Search a number
-
+
14044144412000 = 255325311387213
BaseRepresentation
bin1100110001011110100000…
…1111010010010101100000
31211201121101120102102201202
43030113220033102111200
53320044401432141000
645511442455020332
72646440663562143
oct314275017222540
954647346372652
1014044144412000
1145250a743280a
1216a9a2366a6a8
137ab48481b4b1
14367a5122205a
151954c1683dd5
hexcc5e83d2560

14044144412000 has 96 divisors (see below), whose sum is σ = 34520121234144. Its totient is φ = 5615434176000.

The previous prime is 14044144411993. The next prime is 14044144412003. The reversal of 14044144412000 is 21444144041.

It is a happy number.

It is a super-2 number, since 2×140441444120002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14044144412003) 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, 9430394 + ... + 10817606.

It is an arithmetic number, because the mean of its divisors is an integer number (359584596189).

Almost surely, 214044144412000 is an apocalyptic number.

14044144412000 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 14044144412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17260060617072).

14044144412000 is an abundant number, since it is smaller than the sum of its proper divisors (20475976822144).

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

14044144412000 is a wasteful number, since it uses less digits than its factorization.

14044144412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1389769 (or 1389751 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 29.

Adding to 14044144412000 its reverse (21444144041), we get a palindrome (14065588556041).

The spelling of 14044144412000 in words is "fourteen trillion, forty-four billion, one hundred forty-four million, four hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 2531 4000 5062 10124 12655 20248 25310 40496 50620 63275 80992 101240 126550 202480 253100 316375 404960 506200 632750 1012400 1265500 1387213 2024800 2531000 2774426 5062000 5548852 6936065 10124000 11097704 13872130 22195408 27744260 34680325 44390816 55488520 69360650 110977040 138721300 173401625 221954080 277442600 346803250 554885200 693606500 1109770400 1387213000 2774426000 3511036103 5548852000 7022072206 14044144412 17555180515 28088288824 35110361030 56176577648 70220722060 87775902575 112353155296 140441444120 175551805150 280882888240 351103610300 438879512875 561765776480 702207220600 877759025750 1404414441200 1755518051500 2808828882400 3511036103000 7022072206000 14044144412000