238148742384

Names of 238148742384

• Cardinal: 238148742384 can be written as Two hundred thirty-eight billion, one hundred forty-eight million, seven hundred forty-two thousand, three hundred eighty-four.

Scientific notation

• Scientific notation: 2.38148742384 × 10¹¹

Factors of 238148742384

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 680

Divisors of 238148742384

• Number of divisors d(n): 960
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 17 18 19 21 24 27 28 34 36 38 42 48 49 51 54 56 57 61 63 68 72 76 84 98 102 108 112 114 119 122 126 133 136 144 147 152 153 168 171 183 189 196 204 216 228 238 244 252 266 272 294 304 306 323 336 342 357 366 378 392 399 408 427 432 441 456 459 476 488 504 513 532 549 571 588 612 646 684 714 732 756 784 798 816 833 854 882 912 918 931 952 969 976 1008 1026 1037 1064 1071 1098 1142 1159 1176 1197 1224 1281 1292 1323 1368 1428 1464 1512 1596 1647 1666 1708 1713 1764 1836 1862 1904 1938 2052 2074 2128 2142 2196 2261 2284 2318 2352 2394 2448 2499 2562 2584 2646 2736 2793 2856 2907 2928 2989 3024 3111 3192 3213 3294 3332 3416 3426 3477 3528 3591 3672 3724 3843 3876 3997 4104 4148 4284 4392 4522 4568 4636 4788 4998 5124 5139 5168 5292 5586 5712 5814 5978 6222 6384 6426 6588 6664 6783 6832 6852 6954 7056 7182 7259 7344 7448 7497 7686 7752 7994 8113 8208 8296 8379 8568 8721 8784 8967 9044 9136 9272 9333 9576 9707 9996 10248 10278 10431 10584 10849 11172 11529 11628 11956 11991 12444 12852 13176 13328 13566 13704 13908 14364 14518 14896 14994 15372 15417 15504 15827 15988 16226 16592 16758 17136 17442 17934 18088 18544 18666 19152 19414 19703 19992 20349 20496 20556 20862 21168 21698 21777 22344 22491 23058 23256 23912 23982 24339 24888 25137 25704 26352 26901 27132 27408 27816 27979 27999 28728 29036 29121 29988 30744 30834 31293 31654 31976 32452 32547 33516 34831 34884 35868 35973 36176 37332 38828 39406 39984 40698 41112 41724 43396 43554 44688 44982 46116 46512 47481 47824 47964 48678 49776 50274 50813 51408 53802 54264 55632 55958 55998 56791 57456 58072 58242 59109 59976 61047 61488 61668 62586 63308 63952 64904 65094 65331 67032 67949 69662 69768 71736 71946 73017 74664 75943 77656 78812 80703 81396 82224 83448 83937 86792 87108 87363 89964 92232 94962 95928 97356 97641 100548 101626 104493 107604 107919 108528 111916 111996 113582 116144 116484 118218 119952 122094 123336 125172 126616 129808 130188 130662 134064 135898 137921 139324 139536 142443 143472 143892 146034 149328 151886 152439 155312 157624 161406 162792 166896 167874 170373 173584 174216 174726 177327 179928 184433 184464 189924 191856 194712 195282 195993 201096 203252 203847 208986 215208 215838 219051 223832 223992 227164 227829 232968 236436 243817 244188 246672 250344 251811 253232 260376 261324 262089 271796 275842 278648 284886 287784 292068 292923 303772 304878 313479 315248 322812 325584 335748 340746 348432 349452 354654 359856 368866 379848 389424 390564 391986 402192 406504 407694 413763 417972 427329 430416 431676 438102 447664 447984 454328 455658 457317 465936 472872 475643 487634 488376 500688 503622 511119 520752 522648 524178 531601 531981 543592 551684 553299 557296 569772 575568 584136 585846 592127 607544 609756 611541 626958 645624 661789 671496 681492 683487 698904 709308 731451 737732 755433 759696 781128 783972 813008 815388 827526 835944 854658 863352 876204 908656 911316 914634 940437 945744 951286 965447 975268 976752 1007244 1022238 1045296 1048356 1063202 1063962 1087184 1103368 1106598 1139544 1168272 1171692 1184254 1215088 1219512 1223082 1241289 1253916 1291031 1291248 1323578 1342992 1362984 1366974 1371951 1397808 1418616 1426929 1462902 1475464 1510866 1533357 1562256 1567944 1594803 1630776 1655052 1659897 1671888 1706719 1709316 1726704 1752408 1776381 1822632 1829268 1834623 1880874 1902572 1930894 1950536 1985367 2014488 2044476 2050461 2096712 2126404 2127924 2194353 2206736 2213196 2279088 2343384 2368508 2439024 2446164 2482578 2507832 2582062 2647156 2725968 2733948 2743902 2837232 2853858 2896341 2925804 2950928 3021732 3066714 3135888 3189606 3261552 3310104 3319794 3413438 3418632 3504816 3552762 3645264 3658536 3669246 3723867 3761748 3805144 3861788 3873093 3901072 3970734 4028976 4088952 4100922 4144889 4193424 4252808 4255848 4280787 4388706 4426392 4632523 4686768 4737016 4784409 4892328 4965156 4979691 5015664 5120157 5164124 5294312 5329143 5467896 5487804 5707716 5792682 5851608 5956101 6043464 6133428 6379212 6583059 6620208 6639588 6826876 6837264 7105524 7317072 7338492 7447734 7523496 7610288 7723576 7746186 7941468 8177904 8201844 8289778 8505616 8511696 8561574 8689023 8777412 8852784 9037217 9265046 9474032 9568818 9784656 9930312 9959382 10240314 10328248 10588624 10658286 10935792 10975608 11250413 11415432 11585364 11619279 11703216 11912202 12086928 12266856 12434667 12758424 12842361 13166118 13279176 13653752 13897569 14211048 14353227 14676984 14895468 15046992 15360471 15447152 15492372 15882936 15987429 16403688 16579556 17123148 17378046 17554824 17868303 18074434 18530092 19137636 19860624 19918764 20480628 20656496 21316572 21951216 22500826 22830864 23170728 23238558 23824404 24533712 24869334 25516848 25684722 26067069 26332236 26558352 27111651 27307504 27795138 28422096 28706454 29014223 29353968 29790936 30720942 30984744 31765872 31974858 32427661 32807376 33159112 33751239 34246296 34756092 34857837 35109648 35736606 36148868 37060184 37304001 38275272 39837528 40961256 41692707 42633144 45001652 46081413 46341456 46477116 47648808 49738668 51369444 52134138 52664472 54223302 55590276 57412908 58028446 59581872 61441884 61969488 63949716 64855322 66318224 67502478 68492592 69512184 69715674 71473212 72297736 74120368 74608002 76550544 78752891 79675056 81334953 81922512 83385414 85266288 87042669 90003304 92162826 92954232 95297616 97282983 99477336 101253717 102738888 104268276 105328944 108446604 111180552 111912003 114825816 116056892 122883768 125078121 127899432 129710644 135004956 139024368 139431348 142946424 144595472 149216004 157505782 162669906 166770828 174085338 180006608 184325652 185908464 194565966 198954672 202507434 205477776 208536552 216893208 222361104 223824006 229651632 232113784 236258673 244004859 245767536 250156242 255798864 259421288 261128007 270009912 278862696 285892848 291848949 298432008 303761151 315011564 325339812 333541656 348170676 368651304 389131932 405014868 417073104 433786416 447648012 464227568 472517346 488009718 500312484 518842576 522256014 540019824 551270237 557725392 583697898 596864016 607522302 630023128 650679624 667083312 696341352 708776019 737302608 778263864 783384021 810029736 875546847 895296024 945034692 976019436 1000624968 1044512028 1102540474 1167395796 1215044604 1260046256 1301359248 1392682704 1417552038 1556527728 1566768042 1620059472 1653810711 1751093694 1790592048 1890069384 1952038872 2001249936 2089024056 2126328057 2205080948 2334791592 2430089208 2835104076 3133536084 3307621422 3502187388 3780138768 3904077744 4178048112 4252656114 4410161896 4669583184 4860178416 4961432133 5670208152 6267072168 6615242844 7004374776 8505312228 8820323792 9922864266 11340416304 12534144336 13230485688 14008749552 14884296399 17010624456 19845728532 26460971376 29768592798 34021248912 39691457064 59537185596 79382914128 119074371192 238148742384
• Sum of all divisors σ(n): 902374387200
• Sum of proper divisors (its aliquot sum) s(n): 664225644816
• 238148742384 is an abundant number, because the sum of its proper divisors (664225644816) is greater than itself. Its abundance is 426076902432

Bases of 238148742384

• Binary: 11011101110010110001010110110011110000₂
• Hexadecimal: 0x3772C56CF0
• Base-36: 31EJM1O0

Squares and roots of 238148742384

• 238148742384 squared (238148742384²) is 56714823499080798003456
• 238148742384 cubed (238148742384³) is 13506563890836622424526184485679104
• The square root of 238148742384 is 488004.8589758097
• The cube root of 238148742384 is 6198.4451736259

Scales and comparisons

• 238,148,742,384 seconds is equal to 7,572 years, 20 weeks, 3 days, 4 hours, 26 minutes, 24 seconds.
• To count from 1 to 238,148,742,384 would take you about fifteen thousand, one hundred forty-four 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 238148742384 cubic inches would be around 516.5 feet tall.

Recreational maths with 238148742384

• 238148742384 backwards is 483247841832
• 238148742384 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 238148742384's digits is 54
• More coming soon!