Search a number
-
+
105415140415 = 51319106180449
BaseRepresentation
bin110001000101100111…
…0110110010000111111
3101002002120011222101211
41202023032312100333
53211342233443130
6120232124145251
710421166623614
oct1421316662077
9332076158354
10105415140415
114078510a262
121851b398227
139c2c681140
14516030850b
152b1e845a2a
hex188b3b643f

105415140415 has 32 divisors (see below), whose sum is σ = 143535672000. Its totient is φ = 73677496320.

The previous prime is 105415140409. The next prime is 105415140419. The reversal of 105415140415 is 514041514501.

It is not a de Polignac number, because 105415140415 - 213 = 105415132223 is a prime.

It is a super-2 number, since 2×1054151404152 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105415140419) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1270111 + ... + 1350559.

It is an arithmetic number, because the mean of its divisors is an integer number (4485489750).

Almost surely, 2105415140415 is an apocalyptic number.

105415140415 is a deficient number, since it is larger than the sum of its proper divisors (38120531585).

105415140415 is a wasteful number, since it uses less digits than its factorization.

105415140415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81547.

The product of its (nonzero) digits is 8000, while the sum is 31.

Adding to 105415140415 its reverse (514041514501), we get a palindrome (619456654916).

The spelling of 105415140415 in words is "one hundred five billion, four hundred fifteen million, one hundred forty thousand, four hundred fifteen".

Divisors: 1 5 13 19 65 95 247 1061 1235 5305 13793 20159 68965 80449 100795 262067 402245 1045837 1310335 1528531 5229185 7642655 19870903 85356389 99354515 426781945 1109633057 1621771391 5548165285 8108856955 21083028083 105415140415