401132945556795168
401,132,945,556,795,168 is an even composite number composed of four prime numbers multiplied together.
What does the number 401132945556795168 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 120 divisors.
401132945556795168 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred twenty divisors.
Prime factorization of 401132945556795168:
25 × 34 × 37 × 4182650833717
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 37 × 4182650833717)See below for interesting mathematical facts about the number 401132945556795168 from the Numbermatics database.
Names of 401132945556795168
- Cardinal: 401132945556795168 can be written as Four hundred one quadrillion, one hundred thirty-two trillion, nine hundred forty-five billion, five hundred fifty-six million, seven hundred ninety-five thousand, one hundred sixty-eight.
Scientific notation
- Scientific notation: 4.01132945556795168 × 1017
Factors of 401132945556795168
- Number of distinct prime factors ω(n): 4
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 4182650833759
Divisors of 401132945556795168
- Number of divisors d(n): 120
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 72 74 81 96 108 111 144 148 162 216 222 288 296 324 333 432 444 592 648 666 864 888 999 1184 1296 1332 1776 1998 2592 2664 2997 3552 3996 5328 5994 7992 10656 11988 15984 23976 31968 47952 95904 4182650833717 8365301667434 12547952501151 16730603334868 25095905002302 33461206669736 37643857503453 50191810004604 66922413339472 75287715006906 100383620009208 112931572510359 133844826678944 150575430013812 154758080847529 200767240018416 225863145020718 301150860027624 309516161695058 338794717531077 401534480036832 451726290041436 464274242542587 602301720055248 619032323390116 677589435062154 903452580082872 928548485085174 1204603440110496 1238064646780232 1355178870124308 1392822727627761 1806905160165744 1857096970170348 2476129293560464 2710357740248616 2785645455255522 3613810320331488 3714193940340696 4178468182883283 4952258587120928 5420715480497232 5571290910511044 7428387880681392 8356936365766566 10841430960994464 11142581821022088 12535404548649849 14856775761362784 16713872731533132 22285163642044176 25070809097299698 33427745463066264 44570327284088352 50141618194599396 66855490926132528 100283236389198792 133710981852265056 200566472778397584 401132945556795168
- Sum of all divisors σ(n): 1211605197606427932
- Sum of proper divisors (its aliquot sum) s(n): 810472252049632764
- 401132945556795168 is an abundant number, because the sum of its proper divisors (810472252049632764) is greater than itself. Its abundance is 409339306492837596
Bases of 401132945556795168
- Binary: 101100100010001110001001001111001111001111001101111001000002
- Hexadecimal: 0x5911C49E79E6F20
- Base-36: 31PPRF7AS200
Squares and roots of 401132945556795168
- 401132945556795168 squared (4011329455567951682) is 160907640011070796313240379108148224
- 401132945556795168 cubed (4011329455567951683) is 64545355600233257581072941657692428099544760550981632
-
The
square root of 401132945556795168 is 633350570.8190331837 -
The
cube root of 401132945556795168 is 737501.2785157851
Scales and comparisons
How big is 401132945556795168?- 401,132,945,556,795,168 seconds is equal to 12,754,786,883 years, 1 week, 6 days, 20 hours, 52 minutes, 48 seconds.
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To count from 1 to 401,132,945,556,795,168 would take you about thirty-eight billion, two hundred sixty-four million, three hundred sixty thousand, six hundred forty-nine 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 401132945556795168 cubic inches would be around 61458.4 feet tall.
Recreational maths with 401132945556795168
- 401132945556795168 backwards is 861597655549231104
- 401132945556795168 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 401132945556795168's digits is 81
- More coming soon!
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