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43134402031300 = 2252532221369389
BaseRepresentation
bin10011100111011000000101…
…01101011110111011000100
312122201121102122022220002201
421303230002231132323010
521123203223410000200
6231423400513444244
712041233456523506
oct1163540255367304
9178647378286081
1043134402031300
1112820219487178
124a0789bb70684
131b0b730c93928
14a91a05363d76
154ec0589aec6a
hex273b02b5eec4

43134402031300 has 108 divisors (see below), whose sum is σ = 95445528243660. Its totient is φ = 16920324861440.

The previous prime is 43134402031271. The next prime is 43134402031307. The reversal of 43134402031300 is 313020443134.

It can be written as a sum of positive squares in 18 ways, for example, as 3207193866496 + 39927208164804 = 1790864^2 + 6318798^2 .

It is not an unprimeable number, because it can be changed into a prime (43134402031307) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 621597006 + ... + 621666394.

It is an arithmetic number, because the mean of its divisors is an integer number (883754891145).

Almost surely, 243134402031300 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 43134402031300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47722764121830).

43134402031300 is an abundant number, since it is smaller than the sum of its proper divisors (52311126212360).

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

43134402031300 is a wasteful number, since it uses less digits than its factorization.

43134402031300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71722 (or 71662 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 43134402031300 its reverse (313020443134), we get a palindrome (43447422474434).

The spelling of 43134402031300 in words is "forty-three trillion, one hundred thirty-four billion, four hundred two million, thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 2213 2650 2809 4426 5300 5618 8852 11065 11236 14045 22130 28090 44260 55325 56180 69389 70225 110650 117289 138778 140450 221300 234578 277556 280900 346945 469156 586445 693890 1172890 1387780 1734725 2345780 2932225 3469450 3677617 5864450 6216317 6938900 7355234 11728900 12432634 14710468 18388085 24865268 31081585 36776170 62163170 73552340 91940425 124326340 153557857 155407925 183880850 194913701 307115714 310815850 367761700 389827402 614231428 621631700 767789285 779654804 974568505 1535578570 1949137010 3071157140 3838946425 3898274020 4872842525 7677892850 8138566421 9745685050 15355785700 16277132842 19491370100 32554265684 40692832105 81385664210 162771328420 203464160525 406928321050 431344020313 813856642100 862688040626 1725376081252 2156720101565 4313440203130 8626880406260 10783600507825 21567201015650 43134402031300