13197766400
13,197,766,400 is an even composite number composed of seven prime numbers multiplied together.
13197766400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 13197766400:
28 × 52 × 7 × 13 × 17 × 31 × 43
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 13 × 17 × 31 × 43)See below for interesting mathematical facts about the number 13197766400 from the Numbermatics database.
Names of 13197766400
- Cardinal: 13197766400 can be written as Thirteen billion, one hundred ninety-seven million, seven hundred sixty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.31977664 × 1010
Factors of 13197766400
Divisors of 13197766400
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 17 20 25 26 28 31 32 34 35 40 43 50 52 56 62 64 65 68 70 80 85 86 91 100 104 112 119 124 128 130 136 140 155 160 170 172 175 182 200 208 215 217 221 224 238 248 256 260 272 280 301 310 320 325 340 344 350 364 400 403 416 425 430 434 442 448 455 476 496 520 527 544 559 560 595 602 620 640 650 680 688 700 728 731 775 800 806 832 850 860 868 884 896 910 952 992 1040 1054 1075 1085 1088 1105 1118 1120 1190 1204 1240 1280 1300 1333 1360 1376 1400 1456 1462 1505 1547 1550 1600 1612 1664 1700 1720 1736 1768 1792 1820 1904 1984 2015 2080 2108 2150 2170 2176 2210 2236 2240 2275 2380 2408 2480 2600 2635 2666 2720 2752 2795 2800 2821 2912 2924 2975 3010 3094 3100 3200 3224 3328 3400 3440 3472 3536 3640 3655 3689 3808 3913 3968 4030 4160 4216 4300 4340 4352 4420 4472 4480 4550 4760 4816 4960 5117 5200 5270 5332 5425 5440 5504 5525 5590 5600 5642 5824 5848 5950 6020 6188 6200 6400 6448 6665 6800 6851 6880 6944 7072 7280 7310 7378 7525 7616 7735 7826 7936 8060 8320 8432 8600 8680 8840 8944 8960 9100 9331 9503 9520 9632 9920 10075 10234 10400 10540 10664 10850 10880 11008 11050 11180 11200 11284 11648 11696 11900 12040 12376 12400 12896 13175 13330 13600 13702 13760 13888 13975 14105 14144 14560 14620 14756 15050 15232 15470 15652 16120 16640 16864 17200 17329 17360 17680 17888 18200 18275 18445 18662 19006 19040 19264 19565 19840 20150 20468 20800 21080 21328 21700 21760 22100 22360 22400 22568 22661 23296 23392 23800 24080 24752 24800 25585 25792 26350 26660 27200 27404 27520 27776 27950 28210 28288 29120 29240 29512 30100 30464 30940 31304 32240 33325 33728 34255 34400 34658 34720 35360 35776 36400 36550 36890 37324 38012 38080 38528 38675 39130 39680 40300 40936 41600 42160 42656 43400 44200 44720 44800 45136 45322 46655 46784 47515 47600 47957 48160 49504 49600 51170 51584 52700 53320 54400 54808 55040 55552 55900 56420 56576 58240 58480 59024 60200 61880 62608 64480 66521 66650 67456 68510 68800 69316 69440 70525 70720 71552 72800 73100 73780 74648 76024 76160 77056 77350 78260 80600 81872 83200 84320 85312 86645 86800 88400 89440 90272 90644 92225 93310 93568 95030 95200 95914 96320 97825 99008 99200 102340 103168 105400 106640 108800 109616 111800 112840 113305 116480 116960 118048 120400 121303 123760 125216 127925 128960 133042 133300 134912 137020 137600 138632 138880 141050 141440 143104 145600 146200 147560 149296 152048 152320 154700 156520 158627 161200 163744 168640 170624 171275 173290 173600 176800 178880 180544 181288 184450 186620 187136 190060 190400 191828 192640 195650 198016 198400 204680 210800 213280 219232 223600 225680 226610 233275 233920 236096 237575 239785 240800 242606 247520 250432 255850 257920 266084 266600 274040 275200 277264 277760 282100 282880 291200 292400 294593 295120 298592 304096 309400 313040 317254 322400 327488 332605 337280 341248 342550 346580 347200 353600 357760 361088 362576 368900 373240 380120 380800 383656 385280 391300 396032 409360 421600 426560 433225 438464 447200 451360 453220 466550 467840 472192 475150 479570 481600 485212 495040 500864 511700 515840 532168 533200 548080 554528 564200 566525 582400 584800 589186 590240 597184 606515 608192 618800 626080 634508 644800 654976 665210 674560 685100 693160 694400 707200 715520 722176 725152 737800 746480 760240 761600 767312 782600 793135 818720 843200 853120 866450 876928 894400 902720 906440 933100 935680 944384 950300 959140 963200 970424 990080 1001728 1023400 1064336 1066400 1096160 1109056 1128400 1133050 1169600 1178372 1180480 1194368 1198925 1213030 1216384 1237600 1252160 1269016 1289600 1309952 1330420 1370200 1386320 1388800 1414400 1450304 1472965 1475600 1492960 1520480 1534624 1565200 1586270 1637440 1663025 1686400 1706240 1732900 1753856 1788800 1805440 1812880 1866200 1900600 1918280 1926400 1940848 1980160 2046800 2062151 2128672 2132800 2192320 2218112 2256800 2266100 2339200 2356744 2360960 2388736 2397850 2426060 2432768 2475200 2504320 2538032 2579200 2660840 2740400 2772640 2900608 2945930 2951200 2985920 3032575 3040960 3069248 3130400 3172540 3274880 3326050 3372800 3465800 3577600 3610880 3625760 3732400 3801200 3836560 3881696 3965675 4093600 4124302 4257344 4265600 4384640 4436224 4513600 4532200 4678400 4713488 4721920 4795700 4852120 4950400 5008640 5076064 5321680 5480800 5545280 5801216 5891860 5902400 5971840 6065150 6081920 6138496 6260800 6345080 6549760 6652100 6931600 7251520 7364825 7464800 7602400 7673120 7763392 7931350 8187200 8248604 8514688 8531200 8769280 9027200 9064400 9426976 9591400 9704240 9900800 10152128 10310755 10643360 10961600 11090560 11783720 11804800 11943680 12130300 12163840 12276992 12521600 12690160 13304200 13863200 14503040 14729650 14929600 15204800 15346240 15526784 15862700 16374400 16497208 17029376 18054400 18128800 18853952 19182800 19408480 20304256 20621510 21286720 21923200 22181120 23567440 23609600 24260600 25043200 25380320 26608400 27726400 29006080 29459300 29859200 30409600 30692480 31053568 31725400 32748800 32994416 36257600 37707904 38365600 38816960 40608512 41243020 42573440 43846400 47134880 48521200 50760640 51553775 53216800 55452800 58918600 59718400 60819200 61384960 63450800 65988832 72515200 75415808 76731200 77633920 82486040 85146880 94269760 97042400 101521280 103107550 106433600 110905600 117837200 126901600 131977664 145030400 153462400 155267840 164972080 188539520 194084800 203042560 206215100 212867200 235674400 253803200 263955328 306924800 329944160 377079040 388169600 412430200 425734400 471348800 507606400 527910656 659888320 776339200 824860400 942697600 1015212800 1319776640 1649720800 1885395200 2639553280 3299441600 6598883200 13197766400
- Sum of all divisors σ(n): 44965122048
- Sum of proper divisors (its aliquot sum) s(n): 31767355648
- 13197766400 is an abundant number, because the sum of its proper divisors (31767355648) is greater than itself. Its abundance is 18569589248
Bases of 13197766400
- Binary: 11000100101010010111101111000000002
- Hexadecimal: 0x312A5EF00
- Base-36: 629LXQ8
Squares and roots of 13197766400
- 13197766400 squared (131977664002) is 174181037948968960000
- 13197766400 cubed (131977664003) is 2298800650160027454930944000000
-
The
square root of 13197766400 is 114881.5320232107 -
The
cube root of 13197766400 is 2363.1981919701
Scales and comparisons
How big is 13197766400?- 13,197,766,400 seconds is equal to 419 years, 33 weeks, 4 days, 22 hours, 13 minutes, 20 seconds.
-
To count from 1 to 13,197,766,400 would take you about eight hundred thirty-nine 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 13197766400 cubic inches would be around 196.9 feet tall.
Recreational maths with 13197766400
- 13197766400 backwards is 00466779131
- The number of decimal digits it has is: 11
- The sum of 13197766400's digits is 44
- More coming soon!
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