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34041465135 = 3355334713711
BaseRepresentation
bin11111101101000001…
…111000100100101111
310020212102000121022000
4133231001320210233
51024204103341020
623345522423343
72313402452016
oct375501704457
9106772017260
1034041465135
1113489579667
126720501b53
1332967741a2
14190d0b3a7d
15d43840090
hex7ed07892f

34041465135 has 64 divisors (see below), whose sum is σ = 61842216960. Its totient is φ = 17760263040.

The previous prime is 34041465079. The next prime is 34041465137. The reversal of 34041465135 is 53156414043.

It is not a de Polignac number, because 34041465135 - 215 = 34041432367 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34041465135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34041465137) 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, 2475930 + ... + 2489640.

It is an arithmetic number, because the mean of its divisors is an integer number (966284640).

Almost surely, 234041465135 is an apocalyptic number.

34041465135 is a deficient number, since it is larger than the sum of its proper divisors (27800751825).

34041465135 is a wasteful number, since it uses less digits than its factorization.

34041465135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14125 (or 14119 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 34041465135 its reverse (53156414043), we get a palindrome (87197879178).

The spelling of 34041465135 in words is "thirty-four billion, forty-one million, four hundred sixty-five thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 27 45 53 135 159 265 347 477 795 1041 1431 1735 2385 3123 5205 7155 9369 13711 15615 18391 41133 46845 55173 68555 91955 123399 165519 205665 275865 370197 496557 616995 726683 827595 1850985 2180049 2482785 3633415 4757717 6540147 10900245 14273151 19620441 23788585 32700735 42819453 71365755 98102205 128458359 214097265 252159001 642291795 756477003 1260795005 2269431009 3782385015 6808293027 11347155045 34041465135