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4365135141003 = 337134341316553
BaseRepresentation
bin111111100001010110010…
…101000101100010001011
3120110022011202212201121000
4333201112111011202023
51033004244044003003
613141152043150043
7630241055332650
oct77412625054213
916408152781530
104365135141003
111433274a9640a
125a5baab15323
1325882720b8a0
141113b8d33c27
1578831b1a1a3
hex3f85654588b

4365135141003 has 64 divisors (see below), whose sum is σ = 8144319124480. Its totient is φ = 2248942558464.

The previous prime is 4365135140999. The next prime is 4365135141011. The reversal of 4365135141003 is 3001415315634.

4365135141003 is a `hidden beast` number, since 4 + 36 + 5 + 1 + 3 + 514 + 100 + 3 = 666.

4365135141003 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4365135141003 - 22 = 4365135140999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4365135141013) 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, 20552626 + ... + 20763927.

It is an arithmetic number, because the mean of its divisors is an integer number (127254986320).

Almost surely, 24365135141003 is an apocalyptic number.

4365135141003 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

4365135141003 is a deficient number, since it is larger than the sum of its proper divisors (3779183983477).

4365135141003 is a wasteful number, since it uses less digits than its factorization.

4365135141003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41316625 (or 41316619 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 4365135141003 in words is "four trillion, three hundred sixty-five billion, one hundred thirty-five million, one hundred forty-one thousand, three".

Divisors: 1 3 7 9 13 21 27 39 43 63 91 117 129 189 273 301 351 387 559 819 903 1161 1677 2457 2709 3913 5031 8127 11739 15093 35217 105651 41316553 123949659 289215871 371848977 537115189 867647613 1115546931 1611345567 1776611779 2602942839 3759806323 4834036701 5329835337 7808828517 11279418969 12436282453 14502110103 15989506011 23095953127 33838256907 37308847359 47968518033 69287859381 101514770721 111926542077 161671671889 207863578143 335779626231 485015015667 623590734429 1455045047001 4365135141003