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142348761 = 32412972
BaseRepresentation
bin10000111110000…
…01000111011001
3100220212001210100
420133001013121
5242420130021
622043010013
73345641652
oct1037010731
9326761710
10142348761
1173396805
123b809909
1323650449
1414c96529
15c76c626
hex87c11d9

142348761 has 27 divisors (see below), whose sum is σ = 212947293. Its totient is φ = 91630080.

The previous prime is 142348753. The next prime is 142348763. The reversal of 142348761 is 167843241.

The square root of 142348761 is 11931.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 47403225 + 94945536 = 6885^2 + 9744^2 .

It is not a de Polignac number, because 142348761 - 23 = 142348753 is a prime.

It is not an unprimeable number, because it can be changed into a prime (142348763) 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 26 ways as a sum of consecutive naturals, for example, 1467465 + ... + 1467561.

Almost surely, 2142348761 is an apocalyptic number.

142348761 is the 11931-st square number.

142348761 is the 5966-th centered octagonal number.

It is an amenable number.

142348761 is a deficient number, since it is larger than the sum of its proper divisors (70598532).

142348761 is an frugal number, since it uses more digits than its factorization.

142348761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 141 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The cubic root of 142348761 is about 522.1371133186.

Multiplying 142348761 by its sum of digits (36), we get a square (5124555396 = 715862).

The spelling of 142348761 in words is "one hundred forty-two million, three hundred forty-eight thousand, seven hundred sixty-one".

Divisors: 1 3 9 41 97 123 291 369 873 1681 3977 5043 9409 11931 15129 28227 35793 84681 163057 385769 489171 1157307 1467513 3471921 15816529 47449587 142348761