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4300435145000 = 23546481132709
BaseRepresentation
bin111110100101000101111…
…010001100000100101000
3120020010011201102101101202
4332211011322030010220
51030424242344120000
613051332001503332
7622460535415001
oct76450572140450
916203151371352
104300435145000
111408893588835
12595553041b48
132526b5b22697
1410c1dc1941a8
1576ce6970dd5
hex3e945e8c128

4300435145000 has 80 divisors (see below), whose sum is σ = 10077550167300. Its totient is φ = 1719895680000.

The previous prime is 4300435144949. The next prime is 4300435145021. The reversal of 4300435145000 is 5415340034.

It can be written as a sum of positive squares in 10 ways, for example, as 83663248516 + 4216771896484 = 289246^2 + 2053478^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32338646 + ... + 32471354.

Almost surely, 24300435145000 is an apocalyptic number.

4300435145000 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 4300435145000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5038775083650).

4300435145000 is an abundant number, since it is smaller than the sum of its proper divisors (5777115022300).

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

4300435145000 is a wasteful number, since it uses less digits than its factorization.

4300435145000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139216 (or 139197 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The spelling of 4300435145000 in words is "four trillion, three hundred billion, four hundred thirty-five million, one hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 6481 12962 25924 32405 51848 64810 129620 132709 162025 259240 265418 324050 530836 648100 663545 810125 1061672 1296200 1327090 1620250 2654180 3240500 3317725 4050625 5308360 6481000 6635450 8101250 13270900 16202500 16588625 26541800 32405000 33177250 66354500 82943125 132709000 165886250 331772500 663545000 860087029 1720174058 3440348116 4300435145 6880696232 8600870290 17201740580 21502175725 34403481160 43004351450 86008702900 107510878625 172017405800 215021757250 430043514500 537554393125 860087029000 1075108786250 2150217572500 4300435145000