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135044331165 = 3451372433889
BaseRepresentation
bin111110111000101000…
…1001111011010011101
3110220120110201211010000
41331301101033122131
54203032322044130
6142012152404513
712520344606132
oct1756121173235
9426513654100
10135044331165
11522aa005867
122220a0a6739
13c971c85483
1467713ca589
1537a5b25260
hex1f7144f69d

135044331165 has 40 divisors (see below), whose sum is σ = 243846571320. Its totient is φ = 71497893888.

The previous prime is 135044331139. The next prime is 135044331173. The reversal of 135044331165 is 561133440531.

135044331165 is a `hidden beast` number, since 1 + 3 + 50 + 443 + 3 + 1 + 165 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 62406534969 + 72637796196 = 249813^2 + 269514^2 .

It is not a de Polignac number, because 135044331165 - 212 = 135044327069 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1161460 + ... + 1272429.

It is an arithmetic number, because the mean of its divisors is an integer number (6096164283).

Almost surely, 2135044331165 is an apocalyptic number.

135044331165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135044331165 is a deficient number, since it is larger than the sum of its proper divisors (108802240155).

135044331165 is a wasteful number, since it uses less digits than its factorization.

135044331165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2434043 (or 2434034 counting only the distinct ones).

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

Adding to 135044331165 its reverse (561133440531), we get a palindrome (696177771696).

The spelling of 135044331165 in words is "one hundred thirty-five billion, forty-four million, three hundred thirty-one thousand, one hundred sixty-five".

Divisors: 1 3 5 9 15 27 45 81 135 137 405 411 685 1233 2055 3699 6165 11097 18495 55485 2433889 7301667 12169445 21905001 36508335 65715003 109525005 197145009 328575015 333442793 985725045 1000328379 1667213965 3000985137 5001641895 9002955411 15004925685 27008866233 45014777055 135044331165