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144444872 = 231113314073
BaseRepresentation
bin10001001110000…
…00110111001000
3101001210120010002
420213000313020
5243434213442
622155542132
73402522035
oct1047006710
9331716102
10144444872
1174598630
124045a948
1323c05550
141528038c
15ca33732
hex89c0dc8

144444872 has 64 divisors (see below), whose sum is σ = 328527360. Its totient is φ = 58636800.

The previous prime is 144444871. The next prime is 144444893. The reversal of 144444872 is 278444441.

It is not an unprimeable number, because it can be changed into a prime (144444871) 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 15 ways as a sum of consecutive naturals, for example, 33428 + ... + 37500.

It is an arithmetic number, because the mean of its divisors is an integer number (5133240).

Almost surely, 2144444872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144444872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164263680).

144444872 is an abundant number, since it is smaller than the sum of its proper divisors (184082488).

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

144444872 is a wasteful number, since it uses less digits than its factorization.

144444872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4134 (or 4130 counting only the distinct ones).

The product of its digits is 114688, while the sum is 38.

The square root of 144444872 is about 12018.5220389198. The cubic root of 144444872 is about 524.6874899011.

The spelling of 144444872 in words is "one hundred forty-four million, four hundred forty-four thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 11 13 22 26 31 44 52 62 88 104 124 143 248 286 341 403 572 682 806 1144 1364 1612 2728 3224 4073 4433 8146 8866 16292 17732 32584 35464 44803 52949 89606 105898 126263 179212 211796 252526 358424 423592 505052 582439 1010104 1164878 1388893 1641419 2329756 2777786 3282838 4659512 5555572 6565676 11111144 13131352 18055609 36111218 72222436 144444872