3973135408704
3,973,135,408,704 is an even composite number composed of six prime numbers multiplied together.
3973135408704 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred fifty-six divisors.
Prime factorization of 3973135408704:
26 × 32 × 72 × 112 × 73 × 15937
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 11 × 11 × 73 × 15937)See below for interesting mathematical facts about the number 3973135408704 from the Numbermatics database.
Names of 3973135408704
- Cardinal: 3973135408704 can be written as Three trillion, nine hundred seventy-three billion, one hundred thirty-five million, four hundred eight thousand, seven hundred four.
Scientific notation
- Scientific notation: 3.973135408704 × 1012
Factors of 3973135408704
Divisors of 3973135408704
- Number of divisors d(n): 756
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 42 44 48 49 56 63 64 66 72 73 77 84 88 96 98 99 112 121 126 132 144 146 147 154 168 176 192 196 198 219 224 231 242 252 264 288 292 294 308 336 352 363 392 396 438 441 448 462 484 504 511 528 539 576 584 588 616 657 672 693 704 726 784 792 803 847 876 882 924 968 1008 1022 1056 1078 1089 1168 1176 1232 1314 1344 1386 1452 1533 1568 1584 1606 1617 1694 1752 1764 1848 1936 2016 2044 2112 2156 2178 2336 2352 2409 2464 2541 2628 2772 2904 3066 3136 3168 3212 3234 3388 3504 3528 3577 3696 3872 4032 4088 4312 4356 4599 4672 4704 4818 4851 4928 5082 5256 5544 5621 5808 5929 6132 6336 6424 6468 6776 7008 7056 7154 7227 7392 7623 7744 8176 8624 8712 8833 9198 9408 9636 9702 10164 10512 10731 11088 11242 11616 11858 12264 12848 12936 13552 14016 14112 14308 14454 14784 15246 15937 16352 16863 17248 17424 17666 17787 18396 19272 19404 20328 21024 21462 22176 22484 23232 23716 24528 25696 25872 26499 27104 28224 28616 28908 30492 31874 32193 32704 33726 34496 34848 35332 35574 36792 38544 38808 39347 40656 42048 42924 44352 44968 47432 47811 49056 50589 51392 51744 52998 53361 54208 57232 57816 60984 61831 63748 64386 67452 69696 70664 71148 73584 77088 77616 78694 79497 81312 85848 89936 94864 95622 98112 101178 103488 105996 106722 111559 114464 115632 118041 121968 123662 127496 128772 134904 141328 142296 143433 147168 154176 155232 157388 158994 162624 171696 175307 179872 185493 189728 191244 202356 211992 213444 223118 228928 231264 236082 243936 247324 254992 257544 269808 282656 284592 286866 294336 310464 314776 317988 334677 343392 350614 354123 359744 370986 379456 382488 404712 423984 426888 432817 446236 462528 472164 487872 494648 509984 515088 525921 539616 556479 565312 569184 573732 629552 635976 669354 686784 701228 708246 741972 764976 780913 809424 847968 853776 865634 892472 944328 989296 1004031 1019968 1030176 1051842 1079232 1112958 1138368 1147464 1163401 1227149 1259104 1271952 1298451 1338708 1402456 1416492 1483944 1529952 1561826 1577763 1618848 1695936 1707552 1731268 1784944 1888656 1928377 1978592 2008062 2060352 2103684 2225916 2294928 2326802 2342739 2454298 2518208 2543904 2596902 2677416 2804912 2832984 2967888 3059904 3123652 3155526 3237696 3415104 3462536 3490203 3569888 3681447 3777312 3856754 3895353 3957184 4016124 4207368 4451832 4589856 4653604 4685478 4908596 5087808 5193804 5354832 5609824 5665968 5785131 5935776 6247304 6311052 6925072 6980406 7028217 7139776 7362894 7554624 7713508 7790706 8032248 8143807 8414736 8590043 8903664 9179712 9307208 9370956 9817192 10387608 10470609 10709664 11044341 11219648 11331936 11570262 11871552 12494608 12622104 12797411 13498639 13850144 13960812 14056434 14725788 15427016 15581412 16064496 16287614 16829472 17180086 17355393 17807328 18614416 18741912 19634384 20775216 20941218 21419328 22088682 22663872 23140524 24431421 24989216 25244208 25594822 25770129 26997278 27700288 27921624 28112868 29451576 30854032 31162824 32128992 32575228 33658944 34360172 34710786 35614656 37228832 37483824 38392233 39268768 40495917 41550432 41882436 44177364 46281048 48862842 49978432 50488416 51189644 51540258 53994556 55843248 56225736 57006649 58903152 61708064 62325648 64257984 65150456 68720344 69421572 73294263 74457664 74967648 76784466 77310387 78537536 80991834 83100864 83764872 88354728 89581877 92562096 94490473 97725684 100976832 102379288 103080516 107989112 111686496 112451472 114013298 115176699 117806304 121487751 123416128 124651296 130300912 137440688 138843144 140771521 146588526 149935296 153568932 154620774 161983668 167529744 171019947 176709456 179163754 185124192 188980946 195451368 204758576 206161032 215978224 223372992 224902944 228026596 230353398 235612608 242975502 249302592 260601824 268745631 274881376 277686288 281543042 283471419 293177052 307137864 309241548 323967336 335059488 342039894 353418912 358327508 370248384 377961892 390902736 409517152 412322064 422314563 431956448 449805888 456053192 460706796 485951004 513059841 521203648 537491262 549762752 555372576 563086084 566942838 586354104 614275728 618483096 627073139 647934672 670118976 684079788 706837824 716655016 755923784 781805472 806236893 819034304 824644128 844629126 850414257 863912896 912106384 921413592 971902008 985400647 1026119682 1074982524 1110745152 1126172168 1133885676 1172708208 1228551456 1236966192 1254146278 1266943689 1295869344 1368159576 1433310032 1511847568 1563610944 1612473786 1649288256 1689258252 1700828514 1824212768 1842827184 1881219417 1943804016 1970801294 2052239364 2149965048 2252344336 2267771352 2345416416 2457102912 2473932384 2508292556 2533887378 2591738688 2736319152 2866620064 2956201941 3023695136 3224947572 3378516504 3401657028 3648425536 3685654368 3762438834 3887608032 3941602588 4104478728 4299930096 4504688672 4535542704 4690832832 4947864768 5016585112 5067774756 5472638304 5643658251 5733240128 5912403882 6047390272 6449895144 6757033008 6803314056 6897804529 7371308736 7524877668 7775216064 7883205176 8208957456 8599860192 8868605823 9009377344 9071085408 10033170224 10135549512 10945276608 11287316502 11824807764 12899790288 13514066016 13606628112 13795609058 15049755336 15766410352 16417914912 17199720384 17737211646 18142170816 20066340448 20271099024 20693413587 22574633004 23649615528 25799580576 27028132032 27213256224 27591218116 30099510672 31532820704 32835829824 35474423292 40132680896 40542198048 41386827174 45149266008 47299231056 51599161152 54426512448 55182436232 60199021344 62080240761 63065641408 70948846584 81084396096 82773654348 90298532016 94598462112 110364872464 120398042688 124160481522 141897693168 165547308696 180597064032 189196924224 220729744928 248320963044 283795386336 331094617392 361194128064 441459489856 496641926088 567590772672 662189234784 993283852176 1324378469568 1986567704352 3973135408704
- Sum of all divisors σ(n): 14761793036172
- Sum of proper divisors (its aliquot sum) s(n): 10788657627468
- 3973135408704 is an abundant number, because the sum of its proper divisors (10788657627468) is greater than itself. Its abundance is 6815522218764
Bases of 3973135408704
- Binary: 1110011101000100010101001100011110010000002
- Hexadecimal: 0x39D11531E40
- Base-36: 1EP8E8LS0
Squares and roots of 3973135408704
- 3973135408704 squared (39731354087042) is 15785804975897501118959616
- 3973135408704 cubed (39731354087043) is 62719140704634154977489911239430897664
-
The
square root of 3973135408704 is 1993272.5374880375 -
The
cube root of 3973135408704 is 15838.3932629513
Scales and comparisons
How big is 3973135408704?- 3,973,135,408,704 seconds is equal to 126,333 years, 21 weeks, 4 days, 12 hours, 38 minutes, 24 seconds.
-
To count from 1 to 3,973,135,408,704 would take you about three hundred fifteen thousand, eight hundred thirty-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 3973135408704 cubic inches would be around 1319.9 feet tall.
Recreational maths with 3973135408704
- 3973135408704 backwards is 4078045313793
- The number of decimal digits it has is: 13
- The sum of 3973135408704's digits is 54
- More coming soon!
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