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

bin | 10010000000000… |

… | …00000000000000 |

3 | 101112010100010100 |

4 | 21000000000000 |

5 | 302123314234 |

6 | 22552202400 |

7 | 3512302332 |

oct | 1100000000 |

9 | 345110110 |

10 | 150994944 |

11 | 78261811 |

12 | 42699400 |

13 | 25389a29 |

14 | 160a7452 |

15 | d3c9399 |

hex | 9000000 |

150994944 has 75 divisors (see below), whose sum is σ = 436207603. Its totient is φ = 50331648.

The previous prime is 150994939. The next prime is 150994979. The reversal of 150994944 is 449499051.

The square root of 150994944 is 12288.

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

It is a Jordan-Polya number, since it can be written as (4!)^{2} ⋅ (2!)^{18}.

150994944 is a *`hidden beast`* number, since 150 + 9 + 9 + 494 + 4 = 666.

It is a super-2 number, since 2×150994944^{2} = 45598946227126272, which contains 22 as substring.

It is a Duffinian number.

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

It is a zygodrome in base 8.

It is a self number, because there is not a number *n* which added to its sum of digits gives 150994944.

It is an unprimeable number.

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

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 50331647 + 50331648 + 50331649.

Almost surely, 2^{150994944} is an apocalyptic number.

150994944 is the 12288-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150994944

150994944 is an abundant number, since it is smaller than the sum of its proper divisors (285212659).

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

150994944 is an frugal number, since it uses more digits than its factorization.

150994944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The cubic root of 150994944 is about 532.5014587013.

The spelling of 150994944 in words is "one hundred fifty million, nine hundred ninety-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4608 6144 8192 9216 12288 16384 18432 24576 32768 36864 49152 65536 73728 98304 131072 147456 196608 262144 294912 393216 524288 589824 786432 1048576 1179648 1572864 2097152 2359296 3145728 4194304 4718592 6291456 8388608 9437184 12582912 16777216 18874368 25165824 37748736 50331648 75497472 150994944

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