Search a number
-
+
6391314138 = 231121012863
BaseRepresentation
bin1011111001111001…
…11011011011011010
3121111102101101202110
411330330323123122
5101042134023023
62534112013150
7314245162626
oct57474733332
917442341673
106391314138
11278a803a00
1212a45311b6
137ab1889b1
14448b92186
15276182a93
hex17cf3b6da

6391314138 has 72 divisors (see below), whose sum is σ = 14207260032. Its totient is φ = 1915364000.

The previous prime is 6391314133. The next prime is 6391314173. The reversal of 6391314138 is 8314131936.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 6391314096 and 6391314105.

It is not an unprimeable number, because it can be changed into a prime (6391314133) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7405495 + ... + 7406357.

It is an arithmetic number, because the mean of its divisors is an integer number (197323056).

Almost surely, 26391314138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6391314138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7103630016).

6391314138 is an abundant number, since it is smaller than the sum of its proper divisors (7815945894).

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

6391314138 is a wasteful number, since it uses less digits than its factorization.

6391314138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 980 counting only the distinct ones).

The product of its digits is 46656, while the sum is 39.

The square root of 6391314138 is about 79945.6949309968. The cubic root of 6391314138 is about 1855.7952323529.

The spelling of 6391314138 in words is "six billion, three hundred ninety-one million, three hundred fourteen thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 11 22 33 66 101 121 202 242 303 363 606 726 863 1111 1726 2222 2589 3333 5178 6666 9493 10201 12221 18986 20402 24442 28479 30603 36663 56958 61206 73326 87163 104423 112211 174326 208846 224422 261489 313269 336633 522978 626538 673266 958793 1234321 1917586 2468642 2876379 3702963 5752758 7405926 8803463 10546723 17606926 21093446 26410389 31640169 52820778 63280338 96838093 193676186 290514279 581028558 1065219023 2130438046 3195657069 6391314138