148137984
148,137,984 is an even composite number composed of four prime numbers multiplied together.
148137984 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 148137984:
211 × 34 × 19 × 47
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 19 × 47)See below for interesting mathematical facts about the number 148137984 from the Numbermatics database.
Names of 148137984
- Cardinal: 148137984 can be written as One hundred forty-eight million, one hundred thirty-seven thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 1.48137984 × 108
Factors of 148137984
Divisors of 148137984
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 47 48 54 57 64 72 76 81 94 96 108 114 128 141 144 152 162 171 188 192 216 228 256 282 288 304 324 342 376 384 423 432 456 512 513 564 576 608 648 684 752 768 846 864 893 912 1024 1026 1128 1152 1216 1269 1296 1368 1504 1536 1539 1692 1728 1786 1824 2048 2052 2256 2304 2432 2538 2592 2679 2736 3008 3072 3078 3384 3456 3572 3648 3807 4104 4512 4608 4864 5076 5184 5358 5472 6016 6144 6156 6768 6912 7144 7296 7614 8037 8208 9024 9216 9728 10152 10368 10716 10944 12032 12312 13536 13824 14288 14592 15228 16074 16416 18048 18432 19456 20304 20736 21432 21888 24064 24111 24624 27072 27648 28576 29184 30456 32148 32832 36096 38912 40608 41472 42864 43776 48128 48222 49248 54144 55296 57152 58368 60912 64296 65664 72192 72333 81216 82944 85728 87552 96256 96444 98496 108288 114304 116736 121824 128592 131328 144384 144666 162432 165888 171456 175104 192888 196992 216576 228608 243648 257184 262656 288768 289332 324864 342912 350208 385776 393984 433152 457216 487296 514368 525312 578664 649728 685824 771552 787968 866304 914432 974592 1028736 1050624 1157328 1299456 1371648 1543104 1575936 1828864 1949184 2057472 2314656 2598912 2743296 3086208 3151872 3898368 4114944 4629312 5486592 6172416 7796736 8229888 9258624 12344832 16459776 18517248 24689664 37034496 49379328 74068992 148137984
- Sum of all divisors σ(n): 475675200
- Sum of proper divisors (its aliquot sum) s(n): 327537216
- 148137984 is an abundant number, because the sum of its proper divisors (327537216) is greater than itself. Its abundance is 179399232
Bases of 148137984
- Binary: 10001101010001101000000000002
- Hexadecimal: 0x8D46800
- Base-36: 2G7400
Squares and roots of 148137984
- 148137984 squared (1481379842) is 21944862303584256
- 148137984 cubed (1481379843) is 3250867660810567657979904
-
The
square root of 148137984 is 12171.1948468505 -
The
cube root of 148137984 is 529.1215827781
Scales and comparisons
How big is 148137984?- 148,137,984 seconds is equal to 4 years, 36 weeks, 6 days, 13 hours, 26 minutes, 24 seconds.
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To count from 1 to 148,137,984 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 148137984 cubic inches would be around 44.1 feet tall.
Recreational maths with 148137984
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