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43140424031200 = 25521011907279977
BaseRepresentation
bin10011100111100011010011…
…01001100101101111100000
312122202011222022210011222001
421303301221221211233200
521123303042022444300
6231430234234053344
712041535631630516
oct1163615151455740
9178664868704861
1043140424031200
11128228297738a1
124a08aa087a254
131b0c180793192
14a9201705c4b6
154ec2ac4e116a
hex273c69a65be0

43140424031200 has 144 divisors (see below), whose sum is σ = 106415451568944. Its totient is φ = 17076296192000.

The previous prime is 43140424031101. The next prime is 43140424031203. The reversal of 43140424031200 is 213042404134.

It is a super-2 number, since 2×431404240312002 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43140424031203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153945612 + ... + 154225588.

It is an arithmetic number, because the mean of its divisors is an integer number (738996191451).

Almost surely, 243140424031200 is an apocalyptic number.

43140424031200 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 43140424031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53207725784472).

43140424031200 is an abundant number, since it is smaller than the sum of its proper divisors (63275027537744).

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

43140424031200 is a wasteful number, since it uses less digits than its factorization.

43140424031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282005 (or 281992 counting only the distinct ones).

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

Adding to 43140424031200 its reverse (213042404134), we get a palindrome (43353466435334).

The spelling of 43140424031200 in words is "forty-three trillion, one hundred forty billion, four hundred twenty-four million, thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 101 160 200 202 400 404 505 800 808 1010 1616 1907 2020 2525 3232 3814 4040 5050 7628 8080 9535 10100 15256 16160 19070 20200 30512 38140 40400 47675 61024 76280 80800 95350 152560 190700 192607 279977 305120 381400 385214 559954 762800 770428 963035 1119908 1399885 1525600 1540856 1926070 2239816 2799770 3081712 3852140 4479632 4815175 5599540 6163424 6999425 7704280 8959264 9630350 11199080 13998850 15408560 19260700 22398160 27997700 28277677 30817120 38521400 44796320 55995400 56555354 77042800 111990800 113110708 141388385 154085600 223981600 226221416 282776770 452442832 533916139 565553540 706941925 904885664 1067832278 1131107080 1413883850 2135664556 2262214160 2669580695 2827767700 4271329112 4524428320 5339161390 5655535400 8542658224 10678322780 11311070800 13347903475 17085316448 21356645560 22622141600 26695806950 42713291120 53391613900 53925530039 85426582240 106783227800 107851060078 213566455600 215702120156 269627650195 427132911200 431404240312 539255300390 862808480624 1078510600780 1348138250975 1725616961248 2157021201560 2696276501950 4314042403120 5392553003900 8628084806240 10785106007800 21570212015600 43140424031200