31974285739968

Names of 31974285739968

• Cardinal: 31974285739968 can be written as Thirty-one trillion, nine hundred seventy-four billion, two hundred eighty-five million, seven hundred thirty-nine thousand, nine hundred sixty-eight.

Scientific notation

• Scientific notation: 3.1974285739968 × 10¹³

Factors of 31974285739968

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 57458

Divisors of 31974285739968

• Number of divisors d(n): 896
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 32 33 36 37 39 44 48 52 54 61 64 66 72 74 78 88 96 99 104 108 111 117 122 132 143 144 148 156 176 183 192 198 208 216 222 234 244 264 286 288 296 297 312 333 351 352 366 396 407 416 429 432 444 468 481 488 528 549 572 576 592 594 624 666 671 702 704 732 792 793 814 832 858 864 888 936 962 976 999 1056 1098 1144 1184 1188 1221 1248 1287 1332 1342 1404 1443 1464 1584 1586 1628 1647 1716 1728 1776 1872 1924 1952 1998 2013 2112 2196 2257 2288 2368 2376 2379 2442 2496 2574 2664 2684 2808 2886 2928 3168 3172 3256 3294 3432 3552 3663 3744 3848 3861 3904 3996 4026 4329 4392 4514 4576 4752 4758 4884 5148 5291 5328 5368 5616 5772 5856 6039 6336 6344 6512 6588 6771 6864 7104 7137 7326 7488 7696 7722 7992 8052 8658 8723 8784 9028 9152 9504 9516 9768 10296 10582 10656 10736 10989 11232 11544 11712 12078 12688 12987 13024 13176 13542 13728 14274 14652 15392 15444 15873 15984 16104 17316 17446 17568 18056 18117 19008 19032 19536 20313 20592 21164 21312 21411 21472 21978 22464 23088 24156 24827 25376 25974 26048 26169 26352 27084 27456 28548 29304 29341 30784 30888 31746 31968 32208 34632 34892 35136 36112 36234 38064 39072 40626 41184 42328 42822 42944 43956 46176 47619 48312 49654 50752 51948 52338 52704 54168 57096 57331 58608 58682 60939 61776 63492 63936 64416 69264 69784 72224 72468 74481 76128 78144 78507 81252 82368 84656 85644 87912 88023 92352 95238 96624 99308 103896 104676 105408 108336 114192 114662 117216 117364 121878 123552 126984 128832 138528 139568 142857 144448 144936 148962 152256 157014 162504 169312 171288 171993 175824 176046 190476 193248 198616 207792 209352 216672 223443 228384 229324 234432 234728 235521 243756 247104 253968 264069 277056 279136 285714 289872 297924 314028 322751 325008 338624 342576 343986 351648 352092 380952 386496 397232 415584 418704 433344 446886 456768 458648 469456 471042 487512 507936 515979 528138 558272 571428 579744 595848 628056 630641 645502 650016 670329 685152 687972 703296 704184 745303 761904 792207 794464 831168 837408 893772 917296 938912 942084 968253 975024 1015872 1031958 1056276 1142856 1159488 1191696 1256112 1261282 1291004 1300032 1340658 1370304 1375944 1408368 1490606 1523808 1547937 1584414 1588928 1674816 1787544 1834592 1877824 1884168 1891923 1936506 1950048 2063916 2112552 2121247 2235909 2285712 2383392 2512224 2522564 2582008 2681316 2751888 2816736 2904759 2981212 3047616 3095874 3168828 3497191 3575088 3669184 3768336 3783846 3873012 3900096 4127832 4225104 4242494 4471818 4571424 4766784 5024448 5045128 5164016 5362632 5503776 5633472 5675769 5809518 5962424 6191748 6337656 6363741 6707727 6994382 7150176 7536672 7567692 7746024 8198333 8255664 8450208 8484988 8714277 8943636 9142848 10090256 10328032 10491573 10725264 11007552 11351538 11619036 11924848 12383496 12675312 12727482 13415454 13988764 14300352 15073344 15135384 15492048 16396666 16511328 16900416 16969976 17027307 17428554 17887272 19091223 20123181 20180512 20656064 20983146 21450528 22703076 23238072 23333717 23849696 24594999 24766992 25350624 25454964 26830908 27576211 27977528 30270768 30984096 31474719 32793332 33022656 33939952 34054614 34857108 35774544 38182446 38469101 40246362 40361024 41966292 42901056 45406152 45463483 46476144 46667434 47699392 49189998 49533984 50701248 50909928 53661816 55152422 55955056 57273669 60541536 61968192 62949438 65586664 67879904 68109228 69714216 70001151 71549088 73784997 76364892 76938202 80492724 82728633 83932584 90812304 90926966 92952288 93334868 94424157 98379996 99067968 101819856 107323632 110304844 111910112 114547338 115407303 121083072 125898876 129396067 131173328 135759808 136218456 136390449 139428432 140002302 143098176 147569994 152729784 153876404 160985448 165457266 167865168 181624608 181853932 185904576 186669736 188848314 196759992 203639712 210003453 214647264 220609688 221354991 223820224 229094676 230814606 248185899 251797752 258792134 262346656 272436912 272780898 278856864 280004604 295139988 303338321 305459568 307752808 321970896 330914532 335730336 346221909 363249216 363707864 373339472 377696628 388188201 393519984 407279424 409171347 420006906 429294528 441219376 442709982 458189352 461629212 496371798 500098313 503595504 517584268 524693312 544873824 545561796 557713728 560009208 590279976 606676642 610919136 615505616 630010359 643941792 661829064 671460672 692443818 727415728 744557697 746678944 755393256 776376402 787039968 818342694 840013812 882438752 885419964 910014963 916378704 923258424 992743596 1000196626 1007191008 1035168536 1038665727 1089747648 1091123592 1120018416 1164564603 1180559952 1213353284 1221838272 1227514041 1231011232 1260020718 1287883584 1323658128 1384887636 1423356737 1454831456 1489115394 1493357888 1500294939 1510786512 1552752804 1574079936 1636685388 1680027624 1682148871 1764877504 1770839928 1820029926 1832757408 1846516848 1985487192 2000393252 2014382016 2070337072 2077331454 2182247184 2240036832 2329129206 2361119904 2426706568 2455028082 2462022464 2520041436 2647316256 2730044889 2769775272 2846713474 2909662912 2978230788 3000589878 3021573024 3105505608 3273370776 3360055248 3364297742 3493693809 3541679856 3640059852 3665514816 3693033696 3970974384 4000786504 4140674144 4154662908 4270070211 4364494368 4480073664 4500884817 4658258412 4722239808 4853413136 4910056164 5040082872 5046446613 5294632512 5460089778 5539550544 5693426948 5956461576 6001179756 6043146048 6211011216 6546741552 6720110496 6728595484 6987387618 7083359712 7280119704 7386067392 7941948768 8001573008 8190134667 8281348288 8309325816 8540140422 8728988736 9001769634 9316516824 9706826272 9820112328 10080165744 10092893226 10920179556 11079101088 11386853896 11912923152 12002359512 12422022432 12810210633 13093483104 13440220992 13457190968 13502654451 13974775236 14166719424 14560239408 15139339839 15883897536 16003146016 16380269334 16618651632 17080280844 18003539268 18503637581 18633033648 19413652544 19640224656 20160331488 20185786452 21840359112 22158202176 22773707792 23825846304 24004719024 24844044864 25620421266 26186966208 26914381936 27005308902 27949550472 29120478816 30278679678 32006292032 32760538668 33237303264 34160561688 36007078536 37007275162 37266067296 38430631899 39280449312 40320662976 40371572904 43680718224 45418019517 45547415584 47651692608 48009438048 51240842532 53828763872 54010617804 55510912743 55899100944 58240957632 60557359356 65521077336 66474606528 68321123376 72014157072 74014550324 74532134592 76861263798 78560898624 80743145808 87361436448 90836039034 91094831168 96018876096 102481685064 107657527744 108021235608 111021825486 111798201888 121114718712 131042154672 136642246752 144028314144 148029100648 153722527596 161486291616 166532738229 174722872896 181672078068 204963370128 216042471216 222043650972 223596403776 242229437424 262084309344 273284493504 288056628288 296058201296 307445055192 322972583232 333065476458 363344156136 409926740256 432084942432 444087301944 484458874848 499598214687 524168618688 592116402592 614890110384 666130952916 726688312272 819853480512 864169884864 888174603888 968917749696 999196429374 1184232805184 1229780220768 1332261905832 1453376624544 1776349207776 1998392858748 2459560441536 2664523811664 2906753249088 3552698415552 3996785717496 5329047623328 7993571434992 10658095246656 15987142869984 31974285739968
• Sum of all divisors σ(n): 115277718420480
• Sum of proper divisors (its aliquot sum) s(n): 83303432680512
• 31974285739968 is an abundant number, because the sum of its proper divisors (83303432680512) is greater than itself. Its abundance is 51329146940544

Bases of 31974285739968

• Binary: 111010001010010010111111100011000011111000000₂
• Hexadecimal: 0x1D1497F187C0
• Base-36: BC0S86EO0

Squares and roots of 31974285739968

• 31974285739968 squared (31974285739968²) is 1022354948581120993312641024
• 31974285739968 cubed (31974285739968³) is 32689069253603054851336417383636193247232
• The square root of 31974285739968 is 5654580.9517565491
• The cube root of 31974285739968 is 31739.5148347979

Scales and comparisons

• 31,974,285,739,968 seconds is equal to 1,016,683 years, 19 weeks, 6 days, 14 hours, 52 minutes, 48 seconds.
• To count from 1 to 31,974,285,739,968 would take you about two million, five hundred forty-one thousand, seven hundred eight 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 31974285739968 cubic inches would be around 2645 feet tall.

Recreational maths with 31974285739968

• 31974285739968 backwards is 86993758247913
• The number of decimal digits it has is: 14
• The sum of 31974285739968's digits is 81
• More coming soon!