137333105952

Names of 137333105952

• Cardinal: 137333105952 can be written as One hundred thirty-seven billion, three hundred thirty-three million, one hundred five thousand, nine hundred fifty-two.

Scientific notation

• Scientific notation: 1.37333105952 × 10¹¹

Factors of 137333105952

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 232

Divisors of 137333105952

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 16 19 21 24 28 31 32 38 42 48 49 56 57 62 73 76 84 93 96 97 98 112 114 124 133 146 147 152 168 186 194 196 217 219 224 228 248 266 291 292 294 304 336 343 372 388 392 399 434 438 456 496 511 532 582 584 588 589 608 651 672 679 686 744 776 784 798 868 876 912 931 992 1022 1029 1064 1164 1168 1176 1178 1302 1358 1372 1387 1488 1519 1533 1552 1568 1596 1736 1752 1767 1824 1843 1862 2037 2044 2058 2128 2263 2328 2336 2352 2356 2604 2716 2744 2774 2793 2976 3007 3038 3066 3104 3192 3472 3504 3534 3577 3686 3724 4074 4088 4116 4123 4161 4256 4526 4557 4656 4704 4712 4753 5208 5432 5488 5529 5548 5586 6014 6076 6132 6384 6517 6789 6944 7008 7068 7081 7154 7372 7448 8148 8176 8232 8246 8322 9021 9052 9114 9312 9424 9506 9709 10416 10633 10731 10864 10976 11058 11096 11172 12028 12152 12264 12369 12768 12901 13034 13578 14136 14162 14259 14308 14744 14896 15841 16296 16352 16464 16492 16644 18042 18104 18228 18848 19012 19418 19551 20832 21049 21243 21266 21462 21728 22116 22192 22344 24056 24304 24528 24738 25039 25802 26068 27156 28272 28324 28518 28616 28861 29127 29488 29792 31682 31899 32592 32928 32984 33271 33288 36084 36208 36456 38024 38703 38836 39102 42098 42486 42532 42924 42997 44232 44384 44688 47523 48112 48608 49056 49476 49567 50078 51604 52136 54312 56544 56648 57036 57133 57232 57722 58254 58976 63147 63364 63798 65184 65968 66542 66576 67963 72168 72416 72912 75117 76048 77406 77672 78204 84196 84972 85064 85848 85994 86583 88464 89376 90307 95046 96224 98952 99134 99813 100156 103208 104272 108624 110887 113296 114072 114266 114464 115444 116508 126294 126728 127596 128991 131936 133084 133152 134539 135926 144336 145824 147343 148701 150234 152096 154812 155344 156408 168392 169944 170128 171399 171696 171988 173166 176928 180614 190092 197904 198268 199626 200312 202027 203889 206416 208544 217248 219511 221774 226592 228144 228532 230888 233016 252588 253456 255192 257982 266168 269078 270921 271852 288672 294686 297402 300468 300979 309624 310688 312816 332661 336784 339888 340256 342798 343392 343976 346332 346969 361228 380184 395808 396536 399252 399931 400624 403617 404054 407778 412832 439022 442029 443548 456288 457064 461776 466032 475741 505176 506912 510384 515964 532336 538156 541842 543704 589372 594804 600936 601958 606081 619248 625632 632149 658533 665322 673568 679776 685596 687952 692664 693938 722456 760368 776209 793072 798504 799862 801248 807234 808108 815556 878044 884058 887096 902937 914128 923552 932064 941773 951482 1010352 1020768 1031401 1031928 1040907 1064672 1076312 1083684 1087408 1178744 1189608 1199793 1201872 1203916 1212162 1238496 1264298 1317066 1330644 1371192 1375904 1385328 1387876 1427223 1444912 1520736 1536577 1552418 1586144 1597008 1599724 1614468 1616216 1631112 1756088 1768116 1774192 1805874 1828256 1883546 1896447 1902964 2020704 2062802 2063856 2081814 2106853 2152624 2167368 2174816 2328627 2357488 2379216 2399586 2403744 2407832 2424324 2428783 2528596 2634132 2661288 2742384 2770656 2775752 2799517 2825319 2854446 2889824 3073154 3094203 3104836 3194016 3199448 3228936 3232432 3262224 3512176 3536232 3548384 3611748 3767092 3792894 3805928 4125604 4127712 4163628 4170709 4213706 4305248 4334736 4609731 4657254 4714976 4758432 4799172 4815664 4848648 4857566 5057192 5268264 5322576 5484768 5551504 5599034 5650638 5708892 6146308 6188406 6209672 6320559 6398896 6457872 6464864 6524448 6592411 7024352 7072464 7223496 7286349 7534184 7585788 7611856 8251208 8327256 8341418 8398551 8427412 8669472 9219462 9314508 9598344 9631328 9697296 9715132 10114384 10536528 10645152 10756039 11103008 11198068 11301276 11417784 12292616 12376812 12419344 12512127 12641118 12797792 12915744 13184822 14144928 14446992 14572698 14747971 15068368 15171576 15223712 16502416 16654512 16682836 16797102 16854824 18438924 18629016 19196688 19394592 19430264 19596619 19777233 20228768 21073056 21512078 22396136 22602552 22835568 24585232 24753624 24838688 25024254 25282236 26369644 28893984 29145396 29194963 29495942 30136736 30343152 32268117 33004832 33309024 33365672 33594204 33709648 36877848 37258032 38393376 38860528 39193238 39554466 43024156 44243913 44792272 45205104 45671136 46146877 49170464 49507248 50048508 50564472 52739288 58290792 58389926 58789857 58991884 60686304 64536234 66731344 67188408 67419296 73755696 74516064 75292273 77721056 78386476 79108932 86048312 87584889 88487826 89584544 90410208 92293754 99014496 100097016 101128944 105478576 116581584 116779852 117579714 117983768 129072468 133462688 134376816 138440631 147511392 150584546 156772952 158217864 172096624 175169778 176975652 184587508 200194032 202257888 204364741 210957152 225876819 233163168 233559704 235159428 235967536 258144936 268753632 276881262 301169092 313545904 316435728 344193248 350339556 353951304 369175016 400388064 408729482 451753638 467119408 470318856 471935072 516289872 553762524 602338184 613094223 627091808 632871456 700679112 707902608 738350032 817458964 903507276 934238816 940637712 1032579744 1107525048 1204676368 1226188446 1401358224 1415805216 1430553187 1476700064 1634917928 1807014552 1881275424 2215050096 2409352736 2452376892 2802716448 2861106374 3269835856 3614029104 4291659561 4430100192 4904753784 5722212748 6539671712 7228058208 8583319122 9809507568 11444425496 17166638244 19619015136 22888850992 34333276488 45777701984 68666552976 137333105952
• Sum of all divisors σ(n): 467841024000
• Sum of proper divisors (its aliquot sum) s(n): 330507918048
• 137333105952 is an abundant number, because the sum of its proper divisors (330507918048) is greater than itself. Its abundance is 193174812096

Bases of 137333105952

• Binary: 1111111111001101100001110010100100000₂
• Hexadecimal: 0x1FF9B0E520
• Base-36: 1R38L2QO

Squares and roots of 137333105952

• 137333105952 squared (137333105952²) is 18860381990423257826304
• 137333105952 cubed (137333105952³) is 2590154838185989916384820444561408
• The square root of 137333105952 is 370584.8161379523
• The cube root of 137333105952 is 5159.3114723389

Scales and comparisons

• 137,333,105,952 seconds is equal to 4,366 years, 39 weeks, 6 days, 12 hours, 59 minutes, 12 seconds.
• To count from 1 to 137,333,105,952 would take you about eight thousand, seven hundred thirty-three 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 137333105952 cubic inches would be around 429.9 feet tall.

Recreational maths with 137333105952

• 137333105952 backwards is 259501333731
• 137333105952 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137333105952's digits is 42
• More coming soon!