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14342142440120 = 23511231417207751
BaseRepresentation
bin1101000010110100101001…
…0011100011001010111000
31212210002120120021202100012
43100231022103203022320
53334440201431040440
650300404515001052
73010120442201015
oct320551223431270
955702516252305
1014342142440120
11462a5175659a0
12173772a599188
138005c5962351
1437824051470c
1519d1131e0e65
hexd0b4a4e32b8

14342142440120 has 64 divisors (see below), whose sum is σ = 36734024931840. Its totient is φ = 4988571280000.

The previous prime is 14342142440113. The next prime is 14342142440221. The reversal of 14342142440120 is 2104424124341.

It is a super-2 number, since 2×143421424401202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 708593756 + ... + 708613995.

It is an arithmetic number, because the mean of its divisors is an integer number (573969139560).

Almost surely, 214342142440120 is an apocalyptic number.

14342142440120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14342142440120 is an abundant number, since it is smaller than the sum of its proper divisors (22391882491720).

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

14342142440120 is a wasteful number, since it uses less digits than its factorization.

14342142440120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417207796 (or 1417207792 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 14342142440120 its reverse (2104424124341), we get a palindrome (16446566564461).

The spelling of 14342142440120 in words is "fourteen trillion, three hundred forty-two billion, one hundred forty-two million, four hundred forty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 440 460 506 920 1012 1265 2024 2530 5060 10120 1417207751 2834415502 5668831004 7086038755 11337662008 14172077510 15589285261 28344155020 31178570522 32595778273 56688310040 62357141044 65191556546 77946426305 124714282088 130383113092 155892852610 162978891365 260766226184 311785705220 325957782730 358553561003 623571410440 651915565460 717107122006 1303831130920 1434214244012 1792767805015 2868428488024 3585535610030 7171071220060 14342142440120