Search a number
-
+
3141100011413 = 7132910126344809
BaseRepresentation
bin101101101101011000001…
…001100111111110010101
3102010021201122211112011202
4231231120021213332111
5402430433100331123
610403000150242245
7442636246364540
oct55553011477625
912107648745152
103141100011413
111001151082761
12428924056385
1319a287277b10
14ac05c667857
1556a91ceea28
hex2db58267f95

3141100011413 has 64 divisors (see below), whose sum is σ = 4054322764800. Its totient is φ = 2366722713600.

The previous prime is 3141100011409. The next prime is 3141100011443.

3141100011413 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3141100011413 - 22 = 3141100011409 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3141100011443) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70077353 + ... + 70122161.

It is an arithmetic number, because the mean of its divisors is an integer number (63348793200).

Almost surely, 23141100011413 is an apocalyptic number.

It is an amenable number.

3141100011413 is a deficient number, since it is larger than the sum of its proper divisors (913222753387).

3141100011413 is a wasteful number, since it uses less digits than its factorization.

3141100011413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45222.

The product of its (nonzero) digits is 144, while the sum is 20.

It can be divided in two parts, 31411000 and 11413, that added together give a palindrome (31422413).

The spelling of 3141100011413 in words is "three trillion, one hundred forty-one billion, one hundred million, eleven thousand, four hundred thirteen".

Divisors: 1 7 13 29 91 101 203 263 377 707 1313 1841 2639 2929 3419 7627 9191 20503 23933 26563 38077 44809 53389 99151 185941 266539 313663 345319 582517 694057 770327 1299461 2417233 4077619 4525709 5392289 9096227 10014251 11784767 16892993 31679963 58834217 70099757 82493369 118250951 131245561 153201971 341758243 411839519 918718927 1072413797 1190261467 1706192293 2392307701 4442857159 8331830269 11943346051 15473399071 31100000113 34517582543 108313793497 241623077801 448728573059 3141100011413