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14324220144 = 24371331489
BaseRepresentation
bin11010101011100101…
…00100000011110000
31100222021112210000000
431111302210003300
5213314000021034
610325213430000
71014652601523
oct152562440360
940867483000
1014324220144
116090715673
12293919b300
131473839c10
1499c592bba
1558c828599
hex355ca40f0

14324220144 has 160 divisors (see below), whose sum is σ = 44826644800. Its totient is φ = 4407312384.

The previous prime is 14324220139. The next prime is 14324220191. The reversal of 14324220144 is 44102242341.

14324220144 is a `hidden beast` number, since 1 + 432 + 4 + 220 + 1 + 4 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 439152 + ... + 470640.

It is an arithmetic number, because the mean of its divisors is an integer number (280166530).

Almost surely, 214324220144 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 14324220144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22413322400).

14324220144 is an abundant number, since it is smaller than the sum of its proper divisors (30502424656).

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

14324220144 is an equidigital number, since it uses as much as digits as its factorization.

14324220144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31531 (or 31507 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 14324220144 its reverse (44102242341), we get a palindrome (58426462485).

The spelling of 14324220144 in words is "fourteen billion, three hundred twenty-four million, two hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 243 312 324 351 432 468 486 624 648 702 729 936 972 1053 1296 1404 1458 1872 1944 2106 2187 2808 2916 3159 3888 4212 4374 5616 5832 6318 8424 8748 9477 11664 12636 16848 17496 18954 25272 28431 31489 34992 37908 50544 56862 62978 75816 94467 113724 125956 151632 188934 227448 251912 283401 377868 409357 454896 503824 566802 755736 818714 850203 1133604 1228071 1511472 1637428 1700406 2267208 2456142 2550609 3274856 3400812 3684213 4534416 4912284 5101218 6549712 6801624 7368426 7651827 9824568 10202436 11052639 13603248 14736852 15303654 19649136 20404872 22105278 22955481 29473704 30607308 33157917 40809744 44210556 45910962 58947408 61214616 66315834 68866443 88421112 91821924 99473751 122429232 132631668 137732886 176842224 183643848 198947502 265263336 275465772 298421253 367287696 397895004 530526672 550931544 596842506 795790008 895263759 1101863088 1193685012 1591580016 1790527518 2387370024 3581055036 4774740048 7162110072 14324220144