137444966400

Names of 137444966400

• Cardinal: 137444966400 can be written as One hundred thirty-seven billion, four hundred forty-four million, nine hundred sixty-six thousand, four hundred.

Scientific notation

• Scientific notation: 1.374449664 × 10¹¹

Factors of 137444966400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 65

Divisors of 137444966400

• Number of divisors d(n): 1080
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 25 28 29 30 32 35 38 40 42 48 50 56 57 58 60 64 70 75 76 80 84 87 95 96 100 105 112 114 116 120 128 133 140 145 150 152 160 168 174 175 190 192 200 203 210 224 228 232 240 256 266 280 285 290 300 304 320 336 348 350 380 384 399 400 406 420 435 448 456 464 475 480 512 525 532 551 560 570 580 600 608 609 640 665 672 696 700 725 760 768 798 800 812 840 841 870 896 912 928 950 960 1015 1024 1050 1064 1102 1120 1140 1160 1200 1216 1218 1280 1330 1344 1392 1400 1425 1450 1520 1536 1596 1600 1624 1653 1680 1682 1740 1792 1824 1856 1900 1920 1995 2030 2048 2100 2128 2175 2204 2240 2280 2320 2400 2432 2436 2523 2560 2660 2688 2755 2784 2800 2850 2900 3040 3045 3072 3192 3200 3248 3306 3325 3360 3364 3480 3584 3648 3712 3800 3840 3857 3990 4060 4096 4200 4205 4256 4350 4408 4480 4560 4640 4800 4864 4872 5046 5075 5120 5320 5376 5510 5568 5600 5700 5800 5887 6080 6090 6144 6384 6400 6496 6612 6650 6720 6728 6960 7168 7296 7424 7600 7680 7714 7980 8120 8192 8265 8400 8410 8512 8700 8816 8960 9120 9280 9600 9728 9744 9975 10092 10150 10240 10640 10752 11020 11136 11200 11400 11571 11600 11774 12160 12180 12288 12615 12768 12800 12992 13224 13300 13440 13456 13775 13920 14336 14592 14848 15200 15225 15360 15428 15960 15979 16240 16384 16530 16800 16820 17024 17400 17632 17661 17920 18240 18560 19200 19285 19456 19488 19950 20184 20300 20480 21025 21280 21504 22040 22272 22400 22800 23142 23200 23548 24320 24360 24576 25230 25536 25600 25984 26448 26600 26880 26912 27550 27840 28672 29184 29435 29696 30400 30450 30720 30856 31920 31958 32480 33060 33600 33640 34048 34800 35264 35322 35840 36480 37120 38400 38570 38912 38976 39900 40368 40600 40960 41325 42050 42560 43008 44080 44544 44800 45600 46284 46400 47096 47937 48640 48720 49152 50460 51072 51200 51968 52896 53200 53760 53824 55100 55680 57344 57855 58368 58870 59392 60800 60900 61440 61712 63075 63840 63916 64960 66120 67200 67280 68096 69600 70528 70644 71680 72960 74240 76800 77140 77824 77952 79800 79895 80736 81200 81920 82650 84100 85120 86016 88160 88305 89088 89600 91200 92568 92800 94192 95874 96425 97280 97440 100920 102144 102400 103936 105792 106400 107520 107648 110200 111360 111853 114688 115710 116736 117740 118784 121600 121800 122880 123424 126150 127680 127832 129920 132240 134400 134560 136192 139200 141056 141288 143360 145920 147175 148480 153600 154280 155648 155904 159600 159790 161472 162400 165300 168200 170240 172032 176320 176610 178176 179200 182400 185136 185600 188384 191748 192850 194560 194880 201840 204288 204800 207872 211584 212800 215040 215296 220400 222720 223706 231420 233472 235480 237568 239685 243200 243600 245760 246848 252300 255360 255664 259840 264480 268800 269120 272384 278400 282112 282576 286720 289275 291840 294350 296960 307200 308560 311296 311808 319200 319580 322944 324800 330600 335559 336400 340480 344064 352640 353220 356352 358400 364800 370272 371200 376768 383496 385700 389120 389760 399475 403680 408576 409600 415744 423168 425600 430080 430592 440800 441525 445440 447412 462840 466944 470960 475136 479370 486400 487200 493696 504600 510720 511328 519680 528960 537600 538240 544768 556800 559265 564224 565152 573440 578550 583680 588700 593920 614400 617120 623616 638400 639160 645888 649600 661200 671118 672800 680960 705280 706440 712704 716800 729600 740544 742400 753536 766992 771400 778240 779520 798950 807360 817152 831488 846336 851200 860160 861184 881600 883050 890880 894824 925680 933888 941920 958740 972800 974400 987392 1009200 1021440 1022656 1039360 1057920 1075200 1076480 1089536 1113600 1118530 1128448 1130304 1157100 1167360 1177400 1187840 1198425 1228800 1234240 1247232 1276800 1278320 1291776 1299200 1322400 1342236 1345600 1361920 1410560 1412880 1425408 1433600 1459200 1481088 1484800 1507072 1533984 1542800 1556480 1559040 1597900 1614720 1634304 1662976 1677795 1692672 1702400 1720320 1722368 1763200 1766100 1781760 1789648 1851360 1883840 1917480 1945600 1948800 1974784 2018400 2042880 2045312 2078720 2115840 2150400 2152960 2179072 2227200 2237060 2256896 2260608 2314200 2334720 2354800 2375680 2396850 2468480 2494464 2553600 2556640 2583552 2598400 2644800 2684472 2691200 2723840 2796325 2821120 2825760 2867200 2918400 2962176 2969600 3014144 3067968 3085600 3118080 3195800 3229440 3268608 3325952 3355590 3385344 3404800 3444736 3526400 3532200 3563520 3579296 3702720 3767680 3834960 3891200 3897600 3949568 4036800 4085760 4090624 4157440 4231680 4300800 4305920 4454400 4474120 4513792 4521216 4628400 4669440 4709600 4793700 4936960 4988928 5107200 5113280 5167104 5196800 5289600 5368944 5382400 5447680 5592650 5642240 5651520 5836800 5924352 5939200 6028288 6135936 6171200 6236160 6391600 6458880 6537216 6711180 6770688 6809600 6889472 7052800 7064400 7127040 7158592 7405440 7535360 7669920 7782400 7795200 7899136 8073600 8171520 8181248 8314880 8388975 8463360 8601600 8611840 8908800 8948240 9027584 9042432 9256800 9419200 9587400 9873920 9977856 10214400 10226560 10334208 10393600 10579200 10737888 10764800 10895360 11185300 11284480 11303040 11673600 11848704 11878400 12056576 12271872 12342400 12472320 12783200 12917760 13422360 13541376 13619200 13778944 14105600 14128800 14317184 14810880 15070720 15339840 15590400 15798272 16147200 16343040 16362496 16629760 16777950 16926720 17223680 17817600 17896480 18084864 18513600 18838400 19174800 19747840 20428800 20453120 20668416 20787200 21158400 21475776 21529600 22370600 22568960 22606080 23347200 23697408 24113152 24543744 24684800 24944640 25566400 25835520 26844720 27082752 27238400 28211200 28257600 28634368 29621760 30141440 30679680 31180800 31596544 32294400 32686080 32724992 33555900 33853440 34447360 35635200 35792960 36169728 37027200 37676800 38349600 39495680 40857600 40906240 41336832 41574400 42316800 42951552 43059200 44741200 45137920 45212160 47394816 48226304 49087488 49369600 49889280 51132800 51671040 53689440 54476800 56422400 56515200 57268736 59243520 60282880 61359360 62361600 63193088 64588800 65449984 67111800 67706880 68894720 71585920 72339456 74054400 75353600 76699200 78991360 81715200 81812480 83148800 84633600 85903104 86118400 89482400 90424320 94789632 96452608 98174976 98739200 102265600 103342080 107378880 112844800 113030400 114537472 118487040 120565760 122718720 124723200 129177600 130899968 134223600 135413760 143171840 144678912 148108800 150707200 153398400 157982720 163430400 163624960 169267200 171806208 172236800 178964800 180848640 189579264 196349952 197478400 204531200 206684160 214757760 225689600 226060800 229074944 236974080 241131520 245437440 249446400 258355200 261799936 268447200 286343680 289357824 296217600 301414400 306796800 315965440 327249920 338534400 343612416 344473600 357929600 361697280 392699904 394956800 409062400 429515520 452121600 458149888 473948160 482263040 490874880 516710400 536894400 572687360 592435200 602828800 613593600 654499840 677068800 687224832 715859200 723394560 785399808 789913600 818124800 859031040 904243200 916299776 947896320 981749760 1033420800 1073788800 1145374720 1184870400 1205657600 1227187200 1308999680 1374449664 1431718400 1446789120 1579827200 1636249600 1718062080 1808486400 1832599552 1963499520 2147577600 2290749440 2369740800 2411315200 2454374400 2748899328 2863436800 3272499200 3436124160 3616972800 3926999040 4295155200 4581498880 4739481600 4908748800 5497798656 5726873600 6544998400 6872248320 7233945600 8590310400 9162997760 9817497600 11453747200 13744496640 17180620800 19634995200 22907494400 27488993280 34361241600 45814988800 68722483200 137444966400
• Sum of all divisors σ(n): 566234730880
• Sum of proper divisors (its aliquot sum) s(n): 428789764480
• 137444966400 is an abundant number, because the sum of its proper divisors (428789764480) is greater than itself. Its abundance is 291344798080

Bases of 137444966400

• Binary: 10000000000000010110111100000000000000₂
• Hexadecimal: 0x20005BC000
• Base-36: 1R536MTC

Squares and roots of 137444966400

• 137444966400 squared (137444966400²) is 18891118788697128960000
• 137444966400 cubed (137444966400³) is 2596489187170885589683666944000000
• The square root of 137444966400 is 370735.7096369327
• The cube root of 137444966400 is 5160.7118782279

Scales and comparisons

• 137,444,966,400 seconds is equal to 4,370 years, 16 weeks, 6 days, 5 hours, 20 minutes.
• To count from 1 to 137,444,966,400 would take you about eight thousand, seven hundred forty 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 137444966400 cubic inches would be around 430.1 feet tall.

Recreational maths with 137444966400

• 137444966400 backwards is 004669444731
• 137444966400 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137444966400's digits is 48
• More coming soon!