40946768760768
40,946,768,760,768 is an even composite number composed of seven prime numbers multiplied together.
40946768760768 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 40946768760768:
26 × 3 × 13 × 19 × 53 × 1439 × 11321
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 13 × 19 × 53 × 1439 × 11321)See below for interesting mathematical facts about the number 40946768760768 from the Numbermatics database.
Names of 40946768760768
- Cardinal: 40946768760768 can be written as Forty trillion, nine hundred forty-six billion, seven hundred sixty-eight million, seven hundred sixty thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 4.0946768760768 × 1013
Factors of 40946768760768
Divisors of 40946768760768
- Number of divisors d(n): 448
-
Complete list of divisors:
1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 53 57 64 76 78 96 104 106 114 152 156 159 192 208 212 228 247 304 312 318 416 424 456 494 608 624 636 689 741 832 848 912 988 1007 1216 1248 1272 1378 1439 1482 1696 1824 1976 2014 2067 2496 2544 2756 2878 2964 3021 3392 3648 3952 4028 4134 4317 5088 5512 5756 5928 6042 7904 8056 8268 8634 10176 11024 11321 11512 11856 12084 13091 15808 16112 16536 17268 18707 22048 22642 23024 23712 24168 26182 27341 32224 33072 33963 34536 37414 39273 44096 45284 46048 47424 48336 52364 54682 56121 64448 66144 67926 69072 74828 76267 78546 82023 90568 92096 96672 104728 109364 112242 132288 135852 138144 147173 149656 152534 157092 164046 181136 193344 209456 215099 218728 224484 228801 271704 276288 294346 299312 305068 314184 328092 355433 362272 418912 430198 437456 441519 448968 457602 543408 588692 598624 600013 610136 628368 645297 656184 710866 724544 837824 860396 874912 883038 897936 915204 991471 1066299 1086816 1177384 1197248 1200026 1220272 1256736 1290594 1312368 1421732 1449073 1720792 1749824 1766076 1795872 1800039 1830408 1982942 2132598 2173632 2354768 2400052 2440544 2513472 2581188 2624736 2796287 2843464 2898146 2974413 3441584 3532152 3591744 3600078 3660816 3965884 4265196 4347219 4709536 4800104 4881088 5162376 5249472 5592574 5686928 5796292 5948826 6883168 7064304 7200156 7321632 7800169 7931768 8388861 8530392 8694438 9419072 9600208 10324752 11185148 11373856 11400247 11592584 11897652 13766336 14128608 14400312 14643264 15600338 15863536 16290919 16777722 17060784 17388876 18837949 19200416 20649504 22370296 22747712 22800494 23185168 23400507 23795304 28257216 28800624 31200676 31727072 32581838 33555444 34121568 34200741 34777752 37675898 38400832 41299008 44740592 45600988 46370336 46801014 47590608 48872757 56513847 57601248 62401352 63454144 65163676 67110888 68243136 68401482 69555504 75351796 89481184 91201976 92740672 93602028 95181216 97745514 113027694 115202496 124802704 130327352 134221776 136802964 139111008 148203211 150703592 178962368 182403952 187204056 190362432 195491028 211781947 226055388 249605408 260654704 268443552 273605928 278222016 296406422 301407184 309527461 364807904 374408112 390982056 423563894 444609633 452110776 499210816 521309408 536887104 547211856 592812844 602814368 619054922 635345841 729615808 748816224 781964112 847127788 863418707 889219266 904221552 928582383 1042618816 1094423712 1185625688 1205628736 1238109844 1270691682 1497632448 1563928224 1694255576 1726837414 1778438532 1808443104 1857164766 2188847424 2371251376 2476219688 2541383364 2590256121 3127856448 3388511152 3453674828 3556877064 3616886208 3714329532 4023856993 4742502752 4952439376 5082766728 5180512242 6777022304 6907349656 7113754128 7428659064 8047713986 9485005504 9904878752 10165533456 10361024484 11224443191 12071570979 13554044608 13814699312 14227508256 14857318128 16095427972 16404955433 19809757504 20331066912 20722048968 22448886382 24143141958 27629398624 28455016512 29714636256 32190855944 32809910866 33673329573 40662133824 41444097936 44897772764 48286283916 49214866299 55258797248 59429272512 64381711888 65619821732 67346659146 82888195872 89795545528 96572567832 98429732598 128763423776 131239643464 134693318292 165776391744 179591091056 193145135664 196859465196 213264420629 257526847552 262479286928 269386636584 359182182112 386290271328 393718930392 426528841258 524958573856 538773273168 639793261887 718364364224 772580542656 787437860784 853057682516 1049917147712 1077546546336 1279586523774 1574875721568 1706115365032 2155093092672 2559173047548 3149751443136 3412230730064 5118346095096 6824461460128 10236692190192 13648922920256 20473384380384 40946768760768
- Sum of all divisors σ(n): 125227913932800
- Sum of proper divisors (its aliquot sum) s(n): 84281145172032
- 40946768760768 is an abundant number, because the sum of its proper divisors (84281145172032) is greater than itself. Its abundance is 43334376411264
Bases of 40946768760768
- Binary: 10010100111101101010011001101101001111110000002
- Hexadecimal: 0x253DA99B4FC0
- Base-36: EIIOOWM2O
Squares and roots of 40946768760768
- 40946768760768 squared (409467687607682) is 1676637871947806174415949824
- 40946768760768 cubed (409467687607683) is 68652903238192968098766040641042147704832
-
The
square root of 40946768760768 is 6398966.2259436875 -
The
cube root of 40946768760768 is 34467.2429427573
Scales and comparisons
How big is 40946768760768?- 40,946,768,760,768 seconds is equal to 1,301,980 years, 30 weeks, 4 days, 17 hours, 32 minutes, 48 seconds.
-
To count from 1 to 40,946,768,760,768 would take you about three million, two hundred fifty-four thousand, nine hundred fifty-one 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 40946768760768 cubic inches would be around 2872.3 feet tall.
Recreational maths with 40946768760768
- 40946768760768 backwards is 86706786764904
- 40946768760768 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 40946768760768's digits is 78
- More coming soon!
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