401425920
401,425,920 is an even composite number composed of six prime numbers multiplied together.
401425920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 401425920:
29 × 32 × 5 × 7 × 19 × 131
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 19 × 131)See below for interesting mathematical facts about the number 401425920 from the Numbermatics database.
Names of 401425920
- Cardinal: 401425920 can be written as Four hundred one million, four hundred twenty-five thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 4.0142592 × 108
Factors of 401425920
Divisors of 401425920
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 24 28 30 32 35 36 38 40 42 45 48 56 57 60 63 64 70 72 76 80 84 90 95 96 105 112 114 120 126 128 131 133 140 144 152 160 168 171 180 190 192 210 224 228 240 252 256 262 266 280 285 288 304 315 320 336 342 360 380 384 393 399 420 448 456 480 504 512 524 532 560 570 576 608 630 640 655 665 672 684 720 760 768 786 798 840 855 896 912 917 960 1008 1048 1064 1120 1140 1152 1179 1197 1216 1260 1280 1310 1330 1344 1368 1440 1520 1536 1572 1596 1680 1710 1792 1824 1834 1920 1965 1995 2016 2096 2128 2240 2280 2304 2358 2394 2432 2489 2520 2560 2620 2660 2688 2736 2751 2880 3040 3144 3192 3360 3420 3584 3648 3668 3840 3930 3990 4032 4192 4256 4480 4560 4585 4608 4716 4788 4864 4978 5040 5240 5320 5376 5472 5502 5760 5895 5985 6080 6288 6384 6720 6840 7296 7336 7467 7680 7860 7980 8064 8253 8384 8512 8960 9120 9170 9432 9576 9728 9956 10080 10480 10640 10752 10944 11004 11520 11790 11970 12160 12445 12576 12768 13440 13680 13755 14592 14672 14934 15720 15960 16128 16506 16768 17024 17423 17920 18240 18340 18864 19152 19912 20160 20960 21280 21888 22008 22401 23040 23580 23940 24320 24890 25152 25536 26880 27360 27510 29184 29344 29868 31440 31920 32256 33012 33536 34048 34846 36480 36680 37335 37728 38304 39824 40320 41265 41920 42560 43776 44016 44802 47160 47880 48640 49780 50304 51072 52269 53760 54720 55020 58688 59736 62880 63840 66024 67072 68096 69692 72960 73360 74670 75456 76608 79648 80640 82530 83840 85120 87115 87552 88032 89604 94320 95760 99560 100608 102144 104538 109440 110040 112005 117376 119472 125760 127680 132048 139384 145920 146720 149340 150912 153216 156807 159296 161280 165060 167680 170240 174230 176064 179208 188640 191520 199120 201216 204288 209076 218880 220080 224010 234752 238944 251520 255360 261345 264096 278768 293440 298680 301824 306432 313614 318592 330120 335360 340480 348460 352128 358416 377280 383040 398240 418152 437760 440160 448020 469504 477888 503040 510720 522690 528192 557536 586880 597360 603648 612864 627228 637184 660240 696920 704256 716832 754560 766080 784035 796480 836304 880320 896040 955776 1006080 1021440 1045380 1056384 1115072 1173760 1194720 1254456 1274368 1320480 1393840 1408512 1433664 1509120 1532160 1568070 1592960 1672608 1760640 1792080 1911552 2090760 2112768 2230144 2347520 2389440 2508912 2640960 2787680 2867328 3018240 3064320 3136140 3185920 3345216 3521280 3584160 3823104 4181520 4225536 4460288 4778880 5017824 5281920 5575360 5734656 6272280 6371840 6690432 7042560 7168320 8363040 8920576 9557760 10035648 10563840 11150720 11469312 12544560 13380864 14336640 16726080 19115520 20071296 21127680 22301440 25089120 26761728 28673280 33452160 40142592 44602880 50178240 57346560 66904320 80285184 100356480 133808640 200712960 401425920
- Sum of all divisors σ(n): 1685249280
- Sum of proper divisors (its aliquot sum) s(n): 1283823360
- 401425920 is an abundant number, because the sum of its proper divisors (1283823360) is greater than itself. Its abundance is 882397440
Bases of 401425920
- Binary: 101111110110101000110000000002
- Hexadecimal: 0x17ED4600
- Base-36: 6MZY80
Squares and roots of 401425920
- 401425920 squared (4014259202) is 161142769247846400
- 401425920 cubed (4014259203) is 64686884396664449138688000
-
The
square root of 401425920 is 20035.6162870025 -
The
cube root of 401425920 is 737.6807837953
Scales and comparisons
How big is 401425920?- 401,425,920 seconds is equal to 12 years, 39 weeks, 5 days, 3 hours, 12 minutes.
-
To count from 1 to 401,425,920 would take you about nineteen 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 401425920 cubic inches would be around 61.5 feet tall.
Recreational maths with 401425920
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