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424441132440 = 2335132311829463
BaseRepresentation
bin1100010110100101010…
…10011011010110011000
31111120120000212112122020
412023102222123112120
523423223412214230
6522552514254440
742444022045623
oct6132252332630
91446500775566
10424441132440
11154005a54a06
126a314587420
133104214b0a0
141678622cdba
15b0924c5810
hex62d2a9b598

424441132440 has 128 divisors (see below), whose sum is σ = 1430891965440. Its totient is φ = 99935294976.

The previous prime is 424441132439. The next prime is 424441132459. The reversal of 424441132440 is 44231144424.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 5878852 + ... + 5950611.

It is an arithmetic number, because the mean of its divisors is an integer number (11178843480).

Almost surely, 2424441132440 is an apocalyptic number.

424441132440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424441132440 is an abundant number, since it is smaller than the sum of its proper divisors (1006450833000).

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

424441132440 is a wasteful number, since it uses less digits than its factorization.

424441132440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11829513 (or 11829509 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 424441132440 its reverse (44231144424), we get a palindrome (468672276864).

The spelling of 424441132440 in words is "four hundred twenty-four billion, four hundred forty-one million, one hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 23 24 26 30 39 40 46 52 60 65 69 78 92 104 115 120 130 138 156 184 195 230 260 276 299 312 345 390 460 520 552 598 690 780 897 920 1196 1380 1495 1560 1794 2392 2760 2990 3588 4485 5980 7176 8970 11960 17940 35880 11829463 23658926 35488389 47317852 59147315 70976778 94635704 118294630 141953556 153783019 177441945 236589260 272077649 283907112 307566038 354883890 461349057 473178520 544155298 615132076 709767780 768915095 816232947 922698114 1088310596 1230264152 1360388245 1419535560 1537830190 1632465894 1845396228 2176621192 2306745285 2720776490 3075660380 3264931788 3537009437 3690792456 4081164735 4613490570 5441552980 6151320760 6529863576 7074018874 8162329470 9226981140 10611028311 10883105960 14148037748 16324658940 17685047185 18453962280 21222056622 28296075496 32649317880 35370094370 42444113244 53055141555 70740188740 84888226488 106110283110 141480377480 212220566220 424441132440