Search a number
-
+
12531540045440 = 275131506194717
BaseRepresentation
bin1011011001011011100111…
…1111100010111010000000
31122101000002120110010121002
42312112321333202322000
53120304043222423230
642352524321551132
72432242146603203
oct266267177427200
948330076403532
1012531540045440
113aa1661728259
1214a48434a54a8
136cb946ca6130
1431475b9b593a
1516ae92987545
hexb65b9fe2e80

12531540045440 has 64 divisors (see below), whose sum is σ = 32262690859560. Its totient is φ = 4627030167552.

The previous prime is 12531540045359. The next prime is 12531540045467. The reversal of 12531540045440 is 4454004513521.

It can be written as a sum of positive squares in 4 ways, for example, as 6264288156736 + 6267251888704 = 2502856^2 + 2503448^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 12531540045394 and 12531540045403.

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, 753089039 + ... + 753105678.

Almost surely, 212531540045440 is an apocalyptic number.

12531540045440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12531540045440 is an abundant number, since it is smaller than the sum of its proper divisors (19731150814120).

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

12531540045440 is a wasteful number, since it uses less digits than its factorization.

12531540045440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506194749 (or 1506194737 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 38.

Adding to 12531540045440 its reverse (4454004513521), we get a palindrome (16985544558961).

The spelling of 12531540045440 in words is "twelve trillion, five hundred thirty-one billion, five hundred forty million, forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1664 2080 4160 8320 1506194717 3012389434 6024778868 7530973585 12049557736 15061947170 19580531321 24099115472 30123894340 39161062642 48198230944 60247788680 78322125284 96396461888 97902656605 120495577360 156644250568 192792923776 195805313210 240991154720 313288501136 391610626420 481982309440 626577002272 783221252840 963964618880 1253154004544 1566442505680 2506308009088 3132885011360 6265770022720 12531540045440