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144440412144 = 24371726396149
BaseRepresentation
bin1000011010000101010…
…0011100011111110000
3111210211022010012002020
42012201110130133300
54331303221142034
6150204403151440
713302240150210
oct2064124343760
9453738105066
10144440412144
1156290935546
1223bb0975580
131080b8042c2
146dc3266240
153b5598e249
hex21a151c7f0

144440412144 has 160 divisors (see below), whose sum is σ = 453249561600. Its totient is φ = 38693031936.

The previous prime is 144440412119. The next prime is 144440412157. The reversal of 144440412144 is 441214044441.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1454182 + ... + 1550330.

It is an arithmetic number, because the mean of its divisors is an integer number (2832809760).

Almost surely, 2144440412144 is an apocalyptic number.

144440412144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144440412144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226624780800).

144440412144 is an abundant number, since it is smaller than the sum of its proper divisors (308809149456).

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

144440412144 is a wasteful number, since it uses less digits than its factorization.

144440412144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96447 (or 96441 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 33.

Adding to 144440412144 its reverse (441214044441), we get a palindrome (585654456585).

The spelling of 144440412144 in words is "one hundred forty-four billion, four hundred forty million, four hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 263 272 336 357 408 476 526 714 789 816 952 1052 1428 1578 1841 1904 2104 2856 3156 3682 4208 4471 5523 5712 6312 7364 8942 11046 12624 13413 14728 17884 22092 26826 29456 31297 35768 44184 53652 62594 71536 88368 93891 96149 107304 125188 187782 192298 214608 250376 288447 375564 384596 500752 576894 673043 751128 769192 1153788 1346086 1502256 1538384 1634533 2019129 2307576 2692172 3269066 4038258 4615152 4903599 5384344 6538132 8076516 9807198 10768688 11441731 13076264 16153032 19614396 22883462 25287187 26152528 32306064 34325193 39228792 45766924 50574374 68650386 75861561 78457584 91533848 101148748 137300772 151723122 177010309 183067696 202297496 274601544 303446244 354020618 404594992 429882179 531030927 549203088 606892488 708041236 859764358 1062061854 1213784976 1289646537 1416082472 1719528716 2124123708 2579293074 2832164944 3009175253 3439057432 4248247416 5158586148 6018350506 6878114864 8496494832 9027525759 10317172296 12036701012 18055051518 20634344592 24073402024 36110103036 48146804048 72220206072 144440412144