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3141413405 = 51333759131
BaseRepresentation
bin1011101100111110…
…0010101000011101
322002221010100001122
42323033202220131
522413200212110
61235415220325
7140563400444
oct27317425035
98087110048
103141413405
111372278429
127380776a5
133b0a98000
1421b2d7d5b
15135bc9255
hexbb3e2a1d

3141413405 has 64 divisors (see below), whose sum is σ = 4297708800. Its totient is φ = 2201921280.

The previous prime is 3141413381. The next prime is 3141413411. The reversal of 3141413405 is 5043141413.

It is a happy number.

It is not a de Polignac number, because 3141413405 - 224 = 3124636189 is a prime.

It is a super-4 number, since 4×31414134054 (a number of 39 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23980190 + ... + 23980320.

It is an arithmetic number, because the mean of its divisors is an integer number (67151700).

Almost surely, 23141413405 is an apocalyptic number.

It is an amenable number.

3141413405 is a deficient number, since it is larger than the sum of its proper divisors (1156295395).

3141413405 is a wasteful number, since it uses less digits than its factorization.

3141413405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 3141413405 is about 56048.3131325110. The cubic root of 3141413405 is about 1464.5640321548.

Adding to 3141413405 its reverse (5043141413), we get a palindrome (8184554818).

The spelling of 3141413405 in words is "three billion, one hundred forty-one million, four hundred thirteen thousand, four hundred five".

Divisors: 1 5 13 37 59 65 131 169 185 295 481 655 767 845 1703 2183 2197 2405 3835 4847 6253 7729 8515 9971 10915 10985 22139 24235 28379 31265 38645 49855 63011 81289 100477 110695 129623 141895 285973 287807 315055 368927 406445 502385 648115 819143 1306201 1429865 1439035 1844635 3717649 4095715 4796051 6531005 10648859 16980613 18588245 23980255 48329437 53244295 84903065 241647185 628282681 3141413405