Search a number
-
+
14451052043400 = 2335273440726677
BaseRepresentation
bin1101001001001010010111…
…0100101101110010001000
31220011111200122220211121120
43102102211310231302020
53343231223310342100
650422415513435240
73021024353433210
oct322224564556210
956144618824546
1014451052043400
11467172515a895
12175486410bb20
1380a96129169b
1437d612979240
151a0d896ed0a0
hexd24a5d2dc88

14451052043400 has 96 divisors (see below), whose sum is σ = 51198012968640. Its totient is φ = 3303097608960.

The previous prime is 14451052043359. The next prime is 14451052043401. The reversal of 14451052043400 is 434025015441.

It is a happy number.

It is a super-4 number, since 4×144510520434004 (a number of 54 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (14451052043401) 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, 1720359139 + ... + 1720367538.

It is an arithmetic number, because the mean of its divisors is an integer number (533312635090).

Almost surely, 214451052043400 is an apocalyptic number.

14451052043400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14451052043400 is an abundant number, since it is smaller than the sum of its proper divisors (36746960925240).

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

14451052043400 is a wasteful number, since it uses less digits than its factorization.

14451052043400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3440726703 (or 3440726694 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

Adding to 14451052043400 its reverse (434025015441), we get a palindrome (14885077058841).

The spelling of 14451052043400 in words is "fourteen trillion, four hundred fifty-one billion, fifty-two million, forty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 4200 3440726677 6881453354 10322180031 13762906708 17203633385 20644360062 24085086739 27525813416 34407266770 41288720124 48170173478 51610900155 68814533540 72255260217 82577440248 86018166925 96340346956 103221800310 120425433695 137629067080 144510520434 172036333850 192680693912 206443600620 240850867390 258054500775 289021040868 344072667700 361276301085 412887201240 481701734780 516109001550 578042081736 602127168475 688145335400 722552602170 963403469560 1032218003100 1204254336950 1445105204340 1806381505425 2064436006200 2408508673900 2890210408680 3612763010850 4817017347800 7225526021700 14451052043400