137602983168

Names of 137602983168

• Cardinal: 137602983168 can be written as One hundred thirty-seven billion, six hundred two million, nine hundred eighty-three thousand, one hundred sixty-eight.

Scientific notation

• Scientific notation: 1.37602983168 × 10¹¹

Factors of 137602983168

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 133

Divisors of 137602983168

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 32 36 38 42 43 48 54 56 57 59 63 64 72 76 84 86 96 108 112 114 118 126 128 129 133 144 152 168 171 172 177 189 192 216 224 228 236 252 256 258 266 288 301 304 336 342 344 354 378 384 387 399 413 432 448 456 472 504 513 516 531 532 576 602 608 672 684 688 708 756 768 774 798 817 826 864 896 903 912 944 1008 1026 1032 1062 1064 1121 1152 1161 1197 1204 1216 1239 1344 1368 1376 1416 1512 1548 1593 1596 1634 1652 1728 1792 1806 1824 1888 2016 2052 2064 2124 2128 2242 2304 2322 2394 2408 2432 2451 2478 2537 2688 2709 2736 2752 2832 3024 3096 3186 3192 3268 3304 3363 3456 3481 3591 3612 3648 3717 3776 4032 4104 4128 4248 4256 4484 4644 4788 4816 4864 4902 4956 5074 5376 5418 5472 5504 5664 5719 6048 6192 6372 6384 6536 6608 6726 6912 6962 7182 7224 7296 7353 7434 7552 7611 7847 8064 8127 8208 8256 8496 8512 8968 9288 9576 9632 9804 9912 10089 10148 10443 10836 10944 11008 11151 11328 11438 12096 12384 12744 12768 13072 13216 13452 13924 14364 14448 14592 14706 14868 15104 15222 15694 16128 16254 16416 16512 16992 17024 17157 17759 17936 18576 19152 19264 19608 19824 20178 20296 20886 21672 21888 22059 22302 22656 22833 22876 23541 24192 24367 24768 25488 25536 26144 26432 26904 27848 28728 28896 29412 29736 30267 30444 31329 31388 32508 32832 33024 33984 34048 34314 35518 35872 37152 38304 38528 39216 39648 40356 40592 41772 43344 43776 44118 44604 45312 45666 45752 47082 48203 48384 48734 49536 50976 51072 51471 52288 52864 53277 53808 55696 57456 57792 58824 59472 60534 60888 62658 62776 65016 65664 66139 67968 68499 68628 70623 71036 71744 73101 74304 76608 77056 78432 79296 80712 81184 83544 86688 88236 89208 91332 91504 93987 94164 96406 97468 99072 101952 102144 102942 104576 105728 106554 107616 111392 114912 115584 117648 118944 121068 121776 125316 125552 130032 131328 132278 135936 136998 137256 141246 142072 143488 144609 146202 148608 149683 153216 154413 156864 158592 159831 161424 162368 167088 173376 176472 178416 182664 183008 187974 188328 192812 194936 198417 203904 205884 209152 211869 213108 215232 219303 222784 229824 231168 235296 237888 242136 243552 250632 251104 260064 264556 273996 274512 282492 284144 286976 289218 292404 297216 299366 306432 308826 313728 317184 319662 322848 324736 334176 337421 346752 352944 356832 365328 366016 375948 376656 385624 389872 396834 407808 411768 423738 426216 430464 433827 438606 445568 449049 459648 462973 470592 475776 479493 484272 487104 501264 502208 520128 529112 547992 549024 564984 568288 578436 584808 595251 598732 617652 627456 639324 645696 649472 657909 668352 674842 693504 705888 713664 730656 732032 751896 753312 771248 779744 793668 823536 847476 852432 860928 867654 877212 891136 898098 919296 925946 941184 951552 958986 968544 974208 1002528 1004416 1012263 1040256 1047781 1058224 1095984 1098048 1129968 1136576 1156872 1169616 1190502 1197464 1235304 1278648 1291392 1301481 1315818 1336704 1347147 1349684 1388919 1411776 1427328 1461312 1464064 1503792 1506624 1542496 1559488 1587336 1647072 1694952 1704864 1735308 1754424 1785753 1796196 1851892 1882368 1917972 1937088 1948416 2005056 2008832 2024526 2080512 2095562 2116448 2191968 2196096 2259936 2273152 2313744 2339232 2381004 2394928 2470608 2557296 2582784 2602962 2631636 2673408 2694294 2699368 2777838 2823552 2843977 2854656 2922624 3007584 3013248 3036789 3084992 3118976 3143343 3174672 3294144 3389904 3409728 3470616 3508848 3571506 3592392 3703784 3835944 3874176 4010112 4041441 4049052 4166757 4191124 4232896 4383936 4392192 4519872 4546304 4627488 4678464 4762008 4789856 4941216 5114592 5205924 5263272 5388588 5398736 5555676 5647104 5687954 5845248 6015168 6026496 6073578 6169984 6237952 6286686 6349344 6588288 6779808 6819456 6941232 7017696 7143012 7184784 7407568 7671888 7748352 8020224 8082882 8098104 8333514 8382248 8465792 8531931 8767872 9039744 9110367 9254976 9356928 9430029 9524016 9579712 9882432 10229184 10411848 10526544 10777176 10797472 11111352 11375908 12030336 12147156 12339968 12500271 12573372 12698688 13176576 13559616 13638912 13882464 14035392 14286024 14369568 14815136 15343776 16165764 16196208 16667028 16764496 16931584 17063862 17535744 18079488 18220734 18509952 18713856 18860058 19048032 19159424 19764864 19907839 20458368 20823696 21053088 21554352 21594944 22222704 22751816 24060672 24294312 25000542 25146744 25397376 25595793 27119232 27764928 28070784 28290087 28572048 28739136 29630272 30687552 32331528 32392416 33334056 33528992 34127724 36441468 37019904 37720116 38096064 38318848 39529728 39815678 40916736 41647392 42106176 43108704 43189888 44445408 45503632 48588624 50001084 50293488 50794752 51191586 54238464 55529856 56141568 56580174 57144096 57478272 59260544 59723517 61375104 64663056 64784832 66668112 67057984 68255448 72882936 75440232 76192128 76787379 79631356 83294784 84212352 86217408 86379776 88890816 91007264 97177248 100002168 100586976 102383172 111059712 113160348 114288192 114956544 118521088 119447034 122750208 129326112 129569664 133336224 134115968 136510896 145765872 150880464 152384256 153574758 159262712 166589568 168424704 172434816 177781632 179170551 182014528 194354496 200004336 201173952 204766344 226320696 228576384 238894068 258652224 259139328 266672448 268231936 273021792 291531744 301760928 307149516 318525424 333179136 344869632 355563264 358341102 364029056 388708992 400008672 402347904 409532688 452641392 457152768 477788136 517304448 533344896 537511653 546043584 583063488 603521856 614299032 637050848 716682204 728058112 777417984 800017344 804695808 819065376 905282784 955576272 1034608896 1066689792 1075023306 1092087168 1166126976 1207043712 1228598064 1274101696 1433364408 1600034688 1638130752 1810565568 1911152544 2150046612 2184174336 2332253952 2414087424 2457196128 2548203392 2866728816 3200069376 3276261504 3621131136 3822305088 4300093224 4914392256 5096406784 5733457632 6552523008 7242262272 7644610176 8600186448 9828784512 11466915264 15289220352 17200372896 19657569024 22933830528 34400745792 45867661056 68801491584 137602983168
• Sum of all divisors σ(n): 509541401600
• Sum of proper divisors (its aliquot sum) s(n): 371938418432
• 137602983168 is an abundant number, because the sum of its proper divisors (371938418432) is greater than itself. Its abundance is 234335435264

Bases of 137602983168

• Binary: 10000000001001110001101110010100000000₂
• Hexadecimal: 0x2009C6E500
• Base-36: 1R7P9HC0

Squares and roots of 137602983168

• 137602983168 squared (137602983168²) is 18934580976732891316224
• 137602983168 cubed (137602983168³) is 2605454827434509043418344437317632
• The square root of 137602983168 is 370948.7608390139
• The cube root of 137602983168 is 5162.6888311881

Scales and comparisons

• 137,602,983,168 seconds is equal to 4,375 years, 18 weeks, 1 day, 2 hours, 52 minutes, 48 seconds.
• To count from 1 to 137,602,983,168 would take you about eight thousand, seven hundred fifty 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 137602983168 cubic inches would be around 430.2 feet tall.

Recreational maths with 137602983168

• 137602983168 backwards is 861389206731
• 137602983168 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137602983168's digits is 54
• More coming soon!