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42303042144 = 25321173182921
BaseRepresentation
bin100111011001011101…
…010011001001100000
311001012011122012101200
4213121131103021200
51143114034322034
631233405001200
73025210632246
oct473135231140
9131164565350
1042303042144
1116a38a67760
128247253200
133cb22512ac
1420943cc796
151178ca9a99
hex9d9753260

42303042144 has 144 divisors (see below), whose sum is σ = 133034048784. Its totient is φ = 12643430400.

The previous prime is 42303042121. The next prime is 42303042161. The reversal of 42303042144 is 44124030324.

It is a happy number.

42303042144 is a `hidden beast` number, since 4 + 230 + 3 + 0 + 421 + 4 + 4 = 666.

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

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 23 ways as a sum of consecutive naturals, for example, 139804 + ... + 322724.

It is an arithmetic number, because the mean of its divisors is an integer number (923847561).

Almost surely, 242303042144 is an apocalyptic number.

42303042144 is a gapful number since it is divisible by the number (44) 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 42303042144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66517024392).

42303042144 is an abundant number, since it is smaller than the sum of its proper divisors (90731006640).

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

42303042144 is a wasteful number, since it uses less digits than its factorization.

42303042144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183021 (or 183010 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 42303042144 its reverse (44124030324), we get a palindrome (86427072468).

The spelling of 42303042144 in words is "forty-two billion, three hundred three million, forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 73 88 96 99 132 144 146 176 198 219 264 288 292 352 396 438 528 584 657 792 803 876 1056 1168 1314 1584 1606 1752 2336 2409 2628 3168 3212 3504 4818 5256 6424 7008 7227 9636 10512 12848 14454 19272 21024 25696 28908 38544 57816 77088 115632 182921 231264 365842 548763 731684 1097526 1463368 1646289 2012131 2195052 2926736 3292578 4024262 4390104 5853472 6036393 6585156 8048524 8780208 12072786 13170312 13353233 16097048 17560416 18109179 24145572 26340624 26706466 32194096 36218358 40059699 48291144 52681248 53412932 64388192 72436716 80119398 96582288 106825864 120179097 144873432 146885563 160238796 193164576 213651728 240358194 289746864 293771126 320477592 427303456 440656689 480716388 579493728 587542252 640955184 881313378 961432776 1175084504 1281910368 1321970067 1762626756 1922865552 2350169008 2643940134 3525253512 3845731104 4700338016 5287880268 7050507024 10575760536 14101014048 21151521072 42303042144