Search a number
-
+
451504065014130 = 2351710964712553381
BaseRepresentation
bin110011010101000111111101…
…1011010001110100101110010
32012012122100220121002122002010
41212222033323122032211302
5433134420311120423010
64240134034245303350
7164050043430135252
oct14652177332164562
92165570817078063
10451504065014130
11120954887017387
1242780619a04b56
13164c185c5c001b
147d6ccb0317962
15372e9cbe51620
hex19aa3fb68e972

451504065014130 has 128 divisors (see below), whose sum is σ = 1159667369372160. Its totient is φ = 112105499627520.

The previous prime is 451504065014099. The next prime is 451504065014137. The reversal of 451504065014130 is 31410560405154.

It is not an unprimeable number, because it can be changed into a prime (451504065014137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29690040 + ... + 42243420.

It is an arithmetic number, because the mean of its divisors is an integer number (9059901323220).

Almost surely, 2451504065014130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 451504065014130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579833684686080).

451504065014130 is an abundant number, since it is smaller than the sum of its proper divisors (708163304358030).

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

451504065014130 is a wasteful number, since it uses less digits than its factorization.

451504065014130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12554164.

The product of its (nonzero) digits is 144000, while the sum is 39.

The spelling of 451504065014130 in words is "four hundred fifty-one trillion, five hundred four billion, sixty-five million, fourteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 109 170 218 255 327 510 545 647 654 1090 1294 1635 1853 1941 3235 3270 3706 3882 5559 6470 9265 9705 10999 11118 18530 19410 21998 27795 32997 54995 55590 65994 70523 109990 141046 164985 211569 329970 352615 423138 705230 1057845 1198891 2115690 2397782 3596673 5994455 7193346 11988910 12553381 17983365 25106762 35966730 37660143 62766905 75320286 125533810 188300715 213407477 376601430 426814954 640222431 1067037385 1280444862 1368318529 2134074770 2736637058 3201112155 4104955587 6402224310 6841592645 8122037507 8209911174 13683185290 16244075014 20524777935 23261414993 24366112521 40610187535 41049555870 46522829986 48732225042 69784244979 81220375070 116307074965 121830562605 138074637619 139568489958 232614149930 243661125210 276149275238 348921224895 414223912857 690373188095 697842449790 828447825714 885302088263 1380746376190 1770604176526 2071119564285 2655906264789 4142239128570 4426510441315 5311812529578 8853020882630 13279531323945 15050135500471 26559062647890 30100271000942 45150406501413 75250677502355 90300813002826 150501355004710 225752032507065 451504065014130