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144273744 = 2433337991
BaseRepresentation
bin10001001100101…
…11000101010000
3101001110212101000
420212113011100
5243413224434
622152142000
73401210106
oct1046270520
9331425330
10144273744
1174490aaa
1240397900
1323b756a4
1415237c76
15c9ecb99
hex8997150

144273744 has 80 divisors (see below), whose sum is σ = 415767040. Its totient is φ = 47900160.

The previous prime is 144273743. The next prime is 144273749. The reversal of 144273744 is 447372441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 144273699 and 144273708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144273743) 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, 145089 + ... + 146079.

It is an arithmetic number, because the mean of its divisors is an integer number (5197088).

Almost surely, 2144273744 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 144273744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207883520).

144273744 is an abundant number, since it is smaller than the sum of its proper divisors (271493296).

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

144273744 is a wasteful number, since it uses less digits than its factorization.

144273744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 1333 counting only the distinct ones).

The product of its digits is 75264, while the sum is 36.

The square root of 144273744 is about 12011.4005844448. The cubic root of 144273744 is about 524.4802038934.

The spelling of 144273744 in words is "one hundred forty-four million, two hundred seventy-three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 337 432 674 991 1011 1348 1982 2022 2696 2973 3033 3964 4044 5392 5946 6066 7928 8088 8919 9099 11892 12132 15856 16176 17838 18198 23784 24264 26757 35676 36396 47568 48528 53514 71352 72792 107028 142704 145584 214056 333967 428112 667934 1001901 1335868 2003802 2671736 3005703 4007604 5343472 6011406 8015208 9017109 12022812 16030416 18034218 24045624 36068436 48091248 72136872 144273744