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43212212144240 = 24519373853199417
BaseRepresentation
bin10011101001101001000001…
…00011100000100001110000
312200000001021100210011210112
421310310200203200201300
521130442102302103430
6231523225522320452
712046656620545646
oct1164644043404160
9180001240704715
1043212212144240
1112850218240737
124a1a9964b9128
131b15b814c8189
14a956a7335196
154ee0aeaad195
hex274d208e0870

43212212144240 has 160 divisors (see below), whose sum is σ = 108643213561920. Its totient is φ = 15928367357952.

The previous prime is 43212212144197. The next prime is 43212212144263. The reversal of 43212212144240 is 4244121221234.

It is a junction number, because it is equal to n+sod(n) for n = 43212212144197 and 43212212144206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216593012 + ... + 216792428.

It is an arithmetic number, because the mean of its divisors is an integer number (679020084762).

Almost surely, 243212212144240 is an apocalyptic number.

43212212144240 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 43212212144240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54321606780960).

43212212144240 is an abundant number, since it is smaller than the sum of its proper divisors (65431001417680).

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

43212212144240 is a wasteful number, since it uses less digits than its factorization.

43212212144240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203339 (or 203333 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 43212212144240 its reverse (4244121221234), we get a palindrome (47456333365474).

The spelling of 43212212144240 in words is "forty-three trillion, two hundred twelve billion, two hundred twelve million, one hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 37 38 40 74 76 80 95 148 152 185 190 296 304 370 380 592 703 740 760 1406 1480 1520 2812 2960 3515 3853 5624 7030 7706 11248 14060 15412 19265 28120 30824 38530 56240 61648 73207 77060 142561 146414 154120 199417 285122 292828 308240 366035 398834 570244 585656 712805 732070 797668 997085 1140488 1171312 1425610 1464140 1595336 1994170 2280976 2708659 2851220 2928280 3190672 3788923 3988340 5417318 5702440 5856560 7378429 7577846 7976680 10834636 11404880 13543295 14756858 15155692 15953360 18944615 21669272 27086590 29513716 30311384 36892145 37889230 43338544 54173180 59027432 60622768 73784290 75778460 108346360 118054864 140190151 147568580 151556920 216692720 280380302 295137160 303113840 560760604 590274320 700950755 768353701 1121521208 1401901510 1536707402 2243042416 2803803020 3073414804 3841768505 5607606040 6146829608 7683537010 11215212080 12293659216 14598720319 15367074020 28429086937 29197440638 30734148040 56858173874 58394881276 61468296080 72993601595 113716347748 116789762552 142145434685 145987203190 227432695496 233579525104 284290869370 291974406380 454865390992 540152651803 568581738740 583948812760 1080305303606 1137163477480 1167897625520 2160610607212 2274326954960 2700763259015 4321221214424 5401526518030 8642442428848 10803053036060 21606106072120 43212212144240