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142349337 = 32138811381
BaseRepresentation
bin10000111110000…
…01010000011001
3100220212002120200
420133001100121
5242420134322
622043012413
73345643434
oct1037012031
9326762520
10142349337
1173397189
123b80a109
13236507a0
1414c9681b
15c76c8ac
hex87c1419

142349337 has 24 divisors (see below), whose sum is σ = 221844168. Its totient is φ = 87436800.

The previous prime is 142349329. The next prime is 142349341. The reversal of 142349337 is 733943241.

It can be written as a sum of positive squares in 4 ways, for example, as 576 + 142348761 = 24^2 + 11931^2 .

It is not a de Polignac number, because 142349337 - 23 = 142349329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (142349327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102387 + ... + 103767.

It is an arithmetic number, because the mean of its divisors is an integer number (9243507).

Almost surely, 2142349337 is an apocalyptic number.

It is an amenable number.

142349337 is a deficient number, since it is larger than the sum of its proper divisors (79494831).

142349337 is a wasteful number, since it uses less digits than its factorization.

142349337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2281 (or 2278 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 142349337 is about 11931.0241387737. The cubic root of 142349337 is about 522.1378175762.

The spelling of 142349337 in words is "one hundred forty-two million, three hundred forty-nine thousand, three hundred thirty-seven".

Divisors: 1 3 9 13 39 117 881 1381 2643 4143 7929 11453 12429 17953 34359 53859 103077 161577 1216661 3649983 10949949 15816593 47449779 142349337