Search a number
-
+
134102440000 = 265418312
BaseRepresentation
bin111110011100100100…
…0001101100001000000
3110211010211101210100001
41330321020031201000
54144120211040000
6141334504405344
712455116634554
oct1747110154100
9424124353301
10134102440000
1151966371011
1221ba6776854
13c851ab2519
1466c2287864
15374d0c146a
hex1f3920d840

134102440000 has 105 divisors (see below), whose sum is σ = 332712178491. Its totient is φ = 53611680000.

The previous prime is 134102439973. The next prime is 134102440007. The reversal of 134102440000 is 44201431.

The square root of 134102440000 is 366200.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 10513631296 + 123588808704 = 102536^2 + 351552^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 134102440000.

It is not an unprimeable number, because it can be changed into a prime (134102440007) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 73239085 + ... + 73240915.

Almost surely, 2134102440000 is an apocalyptic number.

134102440000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

134102440000 is the 366200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134102440000

134102440000 is an abundant number, since it is smaller than the sum of its proper divisors (198609738491).

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

134102440000 is an frugal number, since it uses more digits than its factorization.

134102440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3694 (or 1838 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 134102440000 its reverse (44201431), we get a palindrome (134146641431).

The spelling of 134102440000 in words is "one hundred thirty-four billion, one hundred two million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 1831 2000 2500 3662 4000 5000 7324 8000 9155 10000 14648 18310 20000 29296 36620 40000 45775 58592 73240 91550 117184 146480 183100 228875 292960 366200 457750 585920 732400 915500 1144375 1464800 1831000 2288750 2929600 3352561 3662000 4577500 6705122 7324000 9155000 13410244 14648000 16762805 18310000 26820488 33525610 36620000 53640976 67051220 73240000 83814025 107281952 134102440 167628050 214563904 268204880 335256100 419070125 536409760 670512200 838140250 1072819520 1341024400 1676280500 2095350625 2682048800 3352561000 4190701250 5364097600 6705122000 8381402500 13410244000 16762805000 26820488000 33525610000 67051220000 134102440000