Search a number
-
+
1146316145105 = 547173109725703
BaseRepresentation
bin10000101011100101110…
…001000100000111010001
311001120211202001201110102
4100223211301010013101
5122240123413120410
62234335501142145
7145550532315365
oct20534561040721
94046752051412
101146316145105
1140217164136a
121661b6b5a955
1384135587cb1
143d6a685b2a5
151ec41c1d2a5
hex10ae5c441d1

1146316145105 has 32 divisors (see below), whose sum is σ = 1414310575104. Its totient is φ = 891504918016.

The previous prime is 1146316145077. The next prime is 1146316145113. The reversal of 1146316145105 is 5015416136411.

It is a cyclic number.

It is not a de Polignac number, because 1146316145105 - 234 = 1129136275921 is a prime.

It is a super-2 number, since 2×11463161451052 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44585684 + ... + 44611386.

It is an arithmetic number, because the mean of its divisors is an integer number (44197205472).

Almost surely, 21146316145105 is an apocalyptic number.

It is an amenable number.

1146316145105 is a deficient number, since it is larger than the sum of its proper divisors (267994429999).

1146316145105 is a wasteful number, since it uses less digits than its factorization.

1146316145105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27025.

The product of its (nonzero) digits is 43200, while the sum is 38.

The spelling of 1146316145105 in words is "one trillion, one hundred forty-six billion, three hundred sixteen million, one hundred forty-five thousand, one hundred five".

Divisors: 1 5 47 173 235 865 1097 5485 8131 25703 40655 51559 128515 189781 257795 948905 1208041 4446619 6040205 8919707 22233095 28196191 44598535 140980955 208991093 1044955465 1325220977 4877941043 6626104885 24389705215 229263229021 1146316145105