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3540042135 = 325757719477
BaseRepresentation
bin1101001100000000…
…1100000110010111
3100010201012202212200
43103000030012113
524222222322020
61343135215543
7153503601360
oct32300140627
910121182780
103540042135
111557297063
128296775b3
134455493b6
14258222b67
1515abbb590
hexd300c197

3540042135 has 48 divisors (see below), whose sum is σ = 7025169216. Its totient is φ = 1615417344.

The previous prime is 3540042113. The next prime is 3540042137. The reversal of 3540042135 is 5312400453.

It is not a de Polignac number, because 3540042135 - 210 = 3540041111 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3540042099 and 3540042108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3540042137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172017 + ... + 191493.

It is an arithmetic number, because the mean of its divisors is an integer number (146357692).

Almost surely, 23540042135 is an apocalyptic number.

3540042135 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3540042135 is a deficient number, since it is larger than the sum of its proper divisors (3485127081).

3540042135 is a wasteful number, since it uses less digits than its factorization.

3540042135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20072 (or 20069 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 3540042135 is about 59498.2532096531. The cubic root of 3540042135 is about 1524.0626162608.

Adding to 3540042135 its reverse (5312400453), we get a palindrome (8852442588).

The spelling of 3540042135 in words is "three billion, five hundred forty million, forty-two thousand, one hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 577 1731 2885 4039 5193 8655 12117 19477 20195 25965 36351 58431 60585 97385 136339 175293 181755 292155 409017 681695 876465 1227051 2045085 6135255 11238229 33714687 56191145 78667603 101144061 168573435 236002809 393338015 505720305 708008427 1180014045 3540042135