13125503664
13,125,503,664 is an even composite number composed of seven prime numbers multiplied together.
13125503664 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 13125503664:
24 × 32 × 7 × 13 × 31 × 79 × 409
(2 × 2 × 2 × 2 × 3 × 3 × 7 × 13 × 31 × 79 × 409)See below for interesting mathematical facts about the number 13125503664 from the Numbermatics database.
Names of 13125503664
- Cardinal: 13125503664 can be written as Thirteen billion, one hundred twenty-five million, five hundred three thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 1.3125503664 × 1010
Factors of 13125503664
Divisors of 13125503664
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 31 36 39 42 48 52 56 62 63 72 78 79 84 91 93 104 112 117 124 126 144 156 158 168 182 186 208 217 234 237 248 252 273 279 312 316 336 364 372 403 409 434 468 474 496 504 546 553 558 624 632 651 711 728 744 806 818 819 868 936 948 1008 1027 1092 1106 1116 1209 1227 1264 1302 1422 1456 1488 1612 1636 1638 1659 1736 1872 1896 1953 2054 2184 2212 2232 2418 2449 2454 2604 2821 2844 2863 3081 3224 3272 3276 3318 3472 3627 3681 3792 3906 4108 4368 4424 4464 4836 4898 4908 4977 5208 5317 5642 5688 5726 6162 6448 6544 6552 6636 7189 7254 7347 7362 7812 8216 8463 8589 8848 9243 9672 9796 9816 9954 10416 10634 11284 11376 11452 12324 12679 13104 13272 14378 14508 14694 14724 15624 15951 16432 16926 17143 17178 18486 19344 19592 19632 19908 21268 21567 22041 22568 22904 24648 25358 25389 25767 26544 28756 29016 29388 29448 31248 31837 31902 32311 33852 34286 34356 36972 37219 38037 39184 39816 42536 43134 44082 45136 45808 47853 49296 50716 50778 51429 51534 57512 58032 58776 58896 63674 63804 64622 64701 67704 68572 68712 73944 74438 76074 79632 85072 86268 88164 88753 95511 95706 96933 101432 101556 102858 103068 111657 114111 115024 117552 127348 127608 129244 129402 135408 137144 137424 147888 148876 152148 154287 164827 172536 176328 177506 191022 191412 193866 202864 203112 205716 206136 222859 223314 226177 228222 254696 255216 258488 258804 266259 274288 286533 290799 297752 304296 308574 329654 334971 345072 352656 355012 382044 382824 387732 406224 411432 412272 420043 445718 446628 452354 456444 494481 509392 516976 517608 532518 573066 581598 595504 608592 617148 659308 668577 669942 678531 710024 764088 765648 775464 798777 822864 840086 891436 893256 904708 912888 988962 1001641 1035216 1065036 1146132 1153789 1163196 1234296 1260129 1318616 1337154 1339884 1357062 1420048 1483443 1528176 1550928 1597554 1680172 1782872 1786512 1809416 1825776 1977924 2003282 2005731 2035593 2130072 2292264 2307578 2326392 2468592 2520258 2637232 2674308 2679768 2714124 2940301 2966886 3004923 3195108 3360344 3461367 3565744 3618832 3780387 3955848 4006564 4011462 4071186 4260144 4584528 4615156 4652784 5040516 5348616 5359536 5428248 5880602 5933772 6009846 6390216 6720688 6922734 7011487 7560774 7911696 8013128 8022924 8142372 8820903 9014769 9230312 10081032 10384101 10697232 10856496 11761204 11867544 12019692 12780432 13021333 13845468 14022974 15121548 16026256 16045848 16284744 17641806 18029538 18460624 20162064 20768202 21034461 23522408 23735088 24039384 26042666 26462709 27690936 28045948 30243096 32091696 32569488 35283612 36059076 39063999 41536404 42068922 47044816 48078768 52085332 52925418 55381872 56091896 60486192 63103383 70567224 72118152 78127998 83072808 84137844 91149331 104170664 105850836 112183792 117191997 126206766 141134448 144236304 156255996 166145616 168275688 182298662 208341328 211701672 234383994 252413532 273447993 312511992 336551376 364597324 423403344 468767988 504827064 546895986 625023984 729194648 820343979 937535976 1009654128 1093791972 1458389296 1640687958 1875071952 2187583944 3281375916 4375167888 6562751832 13125503664
- Sum of all divisors σ(n): 47374745600
- Sum of proper divisors (its aliquot sum) s(n): 34249241936
- 13125503664 is an abundant number, because the sum of its proper divisors (34249241936) is greater than itself. Its abundance is 21123738272
Bases of 13125503664
- Binary: 11000011100101011101001010101100002
- Hexadecimal: 0x30E574AB0
- Base-36: 612L3G0
Squares and roots of 13125503664
- 13125503664 squared (131255036642) is 172278846433677424896
- 13125503664 cubed (131255036643) is 2261246630094926373466532818944
-
The
square root of 13125503664 is 114566.5905227173 -
The
cube root of 13125503664 is 2358.8771628849
Scales and comparisons
How big is 13125503664?- 13,125,503,664 seconds is equal to 417 years, 18 weeks, 1 day, 13 hours, 14 minutes, 24 seconds.
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To count from 1 to 13,125,503,664 would take you about eight hundred thirty-four 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 13125503664 cubic inches would be around 196.6 feet tall.
Recreational maths with 13125503664
- 13125503664 backwards is 46630552131
- 13125503664 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 13125503664's digits is 36
- More coming soon!
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