401378328
401,378,328 is an even composite number composed of six prime numbers multiplied together.
401378328 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 401378328:
23 × 34 × 13 × 29 × 31 × 53
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 13 × 29 × 31 × 53)See below for interesting mathematical facts about the number 401378328 from the Numbermatics database.
Names of 401378328
- Cardinal: 401378328 can be written as Four hundred one million, three hundred seventy-eight thousand, three hundred twenty-eight.
Scientific notation
- Scientific notation: 4.01378328 × 108
Factors of 401378328
Divisors of 401378328
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 18 24 26 27 29 31 36 39 52 53 54 58 62 72 78 81 87 93 104 106 108 116 117 124 156 159 162 174 186 212 216 232 234 248 261 279 312 318 324 348 351 372 377 403 424 468 477 522 558 636 648 689 696 702 744 754 783 806 837 899 936 954 1044 1053 1116 1131 1209 1272 1378 1404 1431 1508 1537 1566 1612 1643 1674 1798 1908 2067 2088 2106 2232 2262 2349 2418 2511 2697 2756 2808 2862 3016 3074 3132 3224 3286 3348 3393 3596 3627 3816 4134 4212 4293 4524 4611 4698 4836 4929 5022 5394 5512 5724 6148 6201 6264 6572 6696 6786 7192 7254 8091 8268 8424 8586 9048 9222 9396 9672 9858 10044 10179 10788 10881 11448 11687 12296 12402 13144 13572 13833 14508 14787 16182 16536 17172 18444 18603 18792 19716 19981 20088 20358 21359 21576 21762 23374 24273 24804 27144 27666 29016 29574 30537 32364 32643 34344 35061 36888 37206 39432 39962 40716 41499 42718 43524 44361 46748 47647 48546 49608 55332 55809 59148 59943 61074 64077 64728 65286 70122 72819 74412 79924 81432 82998 85436 87048 88722 93496 95294 97092 105183 110664 111618 118296 119886 122148 124497 128154 130572 133083 140244 142941 145638 148824 159848 165996 170872 177444 179829 190588 192231 194184 210366 223236 239772 244296 248994 256308 261144 266166 280488 285882 291276 315549 331992 354888 359658 381176 384462 420732 428823 446472 479544 497988 512616 532332 539487 571764 576693 582552 619411 631098 719316 768924 841464 857646 946647 995976 1064664 1078974 1143528 1153386 1238822 1262196 1286469 1438632 1537848 1618461 1715292 1730079 1858233 1893294 2157948 2306772 2477644 2524392 2572938 3236922 3430584 3460158 3716466 3786588 3859407 4315896 4613544 4955288 5145876 5574699 6473844 6920316 7432932 7573176 7718814 10291752 11149398 12947688 13840632 14865864 15437628 16724097 22298796 30875256 33448194 44597592 50172291 66896388 100344582 133792776 200689164 401378328
- Sum of all divisors σ(n): 1317254400
- Sum of proper divisors (its aliquot sum) s(n): 915876072
- 401378328 is an abundant number, because the sum of its proper divisors (915876072) is greater than itself. Its abundance is 514497744
Bases of 401378328
- Binary: 101111110110010001100000110002
- Hexadecimal: 0x17EC8C18
- Base-36: 6MYXI0
Squares and roots of 401378328
- 401378328 squared (4013783282) is 161104562188075584
- 401378328 cubed (4013783283) is 64663879804221799443543552
-
The
square root of 401378328 is 20034.4285668447 -
The
cube root of 401378328 is 737.6516301461
Scales and comparisons
How big is 401378328?- 401,378,328 seconds is equal to 12 years, 39 weeks, 4 days, 13 hours, 58 minutes, 48 seconds.
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To count from 1 to 401,378,328 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 401378328 cubic inches would be around 61.5 feet tall.
Recreational maths with 401378328
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"Number 401378328 - Facts about the integer". Numbermatics.com. 2024. Web. 15 May 2024.
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