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4303145000 = 235471111177
BaseRepresentation
bin1000000000111110…
…01100100000101000
3102002220010102012202
410000133030200220
532303101120000
61550555155332
7211431062150
oct40037144050
912086112182
104303145000
111909016590
12a01145b48
13537680b5b
142cb705760
151a2ba5dd5
hex1007cc828

4303145000 has 160 divisors (see below), whose sum is σ = 12571225920. Its totient is φ = 1341120000.

The previous prime is 4303144991. The next prime is 4303145017. The reversal of 4303145000 is 5413034.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 379412 + ... + 390588.

It is an arithmetic number, because the mean of its divisors is an integer number (78570162).

Almost surely, 24303145000 is an apocalyptic number.

4303145000 is a gapful number since it is divisible by the number (40) 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 4303145000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6285612960).

4303145000 is an abundant number, since it is smaller than the sum of its proper divisors (8268080920).

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

4303145000 is a wasteful number, since it uses less digits than its factorization.

4303145000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11221 (or 11202 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 4303145000 is about 65598.3612600193. The cubic root of 4303145000 is about 1626.5296838500.

Adding to 4303145000 its reverse (5413034), we get a palindrome (4308558034).

The spelling of 4303145000 in words is "four billion, three hundred three million, one hundred forty-five thousand".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 125 140 154 175 200 220 250 275 280 308 350 385 440 500 550 616 625 700 770 875 1000 1100 1250 1375 1400 1540 1750 1925 2200 2500 2750 3080 3500 3850 4375 5000 5500 6875 7000 7700 8750 9625 11000 11177 13750 15400 17500 19250 22354 27500 35000 38500 44708 48125 55000 55885 77000 78239 89416 96250 111770 122947 156478 192500 223540 245894 279425 312956 385000 391195 447080 491788 558850 614735 625912 782390 860629 983576 1117700 1229470 1397125 1564780 1721258 1955975 2235400 2458940 2794250 3073675 3129560 3442516 3911950 4303145 4917880 5588500 6147350 6885032 6985625 7823900 8606290 9779875 11177000 12294700 13971250 15368375 15647800 17212580 19559750 21515725 24589400 27942500 30736750 34425160 39119500 43031450 48899375 55885000 61473500 76841875 78239000 86062900 97798750 107578625 122947000 153683750 172125800 195597500 215157250 307367500 391195000 430314500 537893125 614735000 860629000 1075786250 2151572500 4303145000