Search a number
-
+
11714220103716 = 22321378733179269
BaseRepresentation
bin1010101001110110110111…
…1011011001100000100100
31112110212110010210012011100
42222131231323121200210
53013411210321304331
640525234411040100
72316216202663224
oct252355573314044
945425403705140
1011714220103716
113806a7794aa39
121392364740030
1366c852975840
142c6d8528a084
15154aa8d70ae6
hexaa76ded9824

11714220103716 has 72 divisors (see below), whose sum is σ = 31892770702520. Its totient is φ = 3603916468224.

The previous prime is 11714220103711. The next prime is 11714220103721. The reversal of 11714220103716 is 61730102241711.

11714220103716 is a `hidden beast` number, since 11 + 71 + 4 + 2 + 201 + 0 + 371 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (11714220103711) and next prime (11714220103721).

It can be written as a sum of positive squares in 4 ways, for example, as 76229001216 + 11637991102500 = 276096^2 + 3411450^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11714220103711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2094930 + ... + 5274198.

Almost surely, 211714220103716 is an apocalyptic number.

It is an amenable number.

11714220103716 is an abundant number, since it is smaller than the sum of its proper divisors (20178550598804).

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

11714220103716 is a wasteful number, since it uses less digits than its factorization.

11714220103716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3187165 (or 3187160 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 11714220103716 in words is "eleven trillion, seven hundred fourteen billion, two hundred twenty million, one hundred three thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 7873 15746 23619 31492 47238 70857 94476 102349 141714 204698 283428 307047 409396 614094 921141 1228188 1842282 3179269 3684564 6358538 9537807 12717076 19075614 28613421 38151228 41330497 57226842 82660994 114453684 123991491 165321988 247982982 371974473 495965964 743948946 1487897892 25030384837 50060769674 75091154511 100121539348 150182309022 225273463533 300364618044 325395002881 450546927066 650790005762 901093854132 976185008643 1301580011524 1952370017286 2928555025929 3904740034572 5857110051858 11714220103716