137473631568

Names of 137473631568

• Cardinal: 137473631568 can be written as One hundred thirty-seven billion, four hundred seventy-three million, six hundred thirty-one thousand, five hundred sixty-eight.

Scientific notation

• Scientific notation: 1.37473631568 × 10¹¹

Factors of 137473631568

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 966

Divisors of 137473631568

• Number of divisors d(n): 800
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 16 18 21 23 24 26 27 28 36 39 42 46 48 52 54 56 59 63 69 72 78 81 84 91 92 104 108 112 117 118 126 138 144 156 161 162 168 177 182 184 189 207 208 216 234 236 252 273 276 299 312 322 324 336 351 354 364 368 378 413 414 432 468 472 483 504 531 546 552 567 598 621 624 644 648 702 708 728 756 767 819 826 828 859 897 936 944 966 1008 1053 1062 1092 1104 1134 1196 1239 1242 1288 1296 1357 1404 1416 1449 1456 1512 1534 1593 1638 1652 1656 1718 1794 1863 1872 1932 2093 2106 2124 2184 2268 2301 2392 2457 2478 2484 2576 2577 2691 2714 2808 2832 2898 3024 3068 3186 3276 3304 3312 3436 3588 3717 3726 3864 4071 4186 4212 4248 4347 4368 4536 4602 4779 4784 4914 4956 4968 5154 5369 5382 5428 5616 5796 6013 6136 6279 6372 6552 6608 6872 6903 7176 7371 7434 7452 7728 7731 8073 8142 8372 8424 8496 8694 9072 9204 9499 9558 9828 9912 9936 10308 10738 10764 10856 11151 11167 11592 12026 12213 12272 12558 12744 13041 13104 13744 13806 14352 14742 14868 14904 15462 16107 16146 16284 16744 16848 17388 17641 18039 18408 18837 18998 19116 19656 19757 19824 20616 20709 21476 21528 21712 22302 22334 23184 23193 24052 24219 24426 25116 25488 26082 27612 28497 29484 29736 29808 30924 32214 32292 32568 33453 33488 33501 34776 35282 36078 36639 36816 37674 37996 38232 39312 39514 41232 41418 42952 43056 44604 44668 46386 48104 48321 48438 48852 50232 50681 52164 52923 54117 55224 56511 56994 58968 59271 59472 61848 62127 64428 64584 65136 66906 67002 69552 69579 70564 72156 73278 75348 75992 76464 78169 79028 82836 85491 85904 89208 89336 92772 96208 96642 96876 97704 100464 100503 101362 104328 105846 108234 109917 110448 113022 113988 117936 118542 123487 123696 124254 128856 129168 133812 134004 138299 139158 141128 144312 144963 146556 150696 151984 152043 156338 158056 158769 162351 165672 169533 170982 177813 178416 178672 185544 193284 193752 195408 201006 202724 208656 211692 216468 219834 226044 227976 234507 237084 246974 248508 256473 256841 257712 267624 268008 276598 278316 282256 288624 289926 293112 301392 301509 304086 312676 316112 317538 324702 331344 339066 341964 354767 355626 370461 371088 386568 387504 402012 405448 414897 423384 432936 434889 439668 452088 455952 456129 469014 474168 476307 487053 493948 497016 512946 513682 533439 535248 536016 553196 556632 579852 586224 603018 608172 625352 635076 649404 658853 678132 683928 703521 709534 711252 740922 769419 770523 773136 804024 810896 829794 846768 865872 869778 879336 904176 904527 912258 938028 948336 952614 974106 987896 994032 1025892 1027364 1064301 1066878 1106392 1111383 1113264 1159704 1165663 1206036 1216344 1244691 1250704 1270152 1298808 1317706 1356264 1367856 1368387 1407042 1419068 1422504 1428921 1481844 1538838 1541046 1600317 1608048 1659588 1739556 1758672 1797887 1809054 1824516 1876056 1905228 1948212 1975792 1976559 2051784 2054728 2110563 2128602 2133756 2212784 2222766 2311569 2319408 2331326 2412072 2432688 2489382 2540304 2597616 2635412 2712528 2736774 2814084 2838136 2845008 2857842 2963688 3077676 3082092 3192903 3200634 3319176 3334149 3479112 3496989 3595774 3618108 3649032 3734073 3752112 3810456 3896424 3953118 4103568 4105161 4109456 4221126 4257204 4267512 4445532 4611971 4623138 4662652 4824144 4978764 5270824 5393661 5473548 5628168 5676272 5715684 5927376 5929677 6155352 6164184 6331689 6385806 6401268 6638352 6668298 6934707 6958224 6993978 7191548 7236216 7298064 7468146 7620912 7792848 7906236 8159641 8210322 8442252 8514408 8535024 8891064 9223942 9246276 9325304 9578709 9957528 10002447 10490967 10541648 10787322 10947096 11202219 11256336 11431368 11859354 12310704 12328368 12663378 12771612 12802536 13336596 13835913 13869414 13987956 14383096 14472432 14936292 15153619 15812472 16180983 16319282 16420644 16884504 17028816 17782128 17789031 18447884 18492552 18650608 19157418 19915056 20004894 20804121 20981934 21574644 21894192 22404438 22862736 23718708 24478923 25326756 25543224 25605072 26673192 27671826 27738828 27975912 28736127 28766192 29872584 30307238 31472901 31624944 32361966 32638564 32841288 33769008 35578062 36895768 36985104 38314836 40009788 41507739 41608242 41963868 43149288 44808876 45460857 47437416 48542949 48957846 50653512 51086448 53346384 53367093 55343652 55477656 55951824 57472254 59745168 60614476 62945802 64723932 65277128 65682576 71156124 73436769 73791536 76629672 80019576 83015478 83216484 83927736 86298576 89617752 90921714 94418703 94874832 97085898 97915692 101307024 106075333 106734186 110687304 110955312 114944508 121228952 124523217 125891604 129447864 130554256 136382571 142312248 145628847 146873538 153259344 160039152 166030956 166432968 167855472 179235504 181843428 188837406 194171796 195831384 212150666 213468372 220310307 221374608 229889016 242457904 249046434 251783208 258895728 272765142 284624496 291257694 293747076 318225999 332061912 332865936 363686856 373569651 377674812 388343592 391662768 409147713 424301332 426936744 440620614 459778032 498092868 503566416 545530284 582515388 587494152 636451998 660930921 664123824 727373712 747139302 755349624 776687184 818295426 848602664 853873488 881241228 954677997 996185736 1091060568 1165030776 1174988304 1227443139 1272903996 1321861842 1494278604 1510699248 1636590852 1697205328 1762482456 1909355994 1992371472 2182121136 2330061552 2454886278 2545807992 2643723684 2864033991 2988557208 3273181704 3524964912 3818711988 4909772556 5091615984 5287447368 5728067982 5977114416 6546363408 7637423976 8592101973 9819545112 10574894736 11456135964 15274847952 17184203946 19639090224 22912271928 34368407892 45824543856 68736815784 137473631568
• Sum of all divisors σ(n): 520266700800
• Sum of proper divisors (its aliquot sum) s(n): 382793069232
• 137473631568 is an abundant number, because the sum of its proper divisors (382793069232) is greater than itself. Its abundance is 245319437664

Bases of 137473631568

• Binary: 10000000000010000100010010010101010000₂
• Hexadecimal: 0x2002112550
• Base-36: 1R5K9100

Squares and roots of 137473631568

• 137473631568 squared (137473631568²) is 18898999376494206138624
• 137473631568 cubed (137473631568³) is 2598114077288026214187839710482432
• The square root of 137473631568 is 370774.3674635559
• The cube root of 137473631568 is 5161.0706215463

Scales and comparisons

• 137,473,631,568 seconds is equal to 4,371 years, 12 weeks, 1 day, 23 hours, 52 minutes, 48 seconds.
• To count from 1 to 137,473,631,568 would take you about eight thousand, seven hundred forty-two 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 137473631568 cubic inches would be around 430.1 feet tall.

Recreational maths with 137473631568

• 137473631568 backwards is 865136374731
• 137473631568 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137473631568's digits is 54
• More coming soon!