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130443210431440 = 2454139769271473
BaseRepresentation
bin11101101010001100101101…
…001110001001101111010000
3122002212020201121122000021021
4131222030231032021233100
5114044140143332301230
61141232441131405224
736322132233210634
oct3552145516115720
9562766647560237
10130443210431440
1138621722706295
12127689272b3814
1357a298512764a
14242d6b1070dc4
1510131d9737c7a
hex76a32d389bd0

130443210431440 has 40 divisors (see below), whose sum is σ = 310677548754888. Its totient is φ = 50904667484160.

The previous prime is 130443210431357. The next prime is 130443210431467. The reversal of 130443210431440 is 44134012344031.

It can be written as a sum of positive squares in 4 ways, for example, as 14581064442256 + 115862145989184 = 3818516^2 + 10763928^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1304432104314402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130443210431396 and 130443210431405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19884632457 + ... + 19884639016.

Almost surely, 2130443210431440 is an apocalyptic number.

130443210431440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130443210431440 is an abundant number, since it is smaller than the sum of its proper divisors (180234338323448).

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

130443210431440 is a wasteful number, since it uses less digits than its factorization.

130443210431440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39769271527 (or 39769271521 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 130443210431440 its reverse (44134012344031), we get a palindrome (174577222775471).

The spelling of 130443210431440 in words is "one hundred thirty trillion, four hundred forty-three billion, two hundred ten million, four hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 39769271473 79538542946 159077085892 198846357365 318154171784 397692714730 636308343568 795385429460 1590770858920 1630540130393 3181541717840 3261080260786 6522160521572 8152700651965 13044321043144 16305401303930 26088642086288 32610802607860 65221605215720 130443210431440