398400153785424

Names of 398400153785424

• Cardinal: 398400153785424 can be written as Three hundred ninety-eight trillion, four hundred billion, one hundred fifty-three million, seven hundred eighty-five thousand, four hundred twenty-four.

Scientific notation

• Scientific notation: 3.98400153785424 × 10¹⁴

Factors of 398400153785424

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 6222

Divisors of 398400153785424

• Number of divisors d(n): 450
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 81 84 98 108 112 126 144 147 162 168 189 196 216 252 294 324 336 378 392 432 441 504 567 588 648 756 784 882 1008 1109 1134 1176 1296 1323 1512 1764 2218 2268 2352 2646 3024 3327 3528 3969 4436 4536 5101 5292 6654 7056 7763 7938 8872 9072 9981 10202 10584 13308 15303 15526 15876 17744 19962 20404 21168 23289 26616 29943 30606 31052 31752 35707 39924 40808 45909 46578 53232 54341 59886 61212 62104 63504 69867 71414 79848 81616 89829 91818 93156 107121 108682 119772 122424 124208 137727 139734 142828 159696 163023 179658 183636 186312 209601 214242 217364 239544 244848 249949 275454 279468 285656 321363 326046 359316 367272 372624 413181 419202 428484 434728 479088 489069 499898 550908 558936 571312 628803 642726 652092 718632 734544 749847 826362 838404 856968 869456 964089 978138 999796 1101816 1117872 1229881 1257606 1285452 1304184 1437264 1467207 1499694 1652724 1676808 1713936 1928178 1956276 1999592 2203632 2249541 2459762 2515212 2570904 2608368 2892267 2934414 2999388 3305448 3353616 3689643 3856356 3912552 3999184 4401621 4499082 4919524 5030424 5141808 5657009 5784534 5868828 5998776 6610896 6748623 7379286 7712712 7825104 8609167 8803242 8998164 9839048 10060848 11068929 11314018 11569068 11737656 11997552 13497246 14758572 15425424 16971027 17218334 17606484 17996328 19678096 20245869 22137858 22628036 23138136 23475312 25827501 26994492 29517144 33206787 33942054 34436668 35212968 35992656 39599063 40491738 44275716 45256072 46276272 50913081 51655002 53988984 59034288 60264169 66413574 67884108 68873336 70425936 77482503 79198126 80983476 88551432 90512144 99620361 101826162 103310004 107977968 118797189 120528338 132827148 135768216 137746672 152739243 154965006 158396252 161966952 177102864 180792507 199240722 203652324 206620008 232447509 237594378 241056676 265654296 271536432 277193441 305478486 309930012 316792504 323933904 356391567 361585014 398481444 407304648 413240016 458217729 464895018 475188756 482113352 531308592 542377521 554386882 610956972 619860024 633585008 697342527 712783134 723170028 796962888 814609296 831580323 916435458 929790036 950377512 964226704 1069174701 1084755042 1108773764 1221913944 1239720048 1394685054 1425566268 1446340056 1593925776 1627132563 1663160646 1832870916 1859580072 1900755024 2138349402 2169510084 2217547528 2443827888 2494740969 2789370108 2851132536 2892680112 3207524103 3254265126 3326321292 3665741832 3719160144 4276698804 4339020168 4435095056 4881397689 4989481938 5578740216 5702265072 6273622981 6415048206 6508530252 6652642584 7331483664 7484222907 8553397608 8678040336 9762795378 9978963876 11157480432 12547245962 12830096412 13017060504 13305285168 14968445814 17106795216 18820868943 19525590756 19957927752 22452668721 25094491924 25660192824 26034121008 29936891628 37641737886 39051181512 39915855504 43915360867 44905337442 50188983848 51320385648 56462606829 59873783256 75283475772 78102363024 87830721734 89810674884 100377967696 112925213658 119747566512 131746082601 150566951544 169387820487 175661443468 179621349768 225850427316 263492165202 301133903088 307407526069 338775640974 351322886936 359242699536 395238247803 451700854632 508163461461 526984330404 614815052138 677551281948 702645773872 790476495606 903401709264 922222578207 1016326922922 1053968660808 1185714743409 1229630104276 1355102563896 1580952991212 1844445156414 2032653845844 2107937321616 2371429486818 2459260208552 2710205127792 2766667734621 3161905982424 3557144230227 3688890312828 4065307691688 4742858973636 4918520417104 5533335469242 6323811964848 7114288460454 7377780625656 8130615383376 8300003203863 9485717947272 11066670938484 14228576920908 14755561251312 16600006407726 18971435894544 22133341876968 24900009611589 28457153841816 33200012815452 44266683753936 49800019223178 56914307683632 66400025630904 99600038446356 132800051261808 199200076892712 398400153785424
• Sum of all divisors σ(n): 1342818301944174
• Sum of proper divisors (its aliquot sum) s(n): 944418148158750
• 398400153785424 is an abundant number, because the sum of its proper divisors (944418148158750) is greater than itself. Its abundance is 546017994373326

Bases of 398400153785424

• Binary: 1011010100101011111000011101001010001010001010000₂
• Hexadecimal: 0x16A57C3A51450
• Base-36: 3X7YI56D00

Squares and roots of 398400153785424

• 398400153785424 squared (398400153785424²) is 158722682536249493156634859776
• 398400153785424 cubed (398400153785424³) is 63235141131676830328127003012948723832705024
• The square root of 398400153785424 is 19959963.7721470827
• The cube root of 398400153785424 is 73582.2673209637

Scales and comparisons

• 398,400,153,785,424 seconds is equal to 12,667,892 years, 29 weeks, 50 minutes, 24 seconds.
• To count from 1 to 398,400,153,785,424 would take you about thirty-one million, six hundred sixty-nine thousand, seven hundred thirty-one 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 398400153785424 cubic inches would be around 6131.9 feet tall.

Recreational maths with 398400153785424

• 398400153785424 backwards is 424587351004893
• 398400153785424 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 398400153785424's digits is 63
• More coming soon!