Search a number
-
+
1314994104 = 2332195931621
BaseRepresentation
bin100111001100001…
…0011011110111000
310101122101121210100
41032120103132320
510143114302404
6334252515400
744405160024
oct11630233670
93348347710
101314994104
11615309596
1230847bb60
1317c587a28
14c6905384
157a6a2d39
hex4e6137b8

1314994104 has 96 divisors (see below), whose sum is σ = 3757525200. Its totient is φ = 414305280.

The previous prime is 1314994103. The next prime is 1314994129. The reversal of 1314994104 is 4014994131.

1314994104 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314994103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 810414 + ... + 812034.

Almost surely, 21314994104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1314994104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1878762600).

1314994104 is an abundant number, since it is smaller than the sum of its proper divisors (2442531096).

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

1314994104 is a wasteful number, since it uses less digits than its factorization.

1314994104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2245 (or 2238 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1314994104 is about 36262.8474337027. The cubic root of 1314994104 is about 1095.5728684407.

The spelling of 1314994104 in words is "one billion, three hundred fourteen million, nine hundred ninety-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 593 684 1186 1368 1621 1779 2372 3242 3558 4744 4863 5337 6484 7116 9726 10674 11267 12968 14232 14589 19452 21348 22534 29178 30799 33801 38904 42696 45068 58356 61598 67602 90136 92397 101403 116712 123196 135204 184794 202806 246392 270408 277191 369588 405612 554382 739176 811224 961253 1108764 1922506 2217528 2883759 3845012 5767518 7690024 8651277 11535036 17302554 18263807 23070072 34605108 36527614 54791421 69210216 73055228 109582842 146110456 164374263 219165684 328748526 438331368 657497052 1314994104