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144544413564 = 223237325333359
BaseRepresentation
bin1000011010011110000…
…1001011011101111100
3111211002112211000012200
42012213201023131330
54332011332213224
6150223000231500
713304642146305
oct2064741133574
9454075730180
10144544413564
115633460a331
122401b76b590
13108272191c5
146dd2db97ac
153b5eb845c9
hex21a784b77c

144544413564 has 72 divisors (see below), whose sum is σ = 375377795520. Its totient is φ = 46863453312.

The previous prime is 144544413553. The next prime is 144544413619. The reversal of 144544413564 is 465314445441.

It is a happy number.

144544413564 is a `hidden beast` number, since 1 + 4 + 4 + 5 + 44 + 41 + 3 + 564 = 666.

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, 4316317 + ... + 4349675.

Almost surely, 2144544413564 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 144544413564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187688897760).

144544413564 is an abundant number, since it is smaller than the sum of its proper divisors (230833381956).

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

144544413564 is a wasteful number, since it uses less digits than its factorization.

144544413564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36659 (or 36654 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 45.

The spelling of 144544413564 in words is "one hundred forty-four billion, five hundred forty-four million, four hundred thirteen thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 3253 6506 9759 13012 19518 29277 33359 39036 58554 66718 100077 117108 120361 133436 200154 240722 300231 361083 400308 481444 600462 722166 1083249 1200924 1234283 1444332 2166498 2468566 3702849 4332996 4937132 7405698 11108547 14811396 22217094 44434188 108516827 217033654 325550481 434067308 651100962 976651443 1302201924 1953302886 3906605772 4015122599 8030245198 12045367797 16060490396 24090735594 36136103391 48181471188 72272206782 144544413564