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14501440000 = 295445317
BaseRepresentation
bin11011000000101101…
…00110101000000000
31101102122000110221101
431200112212220000
5214144332040000
610354544104144
71022234130505
oct154026465000
941378013841
1014501440000
116171759563
122988605054
1314a1479538
149b7d254ac
1559d182e6a
hex3605a6a00

14501440000 has 100 divisors (see below), whose sum is σ = 36207405234. Its totient is φ = 5800448000.

The previous prime is 14501439973. The next prime is 14501440003. The reversal of 14501440000 is 4410541.

It can be written as a sum of positive squares in 5 ways, for example, as 28387584 + 14473052416 = 5328^2 + 120304^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a self number, because there is not a number n which added to its sum of digits gives 14501440000.

It is not an unprimeable number, because it can be changed into a prime (14501440003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 297342 + ... + 342658.

Almost surely, 214501440000 is an apocalyptic number.

14501440000 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 14501440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18103702617).

14501440000 is an abundant number, since it is smaller than the sum of its proper divisors (21705965234).

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

14501440000 is an frugal number, since it uses more digits than its factorization.

14501440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45355 (or 45324 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

Adding to 14501440000 its reverse (4410541), we get a palindrome (14505850541).

The spelling of 14501440000 in words is "fourteen billion, five hundred one million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1250 1280 1600 2000 2500 2560 3200 4000 5000 6400 8000 10000 12800 16000 20000 32000 40000 45317 64000 80000 90634 160000 181268 226585 320000 362536 453170 725072 906340 1132925 1450144 1812680 2265850 2900288 3625360 4531700 5664625 5800576 7250720 9063400 11329250 11601152 14501440 18126800 22658500 23202304 28323125 29002880 36253600 45317000 56646250 58005760 72507200 90634000 113292500 116011520 145014400 181268000 226585000 290028800 362536000 453170000 580057600 725072000 906340000 1450144000 1812680000 2900288000 3625360000 7250720000 14501440000