34042945440
34,042,945,440 is an even composite number composed of seven prime numbers multiplied together.
34042945440 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 34042945440:
25 × 3 × 5 × 7 × 79 × 277 × 463
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 79 × 277 × 463)See below for interesting mathematical facts about the number 34042945440 from the Numbermatics database.
Names of 34042945440
- Cardinal: 34042945440 can be written as Thirty-four billion, forty-two million, nine hundred forty-five thousand, four hundred forty.
Scientific notation
- Scientific notation: 3.404294544 × 1010
Factors of 34042945440
Divisors of 34042945440
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 79 80 84 96 105 112 120 140 158 160 168 210 224 237 240 277 280 316 336 395 420 463 474 480 553 554 560 632 672 790 831 840 926 948 1106 1108 1120 1185 1264 1385 1389 1580 1659 1662 1680 1852 1896 1939 2212 2216 2315 2370 2528 2765 2770 2778 3160 3241 3318 3324 3360 3704 3792 3878 4155 4424 4432 4630 4740 5530 5540 5556 5817 6320 6482 6636 6648 6945 7408 7584 7756 8295 8310 8848 8864 9260 9480 9695 9723 11060 11080 11112 11634 12640 12964 13272 13296 13890 14816 15512 16205 16590 16620 17696 18520 18960 19390 19446 21883 22120 22160 22224 23268 25928 26544 26592 27780 29085 31024 32410 33180 33240 36577 37040 37920 38780 38892 43766 44240 44320 44448 46536 48615 51856 53088 55560 58170 62048 64820 65649 66360 66480 73154 74080 77560 77784 87532 88480 93072 97230 103712 109415 109731 111120 116340 128251 129640 131298 132720 132960 146308 153181 155120 155568 175064 182885 186144 194460 218830 219462 222240 232680 256039 256502 259280 262596 265440 292616 306362 310240 311136 328245 350128 365770 384753 388920 437660 438924 459543 465360 512078 513004 518560 525192 548655 585232 612724 641255 656490 700256 731540 765905 768117 769506 777840 875320 877848 897757 919086 930720 1024156 1026008 1050384 1097310 1170464 1225448 1280195 1282510 1312980 1463080 1531810 1536234 1539012 1555680 1750640 1755696 1795514 1838172 1923765 2048312 2052016 2100768 2194620 2297715 2450896 2560390 2565020 2625960 2693271 2926160 3063620 3072468 3078024 3501280 3511392 3591028 3676344 3840585 3847530 4096624 4104032 4389240 4488785 4595430 4901792 5120780 5130040 5251920 5386542 5852320 6127240 6144936 6156048 7182056 7352688 7681170 7695060 8193248 8778480 8977570 9190860 10131829 10241560 10260080 10503840 10773084 12254480 12289872 12312096 13466355 14364112 14705376 15362340 15390120 17556960 17955140 18381720 20263658 20483120 20520160 21546168 24508960 24579744 26932710 28728224 30395487 30724680 30780240 35910280 36763440 40527316 40966240 43092336 50659145 53865420 60790974 61449360 61560480 70922803 71820560 73526880 81054632 86184672 101318290 107730840 121581948 122898720 141845606 143641120 151977435 162109264 202636580 212768409 215461680 243163896 283691212 303954870 324218528 354614015 405273160 425536818 430923360 486327792 567382424 607909740 709228030 810546320 851073636 972655584 1063842045 1134764848 1215819480 1418456060 1621092640 1702147272 2127684090 2269529696 2431638960 2836912120 3404294544 4255368180 4863277920 5673824240 6808589088 8510736360 11347648480 17021472720 34042945440
- Sum of all divisors σ(n): 124822978560
- Sum of proper divisors (its aliquot sum) s(n): 90780033120
- 34042945440 is an abundant number, because the sum of its proper divisors (90780033120) is greater than itself. Its abundance is 56737087680
Bases of 34042945440
- Binary: 111111011010001111000011111101000002
- Hexadecimal: 0x7ED1E1FA0
- Base-36: FN0AGTC
Squares and roots of 34042945440
- 34042945440 squared (340429454402) is 1158922134230816793600
- 34042945440 cubed (340429454403) is 39453122984828052471160541184000
-
The
square root of 34042945440 is 184507.3045708489 -
The
cube root of 34042945440 is 3240.9752132217
Scales and comparisons
How big is 34042945440?- 34,042,945,440 seconds is equal to 1,082 years, 23 weeks, 6 days, 13 hours, 44 minutes.
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To count from 1 to 34,042,945,440 would take you about two thousand, one hundred sixty-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 34042945440 cubic inches would be around 270.1 feet tall.
Recreational maths with 34042945440
- 34042945440 backwards is 04454924043
- The number of decimal digits it has is: 11
- The sum of 34042945440's digits is 39
- More coming soon!
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