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4353130144 = 2511232918541
BaseRepresentation
bin1000000110111011…
…10111111010100000
3102020101011220221101
410003131313322200
532403400131034
61555542404144
7212605665346
oct40335677240
912211156841
104353130144
111934257120
12a15a30654
13544b3256c
142d41d7996
151a727b514
hex103777ea0

4353130144 has 96 divisors (see below), whose sum is σ = 10092781440. Its totient is φ = 1827302400.

The previous prime is 4353130141. The next prime is 4353130157. The reversal of 4353130144 is 4410313534.

It is not an unprimeable number, because it can be changed into a prime (4353130141) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 225514 + ... + 244054.

It is an arithmetic number, because the mean of its divisors is an integer number (105133140).

Almost surely, 24353130144 is an apocalyptic number.

4353130144 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 4353130144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5046390720).

4353130144 is an abundant number, since it is smaller than the sum of its proper divisors (5739651296).

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

4353130144 is a wasteful number, since it uses less digits than its factorization.

4353130144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18614 (or 18606 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 4353130144 is about 65978.2550845352. The cubic root of 4353130144 is about 1632.8033538425.

Adding to 4353130144 its reverse (4410313534), we get a palindrome (8763443678).

The spelling of 4353130144 in words is "four billion, three hundred fifty-three million, one hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 23 29 32 44 46 58 88 92 116 176 184 232 253 319 352 368 464 506 638 667 736 928 1012 1276 1334 2024 2552 2668 4048 5104 5336 7337 8096 10208 10672 14674 18541 21344 29348 37082 58696 74164 117392 148328 203951 234784 296656 407902 426443 537689 593312 815804 852886 1075378 1631608 1705772 2150756 3263216 3411544 4301512 4690873 5914579 6526432 6823088 8603024 9381746 11829158 12366847 13646176 17206048 18763492 23658316 24733694 37526984 47316632 49467388 75053968 94633264 98934776 136035317 150107936 189266528 197869552 272070634 395739104 544141268 1088282536 2176565072 4353130144