Search a number
-
+
14115214494 = 23319235871019
BaseRepresentation
bin11010010010101010…
…10001010010011110
31100102201021012011000
431021111101102132
5212401443330434
610252350011130
71006534225563
oct151125212236
940381235130
1014115214494
115a93741627
12289b1a6aa6
13143c44b834
1497c90886a
155792e0b99
hex34955149e

14115214494 has 128 divisors (see below), whose sum is σ = 34546176000. Its totient is φ = 4252194144.

The previous prime is 14115214483. The next prime is 14115214537. The reversal of 14115214494 is 49441251141.

14115214494 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 521 + 44 + 94 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13851517 + ... + 13852535.

It is an arithmetic number, because the mean of its divisors is an integer number (269892000).

Almost surely, 214115214494 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14115214494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17273088000).

14115214494 is an abundant number, since it is smaller than the sum of its proper divisors (20430961506).

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

14115214494 is a wasteful number, since it uses less digits than its factorization.

14115214494 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1659 (or 1653 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The spelling of 14115214494 in words is "fourteen billion, one hundred fifteen million, two hundred fourteen thousand, four hundred ninety-four".

Divisors: 1 2 3 6 9 18 19 23 27 38 46 54 57 69 114 138 171 207 342 414 437 513 587 621 874 1019 1026 1174 1242 1311 1761 2038 2622 3057 3522 3933 5283 6114 7866 9171 10566 11153 11799 13501 15849 18342 19361 22306 23437 23598 27002 27513 31698 33459 38722 40503 46874 55026 58083 66918 70311 81006 100377 116166 121509 140622 174249 200754 210933 243018 256519 301131 348498 364527 421866 445303 513038 522747 598153 602262 632799 729054 769557 890606 1045494 1196306 1265598 1335909 1539114 1794459 2308671 2671818 3588918 4007727 4617342 5383377 6926013 8015454 10766754 11364907 12023181 13757519 13852026 16150131 22729814 24046362 27515038 32300262 34094721 41272557 68189442 82545114 102284163 123817671 204568326 247635342 261392861 306852489 371453013 522785722 613704978 742906026 784178583 1568357166 2352535749 4705071498 7057607247 14115214494