Search a number
-
+
13916394401 = 7213229167347
BaseRepresentation
bin11001111010111101…
…10101001110100001
31022220212011002020212
430331132311032201
5212000044110101
610220524343505
71001601254300
oct147536651641
938825132225
1013916394401
1159a14950a8
1228446a4b95
13140a1b8600
14960352437
15566b1b1bb
hex33d7b53a1

13916394401 has 72 divisors (see below), whose sum is σ = 18295139520. Its totient is φ = 10536978816.

The previous prime is 13916394353. The next prime is 13916394403. The reversal of 13916394401 is 10449361931.

It is not a de Polignac number, because 13916394401 - 214 = 13916378017 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13916394403) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40104710 + ... + 40105056.

It is an arithmetic number, because the mean of its divisors is an integer number (254099160).

Almost surely, 213916394401 is an apocalyptic number.

It is an amenable number.

13916394401 is a deficient number, since it is larger than the sum of its proper divisors (4378745119).

13916394401 is a wasteful number, since it uses less digits than its factorization.

13916394401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 41.

The spelling of 13916394401 in words is "thirteen billion, nine hundred sixteen million, three hundred ninety-four thousand, four hundred one".

Divisors: 1 7 13 29 49 91 167 169 203 347 377 637 1169 1183 1421 2171 2429 2639 4511 4843 4901 8183 8281 10063 15197 17003 18473 28223 31577 33901 34307 57949 58643 62959 70441 106379 130819 197561 221039 237307 240149 405643 410501 440713 493087 753337 818467 915733 1382927 1680521 1700647 2839501 2873507 3084991 5273359 5729269 6410131 9793381 11763647 11904529 21846773 36913513 40104883 68553667 82345529 83331703 152927411 284008049 479875669 1070491877 1988056343 13916394401