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14342213234000 = 2453171481328477
BaseRepresentation
bin1101000010110100111010…
…0001100110110101010000
31212210002202111111110021202
43100231032201212311100
53334440323041442000
650300415524210332
73010122262012121
oct320551641466520
955702674443252
1014342213234000
11462a553519433
12173774a2399a8
1380060751b312
14378249aa2048
1519d119526dd5
hexd0b4e866d50

14342213234000 has 160 divisors (see below), whose sum is σ = 36723208912416. Its totient is φ = 5398867353600.

The previous prime is 14342213233979. The next prime is 14342213234021. The reversal of 14342213234000 is 43231224341.

It is an interprime number because it is at equal distance from previous prime (14342213233979) and next prime (14342213234021).

It can be written as a sum of positive squares in 16 ways, for example, as 9933036395584 + 4409176838416 = 3151672^2 + 2099804^2 .

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, 503627762 + ... + 503656238.

Almost surely, 214342213234000 is an apocalyptic number.

14342213234000 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 14342213234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18361604456208).

14342213234000 is an abundant number, since it is smaller than the sum of its proper divisors (22380995678416).

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

14342213234000 is a wasteful number, since it uses less digits than its factorization.

14342213234000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43330 (or 43314 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 14342213234000 its reverse (43231224341), we get a palindrome (14385444458341).

The spelling of 14342213234000 in words is "fourteen trillion, three hundred forty-two billion, two hundred thirteen million, two hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 680 850 1000 1360 1700 2000 2125 3400 4250 6800 8500 14813 17000 28477 29626 34000 56954 59252 74065 113908 118504 142385 148130 227816 237008 251821 284770 296260 370325 455632 484109 503642 569540 592520 711925 740650 968218 1007284 1139080 1185040 1259105 1423850 1481300 1851625 1936436 2014568 2278160 2420545 2518210 2847700 2962600 3559625 3703250 3872872 4029136 4841090 5036420 5695400 5925200 6295525 7119250 7406500 7745744 9682180 10072840 11390800 12102725 12591050 14238500 14813000 19364360 20145680 24205450 25182100 28477000 29626000 31477625 38728720 48410900 50364200 56954000 60513625 62955250 96821800 100728400 121027250 125910500 193643600 242054500 251821000 421829801 484109000 503642000 843659602 968218000 1687319204 2109149005 3374638408 4218298010 6749276816 7171106617 8436596020 10545745025 14342213234 16873192040 21091490050 28684426468 33746384080 35855533085 42182980100 52728725125 57368852936 71711066170 84365960200 105457450250 114737705872 143422132340 168731920400 179277665425 210914900500 286844264680 358555330850 421829801000 573688529360 717110661700 843659602000 896388327125 1434221323400 1792776654250 2868442646800 3585553308500 7171106617000 14342213234000