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240328082450016 = 25321176998649073
BaseRepresentation
bin110110101001001110111101…
…111110111110011001100000
31011111221010210021120100221100
4312221032331332332121200
5223000013403101400031
62211045110311154400
7101423062631240061
oct6651167576763140
91144833707510840
10240328082450016
116a637627225aa0
1222b55238675a00
13a413ac16b0572
14434bd26b34568
151cbb741a6ade6
hexda93bdfbe660

240328082450016 has 144 divisors (see below), whose sum is σ = 746532786439440. Its totient is φ = 72731987804160.

The previous prime is 240328082449967. The next prime is 240328082450021. The reversal of 240328082450016 is 610054280823042.

240328082450016 is a `hidden beast` number, since 2 + 4 + 0 + 32 + 80 + 8 + 24 + 500 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2403280824500162 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46888345 + ... + 51760728.

It is an arithmetic number, because the mean of its divisors is an integer number (5184255461385).

Almost surely, 2240328082450016 is an apocalyptic number.

It is an amenable number.

240328082450016 is an abundant number, since it is smaller than the sum of its proper divisors (506204703989424).

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

240328082450016 is a wasteful number, since it uses less digits than its factorization.

240328082450016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98649869 (or 98649858 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 240328082450016 in words is "two hundred forty trillion, three hundred twenty-eight billion, eighty-two million, four hundred fifty thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 769 792 1056 1538 1584 2307 3076 3168 4614 6152 6921 8459 9228 12304 13842 16918 18456 24608 25377 27684 33836 36912 50754 55368 67672 73824 76131 101508 110736 135344 152262 203016 221472 270688 304524 406032 609048 812064 1218096 2436192 98649073 197298146 295947219 394596292 591894438 789192584 887841657 1085139803 1183788876 1578385168 1775683314 2170279606 2367577752 3156770336 3255419409 3551366628 4340559212 4735155504 6510838818 7102733256 8681118424 9470311008 9766258227 13021677636 14205466512 17362236848 19532516454 26043355272 28410933024 34724473696 39065032908 52086710544 75861137137 78130065816 104173421088 151722274274 156260131632 227583411411 303444548548 312520263264 455166822822 606889097096 682750234233 834472508507 910333645644 1213778194192 1365500468466 1668945017014 1820667291288 2427556388384 2503417525521 2731000936932 3337890034028 3641334582576 5006835051042 5462001873864 6675780068056 7282669165152 7510252576563 10013670102084 10924003747728 13351560136112 15020505153126 20027340204168 21848007495456 26703120272224 30041010306252 40054680408336 60082020612504 80109360816672 120164041225008 240328082450016