148564768
148,564,768 is an even composite number composed of five prime numbers multiplied together.
148564768 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 148564768:
25 × 112 × 17 × 37 × 61
(2 × 2 × 2 × 2 × 2 × 11 × 11 × 17 × 37 × 61)See below for interesting mathematical facts about the number 148564768 from the Numbermatics database.
Names of 148564768
- Cardinal: 148564768 can be written as One hundred forty-eight million, five hundred sixty-four thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 1.48564768 × 108
Factors of 148564768
Divisors of 148564768
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 4 8 11 16 17 22 32 34 37 44 61 68 74 88 121 122 136 148 176 187 242 244 272 296 352 374 407 484 488 544 592 629 671 748 814 968 976 1037 1184 1258 1342 1496 1628 1936 1952 2057 2074 2257 2516 2684 2992 3256 3872 4114 4148 4477 4514 5032 5368 5984 6512 6919 7381 8228 8296 8954 9028 10064 10736 11407 13024 13838 14762 16456 16592 17908 18056 20128 21472 22814 24827 27676 29524 32912 33184 35816 36112 38369 45628 49654 55352 59048 65824 71632 72224 76109 76738 91256 99308 110704 118096 125477 143264 152218 153476 182512 198616 221408 236192 250954 273097 304436 306952 365024 397232 422059 501908 546194 608872 613904 794464 844118 1003816 1092388 1217744 1227808 1688236 2007632 2184776 2435488 3376472 4015264 4369552 4642649 6752944 8739104 9285298 13505888 18570596 37141192 74282384 148564768
- Sum of all divisors σ(n): 355336632
- Sum of proper divisors (its aliquot sum) s(n): 206771864
- 148564768 is an abundant number, because the sum of its proper divisors (206771864) is greater than itself. Its abundance is 58207096
Bases of 148564768
- Binary: 10001101101011101011001000002
- Hexadecimal: 0x8DAEB20
- Base-36: 2GG9B4
Squares and roots of 148564768
- 148564768 squared (1485647682) is 22071490290893824
- 148564768 cubed (1485647683) is 3279045834480893475192832
-
The
square root of 148564768 is 12188.7147804845 -
The
cube root of 148564768 is 529.6292268533
Scales and comparisons
How big is 148564768?- 148,564,768 seconds is equal to 4 years, 37 weeks, 4 days, 11 hours, 59 minutes, 28 seconds.
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To count from 1 to 148,564,768 would take you about seven years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 148564768 cubic inches would be around 44.1 feet tall.
Recreational maths with 148564768
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