106813016064
106,813,016,064 is an even composite number composed of five prime numbers multiplied together.
106813016064 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 106813016064:
211 × 33 × 17 × 372 × 83
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 17 × 37 × 37 × 83)See below for interesting mathematical facts about the number 106813016064 from the Numbermatics database.
Names of 106813016064
- Cardinal: 106813016064 can be written as One hundred six billion, eight hundred thirteen million, sixteen thousand and sixty-four.
Scientific notation
- Scientific notation: 1.06813016064 × 1011
Factors of 106813016064
Divisors of 106813016064
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 37 48 51 54 64 68 72 74 83 96 102 108 111 128 136 144 148 153 166 192 204 216 222 249 256 272 288 296 306 332 333 384 408 432 444 459 498 512 544 576 592 612 629 664 666 747 768 816 864 888 918 996 999 1024 1088 1152 1184 1224 1258 1328 1332 1369 1411 1494 1536 1632 1728 1776 1836 1887 1992 1998 2048 2176 2241 2304 2368 2448 2516 2656 2664 2738 2822 2988 3071 3072 3264 3456 3552 3672 3774 3984 3996 4107 4233 4352 4482 4608 4736 4896 5032 5312 5328 5476 5644 5661 5976 6142 6144 6528 6912 7104 7344 7548 7968 7992 8214 8466 8704 8964 9213 9216 9472 9792 10064 10624 10656 10952 11288 11322 11952 12284 12321 12699 13056 13824 14208 14688 15096 15936 15984 16428 16932 16983 17408 17928 18426 18432 18944 19584 20128 21248 21312 21904 22576 22644 23273 23904 24568 24642 25398 26112 27639 27648 28416 29376 30192 31872 31968 32856 33864 33966 34816 35856 36852 36963 37888 38097 39168 40256 42496 42624 43808 45152 45288 46546 47808 49136 49284 50796 52207 52224 55278 55296 56832 58752 60384 63744 63936 65712 67728 67932 69819 71712 73704 73926 75776 76194 78336 80512 82917 84992 85248 87616 90304 90576 93092 95616 98272 98568 101592 104414 104448 110556 113627 113664 117504 120768 127488 127872 131424 135456 135864 139638 143424 147408 147852 152388 156621 156672 161024 165834 169984 170496 175232 180608 181152 186184 191232 196544 197136 203184 208828 209457 221112 227254 227328 235008 241536 254976 255744 262848 270912 271728 279276 286848 294816 295704 304776 313242 313344 322048 331668 340881 340992 350464 361216 362304 372368 382464 393088 394272 406368 417656 418914 442224 454508 469863 470016 483072 509952 511488 525696 541824 543456 558552 573696 589632 591408 609552 626484 628371 644096 663336 681762 681984 700928 722432 724608 744736 764928 786176 788544 812736 835312 837828 884448 909016 939726 940032 966144 1022643 1022976 1051392 1083648 1086912 1117104 1147392 1179264 1182816 1219104 1252968 1256742 1288192 1326672 1363524 1401856 1409589 1444864 1449216 1489472 1529856 1572352 1577088 1625472 1670624 1675656 1768896 1818032 1879452 1931659 1932288 2045286 2045952 2102784 2167296 2173824 2234208 2294784 2358528 2365632 2438208 2505936 2513484 2653344 2727048 2803712 2819178 2889728 2898432 2978944 3067929 3144704 3154176 3250944 3341248 3351312 3537792 3636064 3758904 3863318 3864576 4090572 4205568 4334592 4347648 4468416 4589568 4717056 4731264 4876416 5011872 5026968 5306688 5454096 5638356 5794977 5796864 5957888 6135858 6289408 6308352 6501888 6682496 6702624 7075584 7272128 7517808 7726636 8181144 8411136 8669184 8695296 8936832 9434112 9462528 9752832 10023744 10053936 10613376 10908192 11276712 11589954 11593728 11915776 12271716 12616704 13003776 13364992 13405248 14151168 14544256 15035616 15453272 16362288 17384931 17390592 17873664 18868224 18925056 19505664 20047488 20107872 21226752 21816384 22553424 23179908 23831552 24543432 25233408 26007552 26729984 26810496 28302336 29088512 30071232 30906544 32724576 34769862 34781184 35747328 37850112 39011328 40094976 40215744 42453504 43632768 45106848 46359816 47663104 49086864 52154793 53459968 53620992 56604672 58177024 60142464 61813088 65449152 69539724 71494656 75700224 78022656 80189952 80431488 84907008 87265536 90213696 92719632 98173728 104309586 106919936 107241984 116354048 120284928 123626176 130898304 139079448 142989312 160379904 160862976 169814016 174531072 180427392 185439264 196347456 208619172 214483968 232708096 240569856 247252352 261796608 278158896 320759808 321725952 349062144 360854784 370878528 392694912 417238344 428967936 481139712 494504704 523593216 556317792 643451904 698124288 721709568 741757056 785389824 834476688 962279424 989009408 1047186432 1112635584 1286903808 1443419136 1483514112 1570779648 1668953376 1978018816 2094372864 2225271168 2886838272 2967028224 3141559296 3337906752 3956037632 4450542336 5934056448 6283118592 6675813504 8901084672 11868112896 13351627008 17802169344 26703254016 35604338688 53406508032 106813016064
- Sum of all divisors σ(n): 348465499200
- Sum of proper divisors (its aliquot sum) s(n): 241652483136
- 106813016064 is an abundant number, because the sum of its proper divisors (241652483136) is greater than itself. Its abundance is 134839467072
Bases of 106813016064
- Binary: 11000110111101000110101001000000000002
- Hexadecimal: 0x18DE8D4800
- Base-36: 1D2HPMO0
Squares and roots of 106813016064
- 106813016064 squared (1068130160642) is 11409020400688322052096
- 106813016064 cubed (1068130160643) is 1218631879333225460007735492870144
-
The
square root of 106813016064 is 326822.6064151623 -
The
cube root of 106813016064 is 4744.6923697527
Scales and comparisons
How big is 106813016064?- 106,813,016,064 seconds is equal to 3,396 years, 16 weeks, 5 days, 18 hours, 14 minutes, 24 seconds.
-
To count from 1 to 106,813,016,064 would take you about six thousand, seven hundred ninety-two 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 106813016064 cubic inches would be around 395.4 feet tall.
Recreational maths with 106813016064
- 106813016064 backwards is 460610318601
- 106813016064 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 106813016064's digits is 36
- More coming soon!
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