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142605141 = 37237157167
BaseRepresentation
bin10000111111111…
…11101101010101
3100221100002110220
420133333231111
5243001331031
622052304553
73351060300
oct1037775525
9327302426
10142605141
1173551398
123b912159
1323710053
1414d21b37
15c7bd596
hex87ffb55

142605141 has 48 divisors (see below), whose sum is σ = 229977216. Its totient is φ = 78309504.

The previous prime is 142605121. The next prime is 142605143. The reversal of 142605141 is 141506241.

It is a happy number.

It is not a de Polignac number, because 142605141 - 26 = 142605077 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 (142605143) 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 47 ways as a sum of consecutive naturals, for example, 853840 + ... + 854006.

It is an arithmetic number, because the mean of its divisors is an integer number (4791192).

Almost surely, 2142605141 is an apocalyptic number.

It is an amenable number.

142605141 is a deficient number, since it is larger than the sum of its proper divisors (87372075).

142605141 is a wasteful number, since it uses less digits than its factorization.

142605141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 142605141 is about 11941.7394461611. The cubic root of 142605141 is about 522.4503937094.

The spelling of 142605141 in words is "one hundred forty-two million, six hundred five thousand, one hundred forty-one".

Divisors: 1 3 7 21 37 49 111 147 157 167 259 471 501 777 1099 1169 1813 3297 3507 5439 5809 6179 7693 8183 17427 18537 23079 24549 26219 40663 43253 78657 121989 129759 183533 284641 302771 550599 853923 908313 970103 1284731 2910309 3854193 6790721 20372163 47535047 142605141