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144140128 = 25114389107
BaseRepresentation
bin10001001011101…
…10011101100000
3101001020002002021
420211312131200
5243344441003
622145231224
73400112416
oct1045663540
9331202067
10144140128
11743aa680
1240332514
1323b29922
14152012b6
15c9c32bd
hex8976760

144140128 has 96 divisors (see below), whose sum is σ = 323326080. Its totient is φ = 62684160.

The previous prime is 144140083. The next prime is 144140159. The reversal of 144140128 is 821041441.

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 15 ways as a sum of consecutive naturals, for example, 1347051 + ... + 1347157.

It is an arithmetic number, because the mean of its divisors is an integer number (3367980).

Almost surely, 2144140128 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 144140128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161663040).

144140128 is an abundant number, since it is smaller than the sum of its proper divisors (179185952).

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

144140128 is a wasteful number, since it uses less digits than its factorization.

144140128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 144140128 is about 12005.8372469395. The cubic root of 144140128 is about 524.3182418941.

Adding to 144140128 its reverse (821041441), we get a palindrome (965181569).

The spelling of 144140128 in words is "one hundred forty-four million, one hundred forty thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 43 44 86 88 89 107 172 176 178 214 344 352 356 428 473 688 712 856 946 979 1177 1376 1424 1712 1892 1958 2354 2848 3424 3784 3827 3916 4601 4708 7568 7654 7832 9202 9416 9523 15136 15308 15664 18404 18832 19046 30616 31328 36808 37664 38092 42097 50611 61232 73616 76184 84194 101222 104753 122464 147232 152368 168388 202444 209506 304736 336776 404888 409489 419012 673552 809776 818978 838024 1347104 1619552 1637956 1676048 3275912 3352096 4504379 6551824 9008758 13103648 18017516 36035032 72070064 144140128