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142417177 = 7217289113
BaseRepresentation
bin10000111110100…
…01110100011001
3100220222112122021
420133101310121
5242424322202
622044254441
73346345300
oct1037216431
9326875567
10142417177
1173433151
123b841421
1323675626
1414cb3437
15c782a37
hex87d1d19

142417177 has 36 divisors (see below), whose sum is σ = 179539740. Its totient is φ = 112594944.

The previous prime is 142417159. The next prime is 142417189. The reversal of 142417177 is 771714241.

142417177 = 1792 + 1802 + ... + 7562.

142417177 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 5433561 + 136983616 = 2331^2 + 11704^2 .

It is not a de Polignac number, because 142417177 - 211 = 142415129 is a prime.

It is a super-3 number, since 3×1424171773 (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (142417157) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1260273 + ... + 1260385.

It is an arithmetic number, because the mean of its divisors is an integer number (4987215).

Almost surely, 2142417177 is an apocalyptic number.

142417177 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

142417177 is a deficient number, since it is larger than the sum of its proper divisors (37122563).

142417177 is a wasteful number, since it uses less digits than its factorization.

142417177 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 226 counting only the distinct ones).

The product of its digits is 10976, while the sum is 34.

The square root of 142417177 is about 11933.8668083736. The cubic root of 142417177 is about 522.2207501811.

The spelling of 142417177 in words is "one hundred forty-two million, four hundred seventeen thousand, one hundred seventy-seven".

Divisors: 1 7 17 49 89 113 119 289 623 791 833 1513 1921 2023 4361 5537 10057 10591 13447 14161 25721 32657 70399 74137 94129 170969 180047 228599 492793 1196783 1260329 1600193 2906473 8377481 20345311 142417177