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440230242300 = 2235247119326171
BaseRepresentation
bin1100110011111111100…
…01000110011111111100
31120002022101212102112220
412121333301012133330
524203042420223200
6534123341525340
743543213214112
oct6317761063774
91502271772486
10440230242300
1115a778549932
12713a0273850
133268a306244
1417443185ab2
15b6b87104a0
hex667fc467fc

440230242300 has 144 divisors (see below), whose sum is σ = 1301973668352. Its totient is φ = 114796275200.

The previous prime is 440230242259. The next prime is 440230242341. The reversal of 440230242300 is 3242032044.

It is an interprime number because it is at equal distance from previous prime (440230242259) and next prime (440230242341).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16808215 + ... + 16834385.

It is an arithmetic number, because the mean of its divisors is an integer number (9041483808).

Almost surely, 2440230242300 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 440230242300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650986834176).

440230242300 is an abundant number, since it is smaller than the sum of its proper divisors (861743426052).

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

440230242300 is a wasteful number, since it uses less digits than its factorization.

440230242300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27428 (or 27421 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 440230242300 its reverse (3242032044), we get a palindrome (443472274344).

The spelling of 440230242300 in words is "four hundred forty billion, two hundred thirty million, two hundred forty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 47 50 60 75 94 100 141 150 188 235 282 300 470 564 705 940 1175 1193 1410 2350 2386 2820 3525 3579 4700 4772 5965 7050 7158 11930 14100 14316 17895 23860 26171 29825 35790 52342 56071 59650 71580 78513 89475 104684 112142 119300 130855 157026 168213 178950 224284 261710 280355 314052 336426 357900 392565 523420 560710 654275 672852 785130 841065 1121420 1230037 1308550 1401775 1570260 1682130 1962825 2460074 2617100 2803550 3364260 3690111 3925650 4205325 4920148 5607100 6150185 7380222 7851300 8410650 12300370 14760444 16821300 18450555 24600740 30750925 31222003 36901110 61501850 62444006 73802220 92252775 93666009 123003700 124888012 156110015 184505550 187332018 312220030 369011100 374664036 468330045 624440060 780550075 936660090 1467434141 1561100150 1873320180 2341650225 2934868282 3122200300 4402302423 4683300450 5869736564 7337170705 8804604846 9366600900 14674341410 17609209692 22011512115 29348682820 36685853525 44023024230 73371707050 88046048460 110057560575 146743414100 220115121150 440230242300