34138001264640
34,138,001,264,640 is an even composite number composed of six prime numbers multiplied together.
What does the number 34138001264640 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1248 divisors.
34138001264640 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred forty-eight divisors.
Prime factorization of 34138001264640:
212 × 3 × 5 × 73 × 13 × 3532
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 7 × 13 × 353 × 353)See below for interesting mathematical facts about the number 34138001264640 from the Numbermatics database.
Names of 34138001264640
- Cardinal: 34138001264640 can be written as Thirty-four trillion, one hundred thirty-eight billion, one million, two hundred sixty-four thousand, six hundred forty.
Scientific notation
- Scientific notation: 3.413800126464 × 1013
Factors of 34138001264640
Divisors of 34138001264640
- Number of divisors d(n): 1248
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 32 35 39 40 42 48 49 52 56 60 64 65 70 78 80 84 91 96 98 104 105 112 120 128 130 140 147 156 160 168 182 192 195 196 208 210 224 240 245 256 260 273 280 294 312 320 336 343 353 364 384 390 392 416 420 448 455 480 490 512 520 546 560 588 624 637 640 672 686 706 728 735 768 780 784 832 840 896 910 960 980 1024 1029 1040 1059 1092 1120 1176 1248 1274 1280 1344 1365 1372 1412 1456 1470 1536 1560 1568 1664 1680 1715 1765 1792 1820 1911 1920 1960 2048 2058 2080 2118 2184 2240 2352 2471 2496 2548 2560 2688 2730 2744 2824 2912 2940 3072 3120 3136 3185 3328 3360 3430 3530 3584 3640 3822 3840 3920 4096 4116 4160 4236 4368 4459 4480 4589 4704 4942 4992 5096 5120 5145 5295 5376 5460 5488 5648 5824 5880 6144 6240 6272 6370 6656 6720 6860 7060 7168 7280 7413 7644 7680 7840 8232 8320 8472 8736 8918 8960 9178 9408 9555 9884 9984 10192 10240 10290 10590 10752 10920 10976 11296 11648 11760 12288 12355 12480 12544 12740 13312 13377 13440 13720 13767 14120 14336 14560 14826 15288 15360 15680 16464 16640 16944 17297 17472 17836 17920 18356 18816 19110 19768 19968 20384 20480 20580 21180 21504 21840 21952 22295 22592 22945 23296 23520 24710 24960 25088 25480 26624 26754 26880 27440 27534 28240 28672 29120 29652 30576 30720 31360 32123 32928 33280 33888 34594 34944 35672 35840 36712 37065 37632 38220 39536 39936 40768 41160 42360 43008 43680 43904 44590 45184 45890 46592 47040 49420 49920 50176 50960 51891 53248 53508 53760 54880 55068 56480 58240 59304 61152 61440 62720 64246 65856 66560 66885 67776 68835 69188 69888 71344 71680 73424 74130 75264 76440 79072 79872 81536 82320 84720 86016 86485 87360 87808 89180 90368 91780 93184 94080 96369 98840 99840 100352 101920 103782 107016 107520 109760 110136 112960 116480 118608 121079 122304 124609 125440 128492 131712 133120 133770 135552 137670 138376 139776 142688 143360 146848 148260 150528 152880 158144 159744 160615 163072 164640 169440 172970 174720 175616 178360 180736 183560 186368 188160 192738 197680 199680 200704 203840 207564 214032 215040 219520 220272 224861 225920 232960 237216 242158 244608 249218 250880 256984 259455 263424 266240 267540 271104 275340 276752 279552 285376 293696 296520 301056 305760 316288 321230 326144 329280 338880 345940 349440 351232 356720 361472 363237 367120 372736 373827 376320 385476 395360 399360 407680 415128 428064 430080 439040 440544 449722 451840 465920 474432 481845 484316 489216 498436 501760 513968 518910 526848 535080 542208 550680 553504 559104 570752 587392 593040 602112 605395 611520 623045 632576 642460 652288 658560 674583 677760 691880 698880 702464 713440 722944 726474 734240 747654 752640 770952 790720 798720 815360 830256 856128 872263 878080 881088 899444 903680 931840 948864 963690 968632 978432 996872 1003520 1027936 1037820 1053696 1070160 1084416 1101360 1107008 1118208 1124305 1141504 1174784 1186080 1210790 1223040 1246090 1265152 1284920 1304576 1317120 1349166 1355520 1383760 1397760 1404928 1426880 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4689285888 4762555980 4835410944 4976385024 5080059712 5128906440 5359183872 5442921120 5470833536 5556315310 5805782528 5861607360 6044263680 6220481280 6252381184 6350074640 6447214592 6635180032 6667578372 6698979840 6838541920 6907729920 7257228160 7439093760 7620089568 7655976960 7815476480 8059018240 8206250304 8293975040 8334472965 8708673792 8890104496 8931973120 9378571776 9525111960 9670821888 9952770048 10160119424 10257812880 10718367744 10885842240 10941667072 11112630620 11611565056 11723214720 12088527360 12440962560 12504762368 12700149280 13335156744 13397959680 13677083840 13815459840 14514456320 15240179136 15630952960 16118036480 16412500608 16587950080 16668945930 17417347584 17780208992 17863946240 18757143552 19050223920 19341643776 19905540096 20320238848 20515625760 21771684480 21883334144 22225261240 23223130112 23446429440 24177054720 24881925120 25009524736 25400298560 26670313488 26795919360 27354167680 29028912640 30480358272 31261905920 32236072960 32825001216 33175900160 33337891860 34834695168 35560417984 37514287104 38100447840 40640477696 41031251520 43543368960 43766668288 44450522480 46446260224 46892858880 48354109440 49763850240 50800597120 53340626976 53591838720 54708335360 58057825280 60960716544 62523811840 65650002432 66675783720 69669390336 71120835968 75028574208 76200895680 81280955392 82062503040 87086737920 87533336576 88901044960 93785717760 96708218880 99527700480 101601194240 106681253952 109416670720 116115650560 121921433088 125047623680 131300004864 133351567440 139338780672 142241671936 152401791360 162561910784 164125006080 174173475840 175066673152 177802089920 187571435520 203202388480 213362507904 218833341440 232231301120 243842866176 262600009728 266703134880 284483343872 304803582720 325123821568 328250012160 348346951680 355604179840 375142871040 406404776960 426725015808 437666682880 487685732352 525200019456 533406269760 568966687744 609607165440 656500024320 696693903360 711208359680 812809553920 853450031616 875333365760 975371464704 1066812539520 1137933375488 1219214330880 1313000048640 1422416719360 1625619107840 1706900063232 2133625079040 2275866750976 2438428661760 2626000097280 2844833438720 3413800126464 4267250158080 4876857323520 5689666877440 6827600252928 8534500316160 11379333754880 17069000632320 34138001264640
- Sum of all divisors σ(n): 137568067795200
- Sum of proper divisors (its aliquot sum) s(n): 103430066530560
- 34138001264640 is an abundant number, because the sum of its proper divisors (103430066530560) is greater than itself. Its abundance is 69292065265920
Bases of 34138001264640
- Binary: 1111100001100010111110111000001010000000000002
- Hexadecimal: 0x1F0C5F705000
- Base-36: C3MS4JAIO
Squares and roots of 34138001264640
- 34138001264640 squared (341380012646402) is 1165403130344562239314329600
- 34138001264640 cubed (341380012646403) is 39784533537518080484659774211273785344000
-
The
square root of 34138001264640 is 5842773.4223260789 -
The
cube root of 34138001264640 is 32439.8892892551
Scales and comparisons
How big is 34138001264640?- 34,138,001,264,640 seconds is equal to 1,085,482 years, 43 weeks, 6 days, 9 hours, 4 minutes.
-
To count from 1 to 34,138,001,264,640 would take you about two million, seven hundred thirteen thousand, seven hundred seven 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 34138001264640 cubic inches would be around 2703.3 feet tall.
Recreational maths with 34138001264640
- 34138001264640 backwards is 04646210083143
- 34138001264640 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 34138001264640's digits is 42
- More coming soon!
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The information we have on file for 34138001264640 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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