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14434616980 = 2257264322907
BaseRepresentation
bin11010111000101111…
…01100011010010100
31101020222021111222201
431130113230122110
5214030230220410
610344155534244
71020463135300
oct153427543224
941228244881
1014434616980
116137a68423
12296a15a384
131490680aa4
149ad0ccd00
1559738383a
hex35c5ec694

14434616980 has 72 divisors (see below), whose sum is σ = 35318088288. Its totient is φ = 4941099072.

The previous prime is 14434616969. The next prime is 14434616983. The reversal of 14434616980 is 8961643441.

It is a self number, because there is not a number n which added to its sum of digits gives 14434616980.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14434616983) 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, 618687 + ... + 641593.

It is an arithmetic number, because the mean of its divisors is an integer number (490529004).

Almost surely, 214434616980 is an apocalyptic number.

14434616980 is a gapful number since it is divisible by the number (10) 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 14434616980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17659044144).

14434616980 is an abundant number, since it is smaller than the sum of its proper divisors (20883471308).

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

14434616980 is a wasteful number, since it uses less digits than its factorization.

14434616980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23573 (or 23564 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The spelling of 14434616980 in words is "fourteen billion, four hundred thirty-four million, six hundred sixteen thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 643 980 1286 2572 3215 4501 6430 9002 12860 18004 22505 22907 31507 45010 45814 63014 90020 91628 114535 126028 157535 160349 229070 315070 320698 458140 630140 641396 801745 1122443 1603490 2244886 3206980 4489772 5612215 11224430 14729201 22448860 29458402 58916804 73646005 103104407 147292010 206208814 294584020 412417628 515522035 721730849 1031044070 1443461698 2062088140 2886923396 3608654245 7217308490 14434616980