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14434104023000 = 235364182327361
BaseRepresentation
bin1101001000001011001110…
…1001001001011111011000
31220002212221112020012022022
43102002303221021133120
53342442021112214000
650410534050514012
73016554360563054
oct322026351113730
956085845205268
1014434104023000
114665518474262
121751514295908
1380918cc9a74c
1437c885b4ac64
151a06e6892585
hexd20b3a497d8

14434104023000 has 128 divisors (see below), whose sum is σ = 33870837536640. Its totient is φ = 5757419520000.

The previous prime is 14434104022979. The next prime is 14434104023011. The reversal of 14434104023000 is 32040143441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 527529320 + ... + 527556680.

It is an arithmetic number, because the mean of its divisors is an integer number (264615918255).

Almost surely, 214434104023000 is an apocalyptic number.

14434104023000 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 14434104023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16935418768320).

14434104023000 is an abundant number, since it is smaller than the sum of its proper divisors (19436733513640).

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

14434104023000 is a wasteful number, since it uses less digits than its factorization.

14434104023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28846 (or 28832 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 14434104023000 its reverse (32040143441), we get a palindrome (14466144166441).

The spelling of 14434104023000 in words is "fourteen trillion, four hundred thirty-four billion, one hundred four million, twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 641 823 1000 1282 1646 2564 3205 3292 4115 5128 6410 6584 8230 12820 16025 16460 20575 25640 27361 32050 32920 41150 54722 64100 80125 82300 102875 109444 128200 136805 160250 164600 205750 218888 273610 320500 411500 527543 547220 641000 684025 823000 1055086 1094440 1368050 2110172 2637715 2736100 3420125 4220344 5275430 5472200 6840250 10550860 13188575 13680500 17538401 21101720 22518103 26377150 27361000 35076802 45036206 52754300 65942875 70153604 87692005 90072412 105508600 112590515 131885750 140307208 175384010 180144824 225181030 263771500 350768020 438460025 450362060 527543000 562952575 701536040 876920050 900724120 1125905150 1753840100 2192300125 2251810300 2814762875 3507680200 4384600250 4503620600 5629525750 8769200500 11259051500 14434104023 17538401000 22518103000 28868208046 57736416092 72170520115 115472832184 144341040230 288682080460 360852600575 577364160920 721705201150 1443410402300 1804263002875 2886820804600 3608526005750 7217052011500 14434104023000