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142540461 = 32721719013
BaseRepresentation
bin10000111111011…
…11111010101101
3100221012210202100
420133233322231
5242442243321
622051045313
73350400600
oct1037577255
9327183670
10142540461
1173507838
123b8a0839
13236b978b
1414d06337
15c7a9326
hex87efead

142540461 has 36 divisors (see below), whose sum is σ = 253608732. Its totient is φ = 76656384.

The previous prime is 142540441. The next prime is 142540471. The reversal of 142540461 is 164045241.

It can be written as a sum of positive squares in 2 ways, for example, as 38378025 + 104162436 = 6195^2 + 10206^2 .

It is not a de Polignac number, because 142540461 - 218 = 142278317 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142540441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2010 + ... + 17003.

It is an arithmetic number, because the mean of its divisors is an integer number (7044687).

Almost surely, 2142540461 is an apocalyptic number.

It is an amenable number.

142540461 is a deficient number, since it is larger than the sum of its proper divisors (111068271).

142540461 is a wasteful number, since it uses less digits than its factorization.

142540461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19050 (or 19040 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 142540461 is about 11939.0309908300. The cubic root of 142540461 is about 522.3713942160.

The spelling of 142540461 in words is "one hundred forty-two million, five hundred forty thousand, four hundred sixty-one".

Divisors: 1 3 7 9 17 21 49 51 63 119 147 153 357 441 833 1071 2499 7497 19013 57039 133091 171117 323221 399273 931637 969663 1197819 2262547 2794911 2908989 6787641 8384733 15837829 20362923 47513487 142540461