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144181716 = 22372733359
BaseRepresentation
bin10001001100000…
…00100111010100
3101001022012010120
420212000213110
5243402303331
622150151540
73400344600
oct1046004724
9331265116
10144181716
1174428948
12403525b0
1323b42833
1415212500
15c9d0796
hex89809d4

144181716 has 72 divisors (see below), whose sum is σ = 396829440. Its totient is φ = 40618368.

The previous prime is 144181693. The next prime is 144181727. The reversal of 144181716 is 617181441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41245 + ... + 44603.

It is an arithmetic number, because the mean of its divisors is an integer number (5511520).

Almost surely, 2144181716 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 144181716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198414720).

144181716 is an abundant number, since it is smaller than the sum of its proper divisors (252647724).

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

144181716 is a wasteful number, since it uses less digits than its factorization.

144181716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3453 (or 3444 counting only the distinct ones).

The product of its digits is 5376, while the sum is 33.

The square root of 144181716 is about 12007.5691128554. The cubic root of 144181716 is about 524.3686633151.

The spelling of 144181716 in words is "one hundred forty-four million, one hundred eighty-one thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 73 84 98 146 147 196 219 292 294 438 511 588 876 1022 1533 2044 3066 3359 3577 6132 6718 7154 10077 10731 13436 14308 20154 21462 23513 40308 42924 47026 70539 94052 141078 164591 245207 282156 329182 490414 493773 658364 735621 980828 987546 1471242 1716449 1975092 2942484 3432898 5149347 6865796 10298694 12015143 20597388 24030286 36045429 48060572 72090858 144181716