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440130431100 = 2235223129149409
BaseRepresentation
bin1100110011110011101…
…00010110100001111100
31120002001110001111022210
412121321310112201330
524202341342243400
6534105414340420
743540561636263
oct6317164264174
91502043044283
10440130431100
1115a727177238
127137295a710
133267272a669
1417433c035da
15b6aea96950
hex6679d1687c

440130431100 has 144 divisors (see below), whose sum is σ = 1329867383040. Its totient is φ = 112175923200.

The previous prime is 440130431099. The next prime is 440130431131. The reversal of 440130431100 is 1134031044.

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, 8883196 + ... + 8932604.

It is an arithmetic number, because the mean of its divisors is an integer number (9235190160).

Almost surely, 2440130431100 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 440130431100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664933691520).

440130431100 is an abundant number, since it is smaller than the sum of its proper divisors (889736951940).

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

440130431100 is a wasteful number, since it uses less digits than its factorization.

440130431100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50740 (or 50733 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 440130431100 its reverse (1134031044), we get a palindrome (441264462144).

The spelling of 440130431100 in words is "four hundred forty billion, one hundred thirty million, four hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1150 1291 1380 1725 2300 2582 3450 3873 5164 6455 6900 7746 12910 15492 19365 25820 29693 32275 38730 49409 59386 64550 77460 89079 96825 98818 118772 129100 148227 148465 178158 193650 197636 247045 296454 296930 356316 387300 445395 494090 592908 593860 741135 742325 890790 988180 1136407 1235225 1482270 1484650 1781580 2226975 2272814 2470450 2964540 2969300 3409221 3705675 4453950 4545628 4940900 5682035 6818442 7411350 8907900 11364070 13636884 14822700 17046105 22728140 28410175 34092210 56820350 63787019 68184420 85230525 113640700 127574038 170461050 191361057 255148076 318935095 340922100 382722114 637870190 765444228 956805285 1275740380 1467101437 1594675475 1913610570 2934202874 3189350950 3827221140 4401304311 4784026425 5868405748 6378701900 7335507185 8802608622 9568052850 14671014370 17605217244 19136105700 22006521555 29342028740 36677535925 44013043110 73355071850 88026086220 110032607775 146710143700 220065215550 440130431100