171 131954788679 295152992197 6945130612309 48615914286163 340311400003141