106828070304
106,828,070,304 is an even composite number composed of seven prime numbers multiplied together.
106828070304 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 106828070304:
25 × 3 × 19 × 31 × 43 × 53 × 829
(2 × 2 × 2 × 2 × 2 × 3 × 19 × 31 × 43 × 53 × 829)See below for interesting mathematical facts about the number 106828070304 from the Numbermatics database.
Names of 106828070304
- Cardinal: 106828070304 can be written as One hundred six billion, eight hundred twenty-eight million, seventy thousand, three hundred four.
Scientific notation
- Scientific notation: 1.06828070304 × 1011
Factors of 106828070304
Divisors of 106828070304
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 6 8 12 16 19 24 31 32 38 43 48 53 57 62 76 86 93 96 106 114 124 129 152 159 172 186 212 228 248 258 304 318 344 372 424 456 496 516 589 608 636 688 744 817 829 848 912 992 1007 1032 1178 1272 1333 1376 1488 1634 1643 1658 1696 1767 1824 2014 2064 2279 2356 2451 2487 2544 2666 2976 3021 3268 3286 3316 3534 3999 4028 4128 4558 4712 4902 4929 4974 5088 5332 6042 6536 6572 6632 6837 7068 7998 8056 9116 9424 9804 9858 9948 10664 12084 13072 13144 13264 13674 14136 15751 15996 16112 18232 18848 19608 19716 19896 21328 24168 25327 25699 26144 26288 26528 27348 28272 31217 31502 31992 32224 35647 36464 39216 39432 39792 42656 43301 43937 47253 48336 50654 51398 52576 54696 56544 62434 63004 63984 70649 71294 72928 75981 77097 78432 78864 79584 86602 87874 93651 94506 96672 101308 102796 106941 109392 124868 126008 127968 129903 131811 141298 142588 151962 154194 157728 173204 175748 187302 189012 202616 205592 211947 213882 218784 249736 252016 259806 263622 282596 285176 303924 308388 346408 351496 374604 378024 405232 411184 423894 427764 488281 499472 504032 519612 527244 565192 570352 607848 616776 677293 692816 702992 749208 756048 810464 822368 834803 847788 855528 976562 998944 1039224 1054488 1105057 1130384 1140704 1215696 1233552 1342331 1354586 1362047 1385632 1405984 1464843 1498416 1512096 1669606 1695576 1711056 1889291 1953124 2031879 2078448 2108976 2210114 2260768 2431392 2467104 2504409 2684662 2709172 2724094 2929686 2996832 3315171 3339212 3391152 3422112 3778582 3906248 4026993 4063758 4086141 4156896 4217952 4420228 5008818 5369324 5418344 5448188 5667873 5859372 6630342 6678424 6782304 7557164 7812496 8053986 8127516 8172282 8840456 10017636 10738648 10836688 10896376 11335746 11718744 13260684 13356848 15114328 15624992 16107972 16255032 16344564 17680912 20035272 20996083 21477296 21673376 21792752 22671492 23437488 25878893 26521368 26713696 30228656 32215944 32510064 32689128 35361824 35896529 40070544 41992166 42954592 43585504 45342984 46874976 51757786 53042736 58568021 60457312 62988249 64431888 65020128 65378256 71793058 77636679 80141088 83984332 90685968 103515572 106085472 107689587 117136042 125976498 128863776 130756512 143586116 155273358 167968664 175704063 181371936 207031144 215379174 234272084 251952996 287172232 310546716 335937328 351408126 414062288 430758348 468544168 503905992 574344464 621093432 671874656 702816252 828124576 861516696 937088336 1007811984 1112792399 1148688928 1242186864 1405632504 1723033392 1874176672 2015623968 2225584798 2484373728 2811265008 3338377197 3446066784 4451169596 5622530016 6676754394 8902339192 13353508788 17804678384 26707017576 35609356768 53414035152 106828070304
- Sum of all divisors σ(n): 318057062400
- Sum of proper divisors (its aliquot sum) s(n): 211228992096
- 106828070304 is an abundant number, because the sum of its proper divisors (211228992096) is greater than itself. Its abundance is 104400921792
Bases of 106828070304
- Binary: 11000110111110111001011111101101000002
- Hexadecimal: 0x18DF72FDA0
- Base-36: 1D2QOALC
Squares and roots of 106828070304
- 106828070304 squared (1068280703042) is 11412236604876366652416
- 106828070304 cubed (1068280703043) is 1219147214351614765972377579454464
-
The
square root of 106828070304 is 326845.6368134659 -
The
cube root of 106828070304 is 4744.9152651291
Scales and comparisons
How big is 106828070304?- 106,828,070,304 seconds is equal to 3,396 years, 41 weeks, 4 days, 23 hours, 58 minutes, 24 seconds.
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To count from 1 to 106,828,070,304 would take you about six thousand, seven hundred ninety-three 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 106828070304 cubic inches would be around 395.4 feet tall.
Recreational maths with 106828070304
- 106828070304 backwards is 403070828601
- The number of decimal digits it has is: 12
- The sum of 106828070304's digits is 39
- More coming soon!
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