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144742038 = 23719315851
BaseRepresentation
bin10001010000010…
…01011010010110
3101002100122202020
420220021122112
5244023221123
622210154010
73405200310
oct1050113226
9332318666
10144742038
1174780921
1240582906
1323caa89c
141531a7b0
15ca917e3
hex8a09696

144742038 has 64 divisors (see below), whose sum is σ = 359546880. Its totient is φ = 37908000.

The previous prime is 144742033. The next prime is 144742049. The reversal of 144742038 is 830247441.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144742033) 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 31 ways as a sum of consecutive naturals, for example, 21813 + ... + 27663.

It is an arithmetic number, because the mean of its divisors is an integer number (5617920).

Almost surely, 2144742038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144742038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179773440).

144742038 is an abundant number, since it is smaller than the sum of its proper divisors (214804842).

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

144742038 is a wasteful number, since it uses less digits than its factorization.

144742038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5913.

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 144742038 is about 12030.8785215378. The cubic root of 144742038 is about 525.0470560997.

Adding to 144742038 its reverse (830247441), we get a palindrome (974989479).

The spelling of 144742038 in words is "one hundred forty-four million, seven hundred forty-two thousand, thirty-eight".

Divisors: 1 2 3 6 7 14 19 21 31 38 42 57 62 93 114 133 186 217 266 399 434 589 651 798 1178 1302 1767 3534 4123 5851 8246 11702 12369 17553 24738 35106 40957 81914 111169 122871 181381 222338 245742 333507 362762 544143 667014 778183 1088286 1269667 1556366 2334549 2539334 3446239 3809001 4669098 6892478 7618002 10338717 20677434 24123673 48247346 72371019 144742038