13263398400
13,263,398,400 is an even composite number composed of six prime numbers multiplied together.
13263398400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 13263398400:
29 × 3 × 52 × 73 × 19 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 7 × 19 × 53)See below for interesting mathematical facts about the number 13263398400 from the Numbermatics database.
Names of 13263398400
- Cardinal: 13263398400 can be written as Thirteen billion, two hundred sixty-three million, three hundred ninety-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.32633984 × 1010
Factors of 13263398400
Divisors of 13263398400
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 25 28 30 32 35 38 40 42 48 49 50 53 56 57 60 64 70 75 76 80 84 95 96 98 100 105 106 112 114 120 128 133 140 147 150 152 159 160 168 175 190 192 196 200 210 212 224 228 240 245 256 265 266 280 285 294 300 304 318 320 336 343 350 371 380 384 392 399 400 420 424 448 456 475 480 490 512 525 530 532 560 570 588 600 608 636 640 665 672 686 700 735 742 760 768 784 795 798 800 840 848 896 912 931 950 960 980 1007 1029 1050 1060 1064 1113 1120 1140 1176 1200 1216 1225 1272 1280 1325 1330 1344 1372 1400 1425 1470 1484 1520 1536 1568 1590 1596 1600 1680 1696 1715 1792 1824 1855 1862 1900 1920 1960 1995 2014 2058 2100 2120 2128 2226 2240 2280 2352 2400 2432 2450 2544 2560 2597 2650 2660 2688 2744 2793 2800 2850 2940 2968 3021 3040 3136 3180 3192 3200 3325 3360 3392 3430 3584 3648 3675 3710 3724 3800 3840 3920 3975 3990 4028 4116 4200 4240 4256 4452 4480 4560 4655 4704 4800 4864 4900 5035 5088 5145 5194 5300 5320 5376 5488 5565 5586 5600 5700 5880 5936 6042 6080 6272 6360 6384 6400 6517 6650 6720 6784 6860 7049 7296 7350 7420 7448 7600 7680 7791 7840 7950 7980 8056 8232 8400 8480 8512 8575 8904 8960 9120 9275 9310 9408 9600 9728 9800 9975 10070 10176 10290 10388 10600 10640 10752 10976 11130 11172 11200 11400 11760 11872 12084 12160 12544 12720 12768 12800 12985 13034 13300 13440 13568 13720 13965 14098 14592 14700 14840 14896 15105 15200 15582 15680 15900 15960 16112 16464 16800 16960 17024 17150 17808 17920 18179 18240 18550 18620 18816 19200 19551 19600 19950 20140 20352 20580 20776 21147 21200 21280 21952 22260 22344 22400 22800 23275 23520 23744 24168 24320 25088 25175 25440 25536 25725 25970 26068 26600 26880 27136 27440 27825 27930 28196 29184 29400 29680 29792 30210 30400 31164 31360 31800 31920 32224 32585 32928 33600 33920 34048 34300 35245 35616 36358 36480 37100 37240 37632 38400 38955 39102 39200 39900 40280 40704 41160 41552 42294 42400 42560 43904 44520 44688 44800 45600 46550 47040 47488 48336 48640 49343 50350 50880 51072 51450 51940 52136 53200 53760 54537 54880 55650 55860 56392 58800 59360 59584 60420 60800 62328 62720 63600 63840 64448 64925 65170 65856 67200 67840 68096 68600 69825 70490 71232 72716 72960 74200 74480 75264 75525 77910 78204 78400 79800 80560 81408 82320 83104 84588 84800 85120 87808 89040 89376 89600 90895 91200 93100 94080 94976 96672 97755 98686 100700 101760 102144 102900 103880 104272 105735 106400 109074 109760 111300 111720 112784 117600 118720 119168 120840 121600 124656 125440 127200 127680 128896 129850 130340 131712 134400 135680 137200 139650 140980 142464 145432 145920 148029 148400 148960 151050 155820 156408 156800 159600 161120 162925 164640 166208 169176 169600 170240 175616 176225 178080 178752 181790 182400 186200 188160 189952 193344 194775 195510 197372 201400 203520 204288 205800 207760 208544 211470 212800 218148 219520 222600 223440 225568 235200 237440 238336 241680 243200 246715 249312 254400 255360 257792 259700 260680 263424 268800 272685 274400 279300 281960 284928 290864 296058 296800 297920 302100 311640 312816 313600 319200 322240 325850 329280 332416 338352 339200 340480 345401 352450 356160 357504 363580 364800 372400 376320 386688 389550 391020 394744 402800 407040 411600 415520 417088 422940 425600 436296 439040 445200 446880 451136 454475 470400 474880 476672 483360 488775 493430 498624 508800 510720 515584 519400 521360 526848 528675 545370 548800 558600 563920 569856 581728 592116 593600 595840 604200 623280 625632 627200 638400 644480 651700 658560 664832 676704 678400 690802 704900 712320 715008 727160 729600 740145 744800 773376 779100 782040 789488 805600 823200 831040 834176 845880 851200 872592 878080 890400 893760 902272 908950 940800 949760 966720 977550 986860 997248 1017600 1021440 1036203 1038800 1042720 1057350 1090740 1097600 1117200 1127840 1163456 1184232 1187200 1191680 1208400 1233575 1246560 1251264 1276800 1288960 1303400 1317120 1329664 1353408 1363425 1381604 1409800 1424640 1430016 1454320 1480290 1489600 1546752 1558200 1564080 1578976 1611200 1646400 1662080 1668352 1691760 1702400 1727005 1745184 1780800 1787520 1804544 1817900 1881600 1933440 1955100 1973720 1994496 2035200 2072406 2077600 2085440 2114700 2181480 2195200 2234400 2255680 2326912 2368464 2374400 2383360 2416800 2467150 2493120 2502528 2553600 2577920 2606800 2634240 2706816 2726850 2763208 2819600 2849280 2908640 2960580 2979200 3116400 3128160 3157952 3222400 3292800 3324160 3336704 3383520 3454010 3490368 3561600 3575040 3609088 3635800 3700725 3866880 3910200 3947440 3988992 4144812 4155200 4170880 4229400 4362960 4390400 4468800 4511360 4653824 4736928 4748800 4833600 4934300 4986240 5005056 5107200 5181015 5213600 5413632 5453700 5526416 5639200 5817280 5921160 5958400 6232800 6256320 6315904 6444800 6585600 6648320 6767040 6908020 6980736 7123200 7150080 7271600 7401450 7733760 7820400 7894880 8289624 8310400 8341760 8458800 8635025 8725920 8937600 9022720 9307648 9473856 9667200 9868600 9972480 10010112 10362030 10427200 10827264 10907400 11052832 11278400 11634560 11842320 11916800 12465600 12512640 12631808 12889600 13171200 13534080 13816040 13961472 14246400 14543200 14802900 15640800 15789760 16579248 16620800 16683520 16917600 17270050 17451840 17875200 18045440 18947712 19334400 19737200 19944960 20724060 20854400 21814800 22105664 22556800 23269120 23684640 24931200 25025280 25263616 25905075 27068160 27632080 27922944 29086400 29605800 31281600 31579520 33158496 33241600 33835200 34540100 34903680 35750400 37895424 38668800 39474400 41448120 41708800 43629600 44211328 45113600 46538240 47369280 49862400 50050560 51810150 54136320 55264160 58172800 59211600 62563200 63159040 66316992 67670400 69080200 69807360 75790848 78948800 82896240 83417600 87259200 88422656 90227200 94738560 99724800 103620300 110528320 116345600 118423200 125126400 126318080 132633984 135340800 138160400 139614720 157897600 165792480 174518400 176845312 189477120 207240600 221056640 232691200 236846400 250252800 265267968 270681600 276320800 315795200 331584960 349036800 378954240 414481200 442113280 473692800 530535936 552641600 631590400 663169920 698073600 828962400 884226560 947385600 1105283200 1326339840 1657924800 1894771200 2210566400 2652679680 3315849600 4421132800 6631699200 13263398400
- Sum of all divisors σ(n): 54800064000
- Sum of proper divisors (its aliquot sum) s(n): 41536665600
- 13263398400 is an abundant number, because the sum of its proper divisors (41536665600) is greater than itself. Its abundance is 28273267200
Bases of 13263398400
- Binary: 11000101101000111101100110000000002
- Hexadecimal: 0x3168F6600
- Base-36: 63CONPC
Squares and roots of 13263398400
- 13263398400 squared (132633984002) is 175917737117122560000
- 13263398400 cubed (132633984003) is 2333267033010863974907904000000
-
The
square root of 13263398400 is 115166.8285575321 -
The
cube root of 13263398400 is 2367.1090816989
Scales and comparisons
How big is 13263398400?- 13,263,398,400 seconds is equal to 421 years, 38 weeks, 1 day, 13 hours, 20 minutes.
-
To count from 1 to 13,263,398,400 would take you about eight hundred forty-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 13263398400 cubic inches would be around 197.3 feet tall.
Recreational maths with 13263398400
- 13263398400 backwards is 00489336231
- The number of decimal digits it has is: 11
- The sum of 13263398400's digits is 39
- More coming soon!
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