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14345355423462 = 23719727166314869
BaseRepresentation
bin1101000011000000100111…
…0100000110111011100110
31212210101212111002012220020
43100300021310012323212
53340013241442022322
650302055412220010
73010263165124260
oct320601164067346
955711774065806
1014345355423462
114630916176928
12173828660a606
138009b84c861b
1437846711cb30
1519d25030605c
hexd0c09d06ee6

14345355423462 has 128 divisors (see below), whose sum is σ = 34585726156800. Its totient is φ = 3875019958656.

The previous prime is 14345355423461. The next prime is 14345355423517. The reversal of 14345355423462 is 26432455354341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14345355423461) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 964775364 + ... + 964790232.

It is an arithmetic number, because the mean of its divisors is an integer number (270200985600).

Almost surely, 214345355423462 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14345355423462, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17292863078400).

14345355423462 is an abundant number, since it is smaller than the sum of its proper divisors (20240370733338).

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

14345355423462 is a wasteful number, since it uses less digits than its factorization.

14345355423462 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17290.

The product of its digits is 20736000, while the sum is 51.

The spelling of 14345355423462 in words is "fourteen trillion, three hundred forty-five billion, three hundred fifty-five million, four hundred twenty-three thousand, four hundred sixty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 399 727 798 1454 1663 2181 3326 4362 4989 5089 9978 10178 11641 13813 14869 15267 23282 27626 29738 30534 31597 34923 41439 44607 63194 69846 82878 89214 94791 96691 104083 189582 193382 208166 221179 282511 290073 312249 442358 565022 580146 624498 663537 847533 1209001 1327074 1695066 1977577 2418002 3627003 3955154 5932731 7254006 8463007 10809763 11865462 16926014 21619526 22971019 24727147 25389021 32429289 45942038 49454294 50778042 64858578 68913057 74181441 75668341 137826114 148362882 151336682 160797133 173090029 205385497 227005023 321594266 346180058 410770994 454010046 469815793 482391399 519270087 616156491 939631586 964782798 1038540174 1232312982 1409447379 1437698479 2818894758 2875396958 3288710551 4313095437 6577421102 8626190874 9866131653 17976635869 19732263306 35953271738 53929907607 107859815214 125836451083 251672902166 341556081511 377509353249 683112163022 755018706498 1024668244533 2049336489066 2390892570577 4781785141154 7172677711731 14345355423462