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144104272 = 24132137389
BaseRepresentation
bin10001001011011…
…01101101010000
3101001011020220021
420211231231100
5243342314042
622144353224
73366603034
oct1045555520
9331136807
10144104272
1174385744
1240315814
1323b16500
14151d21c4
15c9b7867
hex896db50

144104272 has 60 divisors (see below), whose sum is σ = 305320860. Its totient is φ = 65854464.

The previous prime is 144104249. The next prime is 144104273. The reversal of 144104272 is 272401441.

It can be written as a sum of positive squares in 6 ways, for example, as 31404816 + 112699456 = 5604^2 + 10616^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144104273) 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 11 ways as a sum of consecutive naturals, for example, 370254 + ... + 370642.

It is an arithmetic number, because the mean of its divisors is an integer number (5088681).

Almost surely, 2144104272 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 144104272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152660430).

144104272 is an abundant number, since it is smaller than the sum of its proper divisors (161216588).

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

144104272 is a wasteful number, since it uses less digits than its factorization.

144104272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 144104272 is about 12004.3438804459. The cubic root of 144104272 is about 524.2747621816.

The spelling of 144104272 in words is "one hundred forty-four million, one hundred four thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 52 104 137 169 208 274 338 389 548 676 778 1096 1352 1556 1781 2192 2704 3112 3562 5057 6224 7124 10114 14248 20228 23153 28496 40456 46306 53293 65741 80912 92612 106586 131482 185224 213172 262964 370448 426344 525928 692809 852688 1051856 1385618 2771236 5542472 9006517 11084944 18013034 36026068 72052136 144104272