Search a number
-
+
13442431095 = 32513719910957
BaseRepresentation
bin11001000010011101…
…10011100001110111
31021200211022020211100
430201032303201313
5210012230243340
610101513541143
7654054531132
oct144116634167
937624266740
1013442431095
1157789a1495
122731a147b3
131362c4b552
14917417219
1553a1e7830
hex3213b3877

13442431095 has 48 divisors (see below), whose sum is σ = 23590382400. Its totient is φ = 7080556032.

The previous prime is 13442431081. The next prime is 13442431099. The reversal of 13442431095 is 59013424431.

13442431095 is a `hidden beast` number, since 134 + 4 + 2 + 431 + 0 + 95 = 666.

It is not a de Polignac number, because 13442431095 - 212 = 13442426999 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13442431099) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1221357 + ... + 1232313.

It is an arithmetic number, because the mean of its divisors is an integer number (491466300).

Almost surely, 213442431095 is an apocalyptic number.

13442431095 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13442431095 is a deficient number, since it is larger than the sum of its proper divisors (10147951305).

13442431095 is a wasteful number, since it uses less digits than its factorization.

13442431095 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11304 (or 11301 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 13442431095 in words is "thirteen billion, four hundred forty-two million, four hundred thirty-one thousand, ninety-five".

Divisors: 1 3 5 9 15 45 137 199 411 597 685 995 1233 1791 2055 2985 6165 8955 10957 27263 32871 54785 81789 98613 136315 164355 245367 408945 493065 1226835 1501109 2180443 4503327 6541329 7505545 10902215 13509981 19623987 22516635 32706645 67549905 98119935 298720691 896162073 1493603455 2688486219 4480810365 13442431095