Base | Representation |
---|---|

bin | 1100000000000000000000000… |

… | …0000000000000000000000000 |

3 | 11002201212020100021011020102010 |

4 | 3000000000000000000000000 |

5 | 1341140024224103210333 |

6 | 12151535242455452520 |

7 | 342602454650323263 |

oct | 30000000000000000 |

9 | 4081766307136363 |

10 | 844424930131968 |

11 | 225072668a46479 |

12 | 7a85b260687140 |

13 | 2a323c106acaa3 |

14 | 10c7455582acda |

15 | 679566c2ed563 |

hex | 3000000000000 |

844424930131968 has 98 divisors (see below), whose sum is σ = 2251799813685244. Its totient is φ = 281474976710656.

The previous prime is 844424930131963. The next prime is 844424930132057. The reversal of 844424930131968 is 869131039424448.

It is a Jordan-Polya number, since it can be written as 4! ⋅ (2!)^{45}.

It is an ABA number since it can be written as A⋅B^{A}, here for A=3, B=65536.

It is a nialpdrome in base 2, base 4, base 8 and base 16.

It is a zygodrome in base 2.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 844424930131899 and 844424930131908.

It is not an unprimeable number, because it can be changed into a prime (844424930131961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

In principle, a polygon with 844424930131968 sides can be constructed with ruler and compass.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 281474976710655 + 281474976710656 + 281474976710657.

Almost surely, 2^{844424930131968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 844424930131968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125899906842622).

844424930131968 is an abundant number, since it is smaller than the sum of its proper divisors (1407374883553276).

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

844424930131968 is an frugal number, since it uses more digits than its factorization.

844424930131968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 143327232, while the sum is 66.

The spelling of 844424930131968 in words is "eight hundred forty-four trillion, four hundred twenty-four billion, nine hundred thirty million, one hundred thirty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 6144 8192 12288 16384 24576 32768 49152 65536 98304 131072 196608 262144 393216 524288 786432 1048576 1572864 2097152 3145728 4194304 6291456 8388608 12582912 16777216 25165824 33554432 50331648 67108864 100663296 134217728 201326592 268435456 402653184 536870912 805306368 1073741824 1610612736 2147483648 3221225472 4294967296 6442450944 8589934592 12884901888 17179869184 25769803776 34359738368 51539607552 68719476736 103079215104 137438953472 206158430208 274877906944 412316860416 549755813888 824633720832 1099511627776 1649267441664 2199023255552 3298534883328 4398046511104 6597069766656 8796093022208 13194139533312 17592186044416 26388279066624 35184372088832 52776558133248 70368744177664 105553116266496 140737488355328 211106232532992 281474976710656 422212465065984 844424930131968

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