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34144355215144 = 2336723574934047
BaseRepresentation
bin1111100001101110110100…
…01010011110011100101000
311110220011112211012012012001
413300313122022132130220
513433410114413341034
6200341411130300344
710122563644443016
oct760673212363450
9143804484165161
1034144355215144
11a9745a3417419
1239b54a35876b4
131608a501ac245
1486084a4d58b6
153e328dee4a14
hex1f0dda29e728

34144355215144 has 32 divisors (see below), whose sum is σ = 64222358215680. Its totient is φ = 17018432518464.

The previous prime is 34144355215123. The next prime is 34144355215163. The reversal of 34144355215144 is 44151255344143.

It is a junction number, because it is equal to n+sod(n) for n = 34144355215094 and 34144355215103.

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, 4453129 + ... + 9387175.

It is an arithmetic number, because the mean of its divisors is an integer number (2006948694240).

Almost surely, 234144355215144 is an apocalyptic number.

It is an amenable number.

34144355215144 is a deficient number, since it is larger than the sum of its proper divisors (30078003000536).

34144355215144 is a wasteful number, since it uses less digits than its factorization.

34144355215144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4936777 (or 4936773 counting only the distinct ones).

The product of its digits is 2304000, while the sum is 46.

The spelling of 34144355215144 in words is "thirty-four trillion, one hundred forty-four billion, three hundred fifty-five million, two hundred fifteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 367 734 1468 2357 2936 4714 9428 18856 865019 1730038 3460076 4934047 6920152 9868094 19736188 39472376 1810795249 3621590498 7243180996 11629548779 14486361992 23259097558 46518195116 93036390232 4268044401893 8536088803786 17072177607572 34144355215144