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440114434300 = 225247353265273
BaseRepresentation
bin1100110011110001101…
…11010101000011111100
31120002000022221202211201
412121320313111003330
524202323243344200
6534104043425244
743540305652342
oct6317067250374
91502008852751
10440114434300
1115a719140642
1271369525224
133266c3193b8
1417431a3b992
15b6ad486c6a
hex6678dd50fc

440114434300 has 72 divisors (see below), whose sum is σ = 978135270336. Its totient is φ = 171811368960.

The previous prime is 440114434247. The next prime is 440114434321. The reversal of 440114434300 is 3434411044.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1526464 + ... + 1791736.

It is an arithmetic number, because the mean of its divisors is an integer number (13585212088).

Almost surely, 2440114434300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440114434300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489067635168).

440114434300 is an abundant number, since it is smaller than the sum of its proper divisors (538020836036).

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

440114434300 is a wasteful number, since it uses less digits than its factorization.

440114434300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265687 (or 265680 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 440114434300 its reverse (3434411044), we get a palindrome (443548845344).

The spelling of 440114434300 in words is "four hundred forty billion, one hundred fourteen million, four hundred thirty-four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 353 470 706 940 1175 1412 1765 2350 3530 4700 7060 8825 16591 17650 33182 35300 66364 82955 165910 265273 331820 414775 530546 829550 1061092 1326365 1659100 2652730 5305460 6631825 12467831 13263650 24935662 26527300 49871324 62339155 93641369 124678310 187282738 249356620 311695775 374565476 468206845 623391550 936413690 1246783100 1872827380 2341034225 4401144343 4682068450 8802288686 9364136900 17604577372 22005721715 44011443430 88022886860 110028608575 220057217150 440114434300