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

bin | 101010101001111001111… |

… | …111111100100101100001 |

3 | 101101012222101012221110000 |

4 | 222221321333330211201 |

5 | 341011111403032431 |

6 | 10122325323330213 |

7 | 421526141113224 |

oct | 52517177744541 |

9 | 11335871187400 |

10 | 2931214502241 |

11 | a30137196173 |

12 | 3b4109980969 |

13 | 183548bb693c |

14 | a1c2b7075bb |

15 | 513aaa859e6 |

hex | 2aa79ffc961 |

2931214502241 has 45 divisors (see below), whose sum is σ = 4407246740259. Its totient is φ = 1941497586000.

The previous prime is 2931214502233. The next prime is 2931214502243. The reversal of 2931214502241 is 1422054121392.

The square root of 2931214502241 is 1712079.

It is a perfect power (a square), and thus also a powerful number.

2931214502241 is a *`hidden beast`* number, since 2 + 9 + 3 + 121 + 4 + 502 + 24 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 32299637841 + 2898914864400 = 179721^2 + 1702620^2 .

It is not a de Polignac number, because 2931214502241 - 2^{3} = 2931214502233 is a prime.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 2931214502196 and 2931214502205.

It is not an unprimeable number, because it can be changed into a prime (2931214502243) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2788976166 + ... + 2788977216.

Almost surely, 2^{2931214502241} is an apocalyptic number.

2931214502241 is the 1712079-th square number.

2931214502241 is the 856040-th centered octagonal number.

It is an amenable number.

2931214502241 is a deficient number, since it is larger than the sum of its proper divisors (1476032238018).

2931214502241 is an frugal number, since it uses more digits than its factorization.

2931214502241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2476 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Multiplying 2931214502241 by its sum of digits (36), we get a square (105523722080676 = 10272474^{2}).

The spelling of 2931214502241 in words is "two trillion, nine hundred thirty-one billion, two hundred fourteen million, five hundred two thousand, two hundred forty-one".

Divisors: 1 3 9 27 81 181 543 1051 1629 3153 4887 9459 14661 28377 32761 85131 98283 190231 294849 570693 884547 1104601 1712079 2653641 3313803 5136237 9941409 15408711 29824227 34431811 89472681 103295433 199932781 309886299 599798343 929658897 1799395029 2788976691 5398185087 16194555261 36187833361 108563500083 325690500249 977071500747 2931214502241

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