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14423244124140 = 2233529921024529
BaseRepresentation
bin1101000111100010110001…
…0101111010111111101100
31220001211220200102011201000
43101320230111322333230
53342302300443433030
650401540305320300
73016021302141255
oct321705425727754
956054820364630
1014423244124140
114660955327535
12174b3a3336090
1380814c0b74a7
1437c135709b2c
151a02ad279860
hexd1e2c57afec

14423244124140 has 96 divisors (see below), whose sum is σ = 46419636312000. Its totient is φ = 3713570896896.

The previous prime is 14423244124129. The next prime is 14423244124199. The reversal of 14423244124140 is 4142144232441.

14423244124140 is a `hidden beast` number, since 1 + 4 + 4 + 232 + 4 + 4 + 1 + 2 + 414 + 0 = 666.

It is a super-4 number, since 4×144232441241404 (a number of 54 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14423244124095 and 14423244124104.

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, 460496605 + ... + 460527924.

It is an arithmetic number, because the mean of its divisors is an integer number (483537878250).

Almost surely, 214423244124140 is an apocalyptic number.

14423244124140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14423244124140 is an abundant number, since it is smaller than the sum of its proper divisors (31996392187860).

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

14423244124140 is a wasteful number, since it uses less digits than its factorization.

14423244124140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921024576 (or 921024568 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 14423244124140 its reverse (4142144232441), we get a palindrome (18565388356581).

The spelling of 14423244124140 in words is "fourteen trillion, four hundred twenty-three billion, two hundred forty-four million, one hundred twenty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 87 90 108 116 135 145 174 180 261 270 290 348 435 522 540 580 783 870 1044 1305 1566 1740 2610 3132 3915 5220 7830 15660 921024529 1842049058 2763073587 3684098116 4605122645 5526147174 8289220761 9210245290 11052294348 13815367935 16578441522 18420490580 24867662283 26709711341 27630735870 33156883044 41446103805 49735324566 53419422682 55261471740 80129134023 82892207610 99470649132 106838845364 124338311415 133548556705 160258268046 165784415220 240387402069 248676622830 267097113410 320516536092 400645670115 480774804138 497353245660 534194226820 721162206207 801291340230 961549608276 1201937010345 1442324412414 1602582680460 2403874020690 2884648824828 3605811031035 4807748041380 7211622062070 14423244124140