132398966400
132,398,966,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 132398966400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 864 divisors.
132398966400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 132398966400:
27 × 3 × 52 × 232 × 292 × 31
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 23 × 23 × 29 × 29 × 31)See below for interesting mathematical facts about the number 132398966400 from the Numbermatics database.
Names of 132398966400
- Cardinal: 132398966400 can be written as One hundred thirty-two billion, three hundred ninety-eight million, nine hundred sixty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.323989664 × 1011
Factors of 132398966400
Divisors of 132398966400
- Number of divisors d(n): 864
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 29 30 31 32 40 46 48 50 58 60 62 64 69 75 80 87 92 93 96 100 115 116 120 124 128 138 145 150 155 160 174 184 186 192 200 230 232 240 248 276 290 300 310 320 345 348 368 372 384 400 435 460 464 465 480 496 529 552 575 580 600 620 640 667 690 696 713 725 736 744 775 800 841 870 899 920 928 930 960 992 1058 1104 1150 1160 1200 1240 1334 1380 1392 1426 1450 1472 1488 1550 1587 1600 1682 1725 1740 1798 1840 1856 1860 1920 1984 2001 2116 2139 2175 2208 2300 2320 2325 2400 2480 2523 2645 2668 2697 2760 2784 2852 2900 2944 2976 3100 3174 3200 3335 3364 3450 3480 3565 3596 3680 3712 3720 3968 4002 4205 4232 4278 4350 4416 4495 4600 4640 4650 4800 4960 5046 5290 5336 5394 5520 5568 5704 5800 5952 6200 6348 6670 6728 6900 6960 7130 7192 7360 7440 7935 8004 8410 8464 8556 8700 8832 8990 9200 9280 9300 9600 9920 10005 10092 10580 10672 10695 10788 11040 11136 11408 11600 11904 12400 12615 12696 13225 13340 13456 13485 13800 13920 14260 14384 14720 14880 15341 15870 16008 16399 16675 16820 16928 17112 17400 17825 17980 18400 18560 18600 19343 19840 20010 20184 20677 21025 21160 21344 21390 21576 22080 22475 22816 23200 24800 25230 25392 26071 26450 26680 26912 26970 27600 27840 28520 28768 29760 30682 31740 32016 32798 33350 33640 33856 34224 34800 35650 35960 36800 37200 38686 39675 40020 40368 41354 42050 42320 42688 42780 43152 44160 44950 45632 46023 46400 49197 49600 50025 50460 50784 52142 52900 53360 53475 53824 53940 55200 55680 57040 57536 58029 59520 61364 62031 63075 63480 64032 65596 66700 67280 67425 67712 68448 69600 71300 71920 73600 74400 76705 77372 78213 79350 80040 80736 81995 82708 84100 84640 85376 85560 86304 89900 91264 92046 92800 96715 98394 99200 100050 100920 101568 103385 104284 105800 106720 106950 107648 107880 110400 114080 115072 116058 122728 124062 126150 126960 128064 130355 131192 133400 134560 134850 136896 139200 142600 143840 148800 153410 154744 156426 158700 160080 161472 163990 165416 168200 169280 171120 172608 179800 184092 193430 196788 200100 201840 203136 206770 208568 211600 213440 213900 215760 220800 228160 230115 232116 245456 245985 248124 252300 253920 256128 260710 262384 266800 269120 269700 273792 278400 285200 287680 290145 297600 306820 309488 310155 312852 317400 320160 322944 327980 330832 336400 338560 342240 345216 359600 368184 383525 386860 391065 393576 400200 403680 409975 413540 417136 423200 426880 427800 431520 444889 456320 460230 464232 475571 483575 490912 491970 496248 504600 507840 516925 521420 524768 533600 538240 539400 570400 575360 580290 599633 613640 618976 620310 625704 634800 640320 651775 655960 661664 672800 684480 719200 736368 767050 773720 782130 787152 800400 807360 819950 827080 834272 846400 855600 863040 889778 920460 928464 951142 967150 981824 983940 992496 1009200 1015680 1033850 1042840 1049536 1067200 1078800 1140800 1150575 1160580 1199266 1227280 1229925 1237952 1240620 1251408 1269600 1280640 1303550 1311920 1323328 1334667 1345600 1368960 1426713 1438400 1450725 1472736 1534100 1547440 1550775 1564260 1574304 1600800 1614720 1639900 1654160 1668544 1692800 1711200 1726080 1779556 1798899 1840920 1856928 1902284 1934300 1955325 1963648 1967880 1984992 2018400 2067700 2085680 2099072 2134400 2157600 2224445 2281600 2301150 2321160 2377855 2398532 2454560 2459850 2475904 2481240 2502816 2539200 2607100 2623840 2646656 2669334 2691200 2853426 2876800 2901450 2945472 2998165 3068200 3094880 3101550 3128520 3148608 3201600 3279800 3308320 3337088 3422400 3559112 3597798 3681840 3713856 3804568 3868600 3910650 3935760 3969984 4036800 4135400 4171360 4315200 4448890 4602300 4642320 4755710 4797064 4909120 4919700 4962480 5005632 5078400 5214200 5247680 5338668 5706852 5802900 5890944 5996330 6136400 6189760 6203100 6257040 6297216 6403200 6559600 6616640 6673335 6844800 7118224 7133565 7195596 7363680 7427712 7609136 7737200 7821300 7871520 7939968 8073600 8270800 8342720 8630400 8897780 8994495 9204600 9284640 9511420 9594128 9818240 9839400 9924960 10011264 10428400 10495360 10677336 11122225 11413704 11605800 11889275 11992660 12272800 12379520 12406200 12514080 13119200 13233280 13346670 13791559 14236448 14267130 14391192 14727360 14990825 15218272 15474400 15642600 15743040 16541600 16685440 17795560 17988990 18409200 18569280 19022840 19188256 19678800 19849920 20856800 21354672 22244450 22827408 23211600 23778550 23985320 24545600 24812400 25028160 26238400 26693340 27583118 28472896 28534260 28782384 29454720 29981650 30436544 30948800 31285200 31486080 33083200 33366675 35591120 35667825 35977980 36818400 37138560 38045680 38376512 39357600 39699840 41374677 41713600 42709344 44488900 44972475 45654816 46423200 47557100 47970640 49091200 49624800 50056320 52476800 53386680 55166236 56945792 57068520 57564768 59963300 60873088 61897600 62570400 66166400 66733350 68957795 71182240 71335650 71955960 73636800 76091360 76753024 78715200 82749354 83427200 85418688 88977800 89944950 91309632 92846400 95114200 95941280 99249600 106773360 110332472 114137040 115129536 119926600 125140800 133466700 137915590 142364480 142671300 143911920 147273600 152182720 157430400 165498708 170837376 177955600 179889900 182619264 185692800 190228400 191882560 198499200 206873385 213546720 220664944 228274080 230259072 239853200 250281600 266933400 275831180 284728960 285342600 287823840 304365440 330997416 344788975 355911200 359779800 380456800 383765120 413746770 427093440 441329888 456548160 479706400 533866800 551662360 570685200 575647680 661994832 689577950 711822400 719559600 760913600 827493540 854186880 882659776 913096320 959412800 1034366925 1067733600 1103324720 1141370400 1151295360 1323989664 1379155900 1423644800 1439119200 1521827200 1654987080 1765319552 1918825600 2068733850 2135467200 2206649440 2282740800 2647979328 2758311800 2878238400 3309974160 4137467700 4270934400 4413298880 4565481600 5295958656 5516623600 5756476800 6619948320 8274935400 8826597760 11033247200 13239896640 16549870800 22066494400 26479793280 33099741600 44132988800 66199483200 132398966400
- Sum of all divisors σ(n): 487365889920
- Sum of proper divisors (its aliquot sum) s(n): 354966923520
- 132398966400 is an abundant number, because the sum of its proper divisors (354966923520) is greater than itself. Its abundance is 222567957120
Bases of 132398966400
- Binary: 11110110100111001011111100110100000002
- Hexadecimal: 0x1ED397E680
- Base-36: 1OTMXCAO
Squares and roots of 132398966400
- 132398966400 squared (1323989664002) is 17529486303788328960000
- 132398966400 cubed (1323989664003) is 2320885868144531158687186944000000
-
The
square root of 132398966400 is 363866.6876755827 -
The
cube root of 132398966400 is 5096.7679945163
Scales and comparisons
How big is 132398966400?- 132,398,966,400 seconds is equal to 4,209 years, 45 weeks, 4 days, 10 hours, 40 minutes.
-
To count from 1 to 132,398,966,400 would take you about eight thousand, four hundred nineteen 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 132398966400 cubic inches would be around 424.7 feet tall.
Recreational maths with 132398966400
- 132398966400 backwards is 004669893231
- The number of decimal digits it has is: 12
- The sum of 132398966400's digits is 51
- More coming soon!
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