146372138640

Names of 146372138640

• Cardinal: 146372138640 can be written as One hundred forty-six billion, three hundred seventy-two million, one hundred thirty-eight thousand, six hundred forty.

Scientific notation

• Scientific notation: 1.4637213864 × 10¹¹

Factors of 146372138640

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 980

Divisors of 146372138640

• Number of divisors d(n): 960
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 27 28 30 35 36 39 40 42 45 48 52 54 56 60 63 65 70 72 78 80 81 84 90 91 97 104 105 108 112 117 120 126 130 135 140 144 156 162 168 180 182 189 194 195 208 210 216 234 240 243 252 260 270 273 280 291 312 315 324 336 351 360 364 378 388 390 405 420 432 455 468 485 486 504 520 540 546 560 567 582 585 624 630 648 679 702 720 728 756 776 780 810 819 840 853 873 910 936 945 970 972 1008 1040 1053 1080 1092 1134 1164 1170 1215 1260 1261 1296 1358 1365 1404 1455 1456 1512 1552 1560 1620 1638 1680 1701 1706 1746 1755 1820 1872 1890 1940 1944 2037 2106 2160 2184 2268 2328 2340 2430 2457 2520 2522 2559 2619 2716 2730 2808 2835 2910 3024 3120 3159 3240 3276 3395 3402 3412 3492 3510 3640 3780 3783 3880 3888 4074 4095 4212 4265 4365 4368 4536 4656 4680 4860 4914 5040 5044 5118 5238 5265 5432 5460 5616 5670 5820 5971 6111 6305 6318 6480 6552 6790 6804 6824 6984 7020 7280 7371 7560 7566 7677 7760 7857 8148 8190 8424 8505 8530 8730 8827 9072 9360 9720 9828 10088 10185 10236 10476 10530 10864 10920 11089 11340 11349 11640 11942 12222 12285 12610 12636 12795 13095 13104 13580 13608 13648 13968 14040 14742 15120 15132 15354 15714 15795 16296 16380 16848 17010 17060 17460 17654 17913 18333 18915 19440 19656 20176 20370 20472 20952 21060 21840 22113 22178 22680 22698 23031 23280 23571 23884 24444 24570 25220 25272 25590 26190 26481 27160 27216 28080 29484 29855 30264 30555 30708 31428 31590 32592 32760 33267 34020 34047 34120 34920 35308 35826 36666 36855 37830 38385 39285 39312 40740 40944 41904 42120 44135 44226 44356 45360 45396 46062 47142 47768 48888 49140 50440 50544 51180 52380 52962 53739 54320 54999 55445 56745 58968 59710 60528 61110 61416 62856 63180 65520 66534 68040 68094 68240 69093 69840 70616 71652 73332 73710 75660 76770 77623 78570 79443 81480 82741 84240 88270 88452 88712 89565 90792 91665 92124 94284 95536 97776 98280 99801 100880 102141 102360 104760 105924 107478 109998 110565 110890 113490 115155 117855 117936 119420 122220 122832 125712 126360 132405 133068 136080 136188 138186 141232 143304 146664 147420 151320 153540 155246 157140 158886 161217 162960 164997 165482 166335 170235 176540 176904 177424 179130 181584 183330 184248 188568 196560 199602 204282 204720 207279 209520 211848 214956 219996 221130 221780 226980 230310 232869 235710 238329 238840 244440 248223 252720 264810 266136 268695 272376 274995 276372 286608 293328 294840 299403 302640 306423 307080 310492 314280 317772 322434 329994 330964 332670 340470 345465 353080 353808 358260 366660 368496 377136 388115 397215 399204 408564 413705 414558 423696 429912 439992 442260 443560 453960 460620 465738 471420 476658 477680 483651 488880 496446 499005 510705 529620 532272 537390 544752 549990 552744 579187 589680 598806 612846 614160 620984 628560 635544 644868 659988 661928 665340 680940 690930 698607 706160 714987 716520 733320 744669 776230 794430 798408 806085 817128 824985 827410 829116 859824 879984 884520 887120 898209 907920 921240 931476 942840 953316 967302 992892 998010 1021410 1036395 1059240 1074780 1075633 1099980 1105488 1158374 1164345 1191645 1197612 1225692 1241115 1241968 1271088 1289736 1319976 1323856 1330680 1361880 1381860 1397214 1429974 1433040 1450953 1466640 1489338 1497015 1532115 1552460 1588860 1596816 1612170 1634256 1649970 1654820 1658232 1737561 1769040 1796418 1842480 1862952 1885680 1906632 1934604 1985784 1996020 2042820 2072790 2095821 2118480 2144961 2149560 2151266 2199960 2234007 2316748 2328690 2383290 2395224 2418255 2451384 2482230 2579472 2639952 2661360 2694627 2723760 2763720 2794428 2859948 2895935 2901906 2978676 2994030 3064230 3104920 3177720 3224340 3226899 3299940 3309640 3316464 3475122 3493035 3574935 3592836 3723345 3725904 3813264 3869208 3971568 3992040 4085640 4145580 4191642 4289922 4299120 4302532 4399920 4468014 4491045 4633496 4657380 4766580 4790448 4836510 4902768 4964460 5212683 5378165 5389254 5527440 5588856 5719896 5791870 5803812 5957352 5988060 6128460 6209840 6287463 6355440 6448680 6453798 6599880 6619280 6702021 6950244 6986070 7149870 7185672 7254765 7446690 7529431 7738416 7984080 8171280 8291160 8383284 8579844 8605064 8687805 8936028 8982090 9266992 9314760 9533160 9673020 9680697 9928920 10425366 10479105 10724805 10756330 10778508 11170035 11177712 11439792 11583740 11607624 11914704 11976120 12256920 12574926 12897360 12907596 13199760 13404042 13473135 13900488 13972140 14299740 14371344 14509530 14893380 15058862 15638049 16134495 16582320 16766568 17159688 17210128 17375610 17872056 17964180 18629520 18862389 19066320 19346040 19361394 19857840 20106063 20850732 20958210 21449610 21512660 21557016 22340070 22588293 23167480 23215248 23952240 24513840 25149852 25815192 26063415 26808084 26946270 27800976 27944280 28599480 29019060 29042091 29786760 30117724 31276098 31437315 32268990 33510105 33533136 34319376 34751220 35744112 35928360 37647155 37724778 38692080 38722788 40212126 41701464 41916420 42899220 43025320 43114032 44680140 45176586 46334960 46914147 48403485 50299704 51630384 52126830 53616168 53892540 55888560 57198960 58038120 58084182 59573520 60235448 62552196 62874630 64537980 67020210 67764879 69502440 71856720 75294310 75449556 77445576 78190245 80424252 83402928 83832840 85798440 86050640 87126273 89360280 90353172 93828294 94311945 96806970 100530315 100599408 104253660 107232336 107785080 112941465 116076240 116168364 120470896 125104392 125749260 129075960 134040420 135529758 139004880 140742441 145210455 150588620 150899112 154891152 156380490 160848504 167665680 171596880 174252546 178720560 180706344 187656588 188623890 193613940 201060630 203294637 208507320 215570160 225882930 232336728 234570735 250208784 251498520 258151920 261378819 268080840 271059516 281484882 290420910 301177240 301798224 312760980 321697008 338824395 348505092 361412688 375313176 377247780 387227880 402121260 406589274 417014640 435631365 451765860 464673456 469141470 502997040 522757638 536161680 542119032 562969764 580841820 602354480 609883911 625521960 677648790 697010184 703712205 750626352 754495560 774455760 804242520 813178548 871262730 903531720 938282940 1016473185 1045515276 1084238064 1125939528 1161683640 1219767822 1251043920 1306894095 1355297580 1394020368 1407424410 1508991120 1608485040 1626357096 1742525460 1807063440 1829651733 1876565880 2032946370 2091030552 2251879056 2323367280 2439535644 2613788190 2710595160 2814848820 3049419555 3252714192 3485050920 3659303466 3753131760 4065892740 4182061104 4879071288 5227576380 5421190320 5629697640 6098839110 6970101840 7318606932 8131785480 9148258665 9758142576 10455152760 11259395280 12197678220 14637213864 16263570960 18296517330 20910305520 24395356440 29274427728 36593034660 48790712880 73186069320 146372138640
• Sum of all divisors σ(n): 634623714816
• Sum of proper divisors (its aliquot sum) s(n): 488251576176
• 146372138640 is an abundant number, because the sum of its proper divisors (488251576176) is greater than itself. Its abundance is 341879437536

Bases of 146372138640

• Binary: 10001000010100011101011001011010010000₂
• Hexadecimal: 0x2214759690
• Base-36: 1V8Q6X00

Squares and roots of 146372138640

• 146372138640 squared (146372138640²) is 21424802970047381049600
• 146372138640 cubed (146372138640³) is 3135994230666459026360959916544000
• The square root of 146372138640 is 382586.1192463731
• The cube root of 146372138640 is 5270.1074843625

Scales and comparisons

• 146,372,138,640 seconds is equal to 4,654 years, 9 weeks, 2 days, 23 hours, 24 minutes.
• To count from 1 to 146,372,138,640 would take you about nine thousand, three hundred eight 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 146372138640 cubic inches would be around 439.2 feet tall.

Recreational maths with 146372138640

• 146372138640 backwards is 046831273641
• 146372138640 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 146372138640's digits is 45
• More coming soon!