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144842334 = 23721337897
BaseRepresentation
bin10001010001000…
…01111001011110
3101002112202022220
420220201321132
5244034423314
622212250210
73406065600
oct1050417136
9332482286
10144842334
117483a20a
1240610966
1324014430
1415345170
15cab13a9
hex8a21e5e

144842334 has 48 divisors (see below), whose sum is σ = 362911248. Its totient is φ = 38199168.

The previous prime is 144842317. The next prime is 144842359. The reversal of 144842334 is 433248441.

It is a junction number, because it is equal to n+sod(n) for n = 144842295 and 144842304.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 15127 + ... + 22770.

It is an arithmetic number, because the mean of its divisors is an integer number (7560651).

Almost surely, 2144842334 is an apocalyptic number.

144842334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

144842334 is an abundant number, since it is smaller than the sum of its proper divisors (218068914).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144842334 is a wasteful number, since it uses less digits than its factorization.

144842334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37929 (or 37922 counting only the distinct ones).

The product of its digits is 36864, while the sum is 33.

The square root of 144842334 is about 12035.0460738628. The cubic root of 144842334 is about 525.1683015966.

The spelling of 144842334 in words is "one hundred forty-four million, eight hundred forty-two thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 182 273 294 546 637 1274 1911 3822 37897 75794 113691 227382 265279 492661 530558 795837 985322 1477983 1591674 1856953 2955966 3448627 3713906 5570859 6897254 10345881 11141718 20691762 24140389 48280778 72421167 144842334