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2312614000530 = 234531145163473
BaseRepresentation
bin100001101001110010100…
…010010011011110010010
322012002021001020111110000
4201221302202103132102
5300342213141004110
64530222235550430
7326036505444231
oct41516242233622
98162231214400
102312614000530
1181185734a409
123142498bb416
1313a1037b5b02
147dd06d9cb18
1540252c931c0
hex21a72893792

2312614000530 has 160 divisors (see below), whose sum is σ = 6423479428608. Its totient is φ = 596382912000.

The previous prime is 2312614000519. The next prime is 2312614000537. The reversal of 2312614000530 is 350004162132.

2312614000530 is a `hidden beast` number, since 2 + 3 + 12 + 614 + 0 + 0 + 0 + 5 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2312614000494 and 2312614000503.

It is not an unprimeable number, because it can be changed into a prime (2312614000537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36402874 + ... + 36466346.

Almost surely, 22312614000530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2312614000530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3211739714304).

2312614000530 is an abundant number, since it is smaller than the sum of its proper divisors (4110865428078).

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

2312614000530 is a wasteful number, since it uses less digits than its factorization.

2312614000530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64974 (or 64965 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 2312614000530 its reverse (350004162132), we get a palindrome (2662618162662).

The spelling of 2312614000530 in words is "two trillion, three hundred twelve billion, six hundred fourteen million, five hundred thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 81 90 93 135 155 162 186 270 279 310 405 465 558 810 837 930 1395 1451 1674 2511 2790 2902 4185 4353 5022 7255 8370 8706 12555 13059 14510 21765 25110 26118 39177 43530 44981 63473 65295 78354 89962 117531 126946 130590 134943 190419 195885 224905 235062 269886 317365 380838 391770 404829 449810 571257 587655 634730 674715 809658 952095 1142514 1175310 1214487 1349430 1713771 1904190 1967663 2024145 2428974 2856285 3427542 3643461 3935326 4048290 5141313 5712570 5902989 6072435 7286922 8568855 9838315 10282626 11805978 12144870 17137710 17708967 18217305 19676630 25706565 29514945 35417934 36434610 51413130 53126901 59029890 88544835 92099323 106253802 159380703 177089670 184198646 265634505 276297969 318761406 460496615 531269010 552595938 796903515 828893907 920993230 1381489845 1593807030 1657787814 2486681721 2762979690 2855079013 4144469535 4973363442 5710158026 7460045163 8288939070 8565237039 12433408605 14275395065 14920090326 17130474078 24866817210 25695711117 28550790130 37300225815 42826185195 51391422234 74600451630 77087133351 85652370390 128478555585 154174266702 231261400053 256957111170 385435666755 462522800106 770871333510 1156307000265 2312614000530