146813101344

Names of 146813101344

• Cardinal: 146813101344 can be written as One hundred forty-six billion, eight hundred thirteen million, one hundred one thousand, three hundred forty-four.

Scientific notation

• Scientific notation: 1.46813101344 × 10¹¹

Factors of 146813101344

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 181

Divisors of 146813101344

• Number of divisors d(n): 960
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 29 32 36 39 42 48 52 54 56 58 63 72 78 81 84 87 91 96 104 108 112 116 117 126 127 144 156 162 168 169 174 182 189 203 208 216 224 232 234 252 254 261 273 288 312 324 336 338 348 351 364 377 378 381 406 416 432 464 468 504 507 508 522 546 567 609 624 648 672 676 696 702 728 754 756 762 783 812 819 864 889 928 936 1008 1014 1016 1044 1053 1092 1131 1134 1143 1183 1218 1248 1296 1352 1392 1404 1456 1508 1512 1521 1524 1566 1624 1638 1651 1778 1827 1872 2016 2028 2032 2088 2106 2184 2197 2262 2268 2286 2349 2366 2436 2457 2592 2639 2667 2704 2784 2808 2912 3016 3024 3042 3048 3132 3248 3276 3302 3393 3429 3549 3556 3654 3683 3744 4056 4064 4176 4212 4368 4394 4524 4536 4563 4572 4698 4732 4872 4901 4914 4953 5278 5334 5408 5481 5616 6032 6048 6084 6096 6264 6496 6552 6591 6604 6786 6858 7098 7112 7308 7366 7371 7917 8001 8112 8352 8424 8736 8788 9048 9072 9126 9144 9396 9464 9744 9802 9828 9906 10179 10287 10556 10647 10668 10962 11049 11232 11557 12064 12168 12192 12528 13104 13182 13208 13572 13689 13716 14196 14224 14616 14703 14732 14742 14859 15379 15834 16002 16224 16443 16848 17576 18096 18144 18252 18288 18792 18928 19488 19604 19656 19773 19812 20358 20574 21112 21294 21336 21463 21924 22098 23114 23751 24003 24336 25056 25781 26208 26364 26416 27144 27378 27432 28392 28448 29232 29406 29464 29484 29718 30537 30758 31668 31941 32004 32886 33147 33696 34307 34671 35152 36192 36504 36576 37584 37856 39208 39312 39546 39624 40716 41148 42224 42588 42672 42926 43848 44109 44196 44577 46137 46228 47502 47879 48006 48672 51562 52728 52832 54288 54756 54864 56784 58464 58812 58928 58968 59319 59436 61074 61516 63336 63713 63882 64008 64389 65772 66294 68614 69342 70304 71253 72009 73008 75168 77343 78416 78624 79092 79248 81432 82296 84448 85176 85344 85852 87696 88218 88392 89154 92274 92456 95004 95758 95823 96012 99441 102921 103124 104013 105456 108576 109512 109728 113568 117624 117856 117936 118638 118872 122148 123032 126672 127426 127764 128016 128778 131544 132327 132588 133731 137228 138411 138684 142506 143637 144018 146016 150241 154686 156832 158184 158496 162864 164592 170352 171704 175392 176436 176784 177957 178308 184548 184912 190008 191139 191516 191646 192024 193167 198882 205842 206248 208026 210912 213759 219024 232029 235248 235872 237276 237744 244296 246064 253344 254852 255528 256032 257556 263088 264654 265176 267462 274456 276822 277368 279019 285012 287274 288036 298323 300482 308763 309372 312039 316368 325728 329184 335153 340704 343408 352872 353568 355914 356616 369096 369824 380016 382278 383032 383292 384048 386334 396981 397764 411684 412496 415233 416052 427518 430911 438048 445991 450723 464058 470496 474552 475488 488592 492128 509704 511056 515112 526176 529308 530352 534924 548912 553644 554736 558038 570024 573417 574548 576072 579501 596646 600964 617526 618744 622427 624078 632736 670306 686816 696087 705744 711828 713232 738192 760032 764556 766064 766584 768096 772668 793962 795528 823368 824992 830466 832104 837057 855036 861822 891982 901446 926289 928116 936117 949104 977184 1005459 1019408 1022112 1030224 1058616 1060704 1069848 1097824 1107288 1109472 1116076 1140048 1146834 1149096 1152144 1159002 1193292 1201928 1235052 1237488 1244854 1245699 1248156 1292733 1337973 1340612 1352169 1392174 1411488 1423656 1426464 1476384 1529112 1532128 1533168 1545336 1587924 1591056 1646736 1660932 1664208 1674114 1710072 1720251 1723644 1738503 1783964 1802892 1852578 1856232 1867281 1872234 1898208 1953133 2010918 2038816 2060448 2088261 2117232 2139696 2214576 2232152 2280096 2293668 2298192 2304288 2318004 2386584 2403856 2470104 2474976 2489708 2491398 2496312 2511171 2585466 2675946 2681224 2704338 2778867 2784348 2847312 3016377 3058224 3066336 3090672 3175848 3182112 3293472 3321864 3328416 3348228 3420144 3440502 3447288 3477006 3567928 3605784 3705156 3712464 3734562 3744468 3878199 3906266 4013919 4021836 4056507 4176522 4234464 4279392 4356989 4429152 4464304 4587336 4596384 4636008 4773168 4807712 4940208 4979416 4982796 4992624 5022342 5160753 5170932 5351892 5362448 5408676 5557734 5568696 5601843 5694624 5859399 6032754 6116448 6181344 6351696 6643728 6696456 6840288 6881004 6894576 6954012 7135856 7211568 7410312 7424928 7469124 7488936 7533513 7756398 7812532 8027838 8043672 8091551 8113014 8353044 8713978 8928608 9049131 9174672 9272016 9546336 9880416 9958832 9965592 9985248 10044684 10321506 10341864 10703784 10724896 10817352 11115468 11137392 11203686 11718798 12041757 12065508 12169521 12703392 13070967 13287456 13392912 13762008 13789152 13908024 14271712 14423136 14820624 14938248 14977872 15067026 15512796 15625064 16055676 16087344 16183102 16226028 16706088 16805529 17427956 17578197 18098262 18349344 18544032 19917664 19931184 20089368 20643012 20683728 21407568 21634704 22230936 22274784 22407372 22600539 23437596 24083514 24131016 24274653 24339042 26141934 26785824 27147393 27524016 27816048 29641248 29876496 29955744 30134052 31025592 31250128 32111352 32174688 32366204 32452056 33412176 33611058 34855912 35156394 36125271 36196524 39212901 39862368 40178736 41286024 41367456 42815136 43269408 44461872 44814744 45201078 46875192 48167028 48262032 48549306 48678084 50416587 52283868 52734591 54294786 55048032 55632096 56640857 59752992 60268104 62051184 62500256 64222704 64732408 64904112 66824352 67222116 69711824 70312788 72250542 72393048 72823959 78425802 80357472 82572048 88923744 89629488 90402156 93750384 96334056 96524064 97098612 97356168 100833174 104567736 105469182 108589572 113281714 117638703 120536208 124102368 128445408 129464816 129808224 134444232 139423648 140625576 144501084 144786096 145647918 156851604 158203773 165144096 169922571 179258976 180804312 187500768 192668112 194197224 194712336 201666348 209135472 210938364 217179144 218471877 226563428 235277406 241072416 258929632 268888464 281251152 289002168 289572192 291295836 313703208 316407546 339845142 352916109 361608624 385336224 388394448 389424672 403332696 418270944 421876728 434358288 436943754 453126856 470554812 509767713 537776928 562502304 578004336 582591672 627406416 632815092 655415631 679690284 705832218 723217248 776788896 806665392 843753456 868716576 873887508 906253712 941109624 1019535426 1156008672 1165183344 1254812832 1265630184 1310831262 1359380568 1411664436 1529303139 1613330784 1687506912 1747775016 1812507424 1882219248 2039070852 2330366688 2531260368 2621662524 2718761136 2823328872 3058606278 3495550032 3764438496 4078141704 4587909417 5062520736 5243325048 5437522272 5646657744 6117212556 6991100064 8156283408 9175818834 10486650096 11293315488 12234425112 16312566816 18351637668 20973300192 24468850224 36703275336 48937700448 73406550672 146813101344
• Sum of all divisors σ(n): 557344972800
• Sum of proper divisors (its aliquot sum) s(n): 410531871456
• 146813101344 is an abundant number, because the sum of its proper divisors (410531871456) is greater than itself. Its abundance is 263718770112

Bases of 146813101344

• Binary: 10001000101110101111100010010100100000₂
• Hexadecimal: 0x222EBE2520
• Base-36: 1VG0QA00

Squares and roots of 146813101344

• 146813101344 squared (146813101344²) is 21554086726243614606336
• 146813101344 cubed (146813101344³) is 3164422318917368975632885832515584
• The square root of 146813101344 is 383161.9779466643
• The cube root of 146813101344 is 5275.3944446505

Scales and comparisons

• 146,813,101,344 seconds is equal to 4,668 years, 10 weeks, 3 days, 17 hours, 2 minutes, 24 seconds.
• To count from 1 to 146,813,101,344 would take you about nine thousand, three hundred thirty-six 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 146813101344 cubic inches would be around 439.6 feet tall.

Recreational maths with 146813101344

• 146813101344 backwards is 443101318641
• 146813101344 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 146813101344's digits is 36
• More coming soon!