Search a number
-
+
14345274664 = 2371919369857
BaseRepresentation
bin11010101110000101…
…11000010100101000
31101000202011110101001
431113002320110220
5213334342242124
610331245004344
71015326552130
oct152702702450
941022143331
1014345274664
1160a15961a6
1229442536b4
131477ccc306
149a12b3ac0
1558e5d6b44
hex3570b8528

14345274664 has 64 divisors (see below), whose sum is σ = 32525884800. Its totient is φ = 5794136064.

The previous prime is 14345274649. The next prime is 14345274667. The reversal of 14345274664 is 46647254341.

It is not an unprimeable number, because it can be changed into a prime (14345274667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170424 + ... + 240280.

It is an arithmetic number, because the mean of its divisors is an integer number (508216950).

Almost surely, 214345274664 is an apocalyptic number.

14345274664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14345274664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16262942400).

14345274664 is an abundant number, since it is smaller than the sum of its proper divisors (18180610136).

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

14345274664 is a wasteful number, since it uses less digits than its factorization.

14345274664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70082 (or 70078 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 46.

The spelling of 14345274664 in words is "fourteen billion, three hundred forty-five million, two hundred seventy-four thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 193 266 386 532 772 1064 1351 1544 2702 3667 5404 7334 10808 14668 25669 29336 51338 69857 102676 139714 205352 279428 488999 558856 977998 1327283 1955996 2654566 3911992 5309132 9290981 10618264 13482401 18581962 26964802 37163924 53929604 74327848 94376807 107859208 188753614 256165619 377507228 512331238 755014456 1024662476 1793159333 2049324952 3586318666 7172637332 14345274664