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

bin | 111111000010100111101… |

… | …011001010101100100000 |

3 | 120100011000021222021200022 |

4 | 333002213223022230200 |

5 | 1031434210334123230 |

6 | 13114054022013012 |

7 | 624662320443422 |

oct | 77024753125440 |

9 | 16304007867608 |

10 | 4332140145440 |

11 | 142028319a938 |

12 | 59b720b77168 |

13 | 2556994c5083 |

14 | 10d968c26812 |

15 | 77a500da1e5 |

hex | 3f0a7acab20 |

4332140145440 has 72 divisors (see below), whose sum is σ = 10411091758620. Its totient is φ = 1703485397504.

The previous prime is 4332140145439. The next prime is 4332140145451. The reversal of 4332140145440 is 445410412334.

Adding to 4332140145440 its reverse (445410412334), we get a palindrome (4777550557774).

It is a happy number.

4332140145440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4234063443856 + 98076701584 = 2057684^2 + 313172^2 .

It is a self number, because there is not a number *n* which added to its sum of digits gives 4332140145440.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3332135 + ... + 4446054.

Almost surely, 2^{4332140145440} is an apocalyptic number.

4332140145440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4332140145440 is an abundant number, since it is smaller than the sum of its proper divisors (6078951613180).

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

4332140145440 is an equidigital number, since it uses as much as digits as its factorization.

4332140145440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7778322 (or 7778255 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

The spelling of 4332140145440 in words is "four trillion, three hundred thirty-two billion, one hundred forty million, one hundred forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 80 118 160 236 295 472 590 944 1180 1888 2360 3481 4720 6962 9440 13924 17405 27848 34810 55696 69620 111392 139240 278480 556960 7778189 15556378 31112756 38890945 62225512 77781890 124451024 155563780 248902048 311127560 458913151 622255120 917826302 1244510240 1835652604 2294565755 3671305208 4589131510 7342610416 9178263020 14685220832 18356526040 27075875909 36713052080 54151751818 73426104160 108303503636 135379379545 216607007272 270758759090 433214014544 541517518180 866428029088 1083035036360 2166070072720 4332140145440

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