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144411444 = 22333771509
BaseRepresentation
bin10001001101110…
…00101100110100
3101001201212021000
420212320230310
5243432131234
622155123300
73402322422
oct1046705464
9331655230
10144411444
1174575501
1240443530
1323bc3278
1415272112
15ca28899
hex89b8b34

144411444 has 96 divisors (see below), whose sum is σ = 390700800. Its totient is φ = 46085760.

The previous prime is 144411439. The next prime is 144411469. The reversal of 144411444 is 444114441.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

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 31 ways as a sum of consecutive naturals, for example, 283462 + ... + 283970.

It is an arithmetic number, because the mean of its divisors is an integer number (4069800).

Almost surely, 2144411444 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 144411444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195350400).

144411444 is an abundant number, since it is smaller than the sum of its proper divisors (246289356).

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

144411444 is a wasteful number, since it uses less digits than its factorization.

144411444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 622 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

The square root of 144411444 is about 12017.1312716472. The cubic root of 144411444 is about 524.6470116980.

Adding to 144411444 its reverse (444114441), we get a palindrome (588525885).

The spelling of 144411444 in words is "one hundred forty-four million, four hundred eleven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 71 74 108 111 142 148 213 222 284 333 426 444 509 639 666 852 999 1018 1278 1332 1527 1917 1998 2036 2556 2627 3054 3834 3996 4581 5254 6108 7668 7881 9162 10508 13743 15762 18324 18833 23643 27486 31524 36139 37666 47286 54972 56499 70929 72278 75332 94572 108417 112998 141858 144556 169497 216834 225996 283716 325251 338994 433668 508491 650502 677988 975753 1016982 1301004 1337143 1951506 2033964 2674286 3903012 4011429 5348572 8022858 12034287 16045716 24068574 36102861 48137148 72205722 144411444