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4332140145405 = 335292394629913
BaseRepresentation
bin111111000010100111101…
…011001010101011111101
3120100011000021222021122000
4333002213223022223331
51031434210334123110
613114054022012513
7624662320443342
oct77024753125375
916304007867560
104332140145405
11142028319a906
1259b720b77139
132556994c5057
1410d968c267c9
1577a500da1c0
hex3f0a7acaafd

4332140145405 has 64 divisors (see below), whose sum is σ = 8000491392000. Its totient is φ = 2221468816896.

The previous prime is 4332140145391. The next prime is 4332140145409. The reversal of 4332140145405 is 5045410412334.

4332140145405 is a `hidden beast` number, since 4 + 33 + 214 + 0 + 1 + 4 + 5 + 405 = 666.

It is not a de Polignac number, because 4332140145405 - 220 = 4332139096829 is a prime.

It is a super-2 number, since 2×43321401454052 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4332140145405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4332140145409) 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, 1379272 + ... + 3250641.

It is an arithmetic number, because the mean of its divisors is an integer number (125007678000).

Almost surely, 24332140145405 is an apocalyptic number.

4332140145405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4332140145405 is a deficient number, since it is larger than the sum of its proper divisors (3668351246595).

4332140145405 is a wasteful number, since it uses less digits than its factorization.

4332140145405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4630195 (or 4630189 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 4332140145405 its reverse (5045410412334), we get a palindrome (9377550557739).

The spelling of 4332140145405 in words is "four trillion, three hundred thirty-two billion, one hundred forty million, one hundred forty-five thousand, four hundred five".

Divisors: 1 3 5 9 15 27 29 45 87 135 145 239 261 435 717 783 1195 1305 2151 3585 3915 6453 6931 10755 20793 32265 34655 62379 103965 187137 311895 935685 4629913 13889739 23149565 41669217 69448695 125007651 134267477 208346085 402802431 625038255 671337385 1106549207 1208407293 2014012155 3319647621 3625221879 5532746035 6042036465 9958942863 16598238105 18126109395 29876828589 32089927003 49794714315 96269781009 149384142945 160449635015 288809343027 481348905045 866428029081 1444046715135 4332140145405