146123400097584

Names of 146123400097584

• Cardinal: 146123400097584 can be written as One hundred forty-six trillion, one hundred twenty-three billion, four hundred million, ninety-seven thousand, five hundred eighty-four.

Scientific notation

• Scientific notation: 1.46123400097584 × 10¹⁴

Factors of 146123400097584

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 3093

Divisors of 146123400097584

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 31 36 39 42 48 52 54 56 62 63 72 78 84 91 93 104 108 112 117 124 126 144 156 168 169 182 186 189 208 216 217 234 248 252 273 279 312 336 338 351 364 372 378 403 432 434 468 496 504 507 546 558 624 651 676 702 728 744 756 806 819 837 868 936 1008 1014 1092 1116 1183 1209 1302 1352 1404 1456 1488 1512 1521 1612 1638 1674 1736 1872 1953 2028 2184 2232 2366 2418 2457 2604 2704 2808 2821 3024 3037 3042 3224 3276 3348 3472 3549 3627 3906 4056 4368 4464 4563 4732 4836 4914 5208 5239 5616 5642 5859 6074 6084 6448 6552 6696 7098 7254 7812 8112 8463 9111 9126 9464 9672 9828 10416 10478 10647 10881 11284 11718 12148 12168 13104 13392 14196 14508 15624 15717 16926 18222 18252 18928 19344 19656 20956 21259 21294 21762 22568 23436 24296 24336 25389 27333 28392 29016 31248 31434 31941 33852 36444 36504 36673 39312 39481 41912 42518 42588 43524 45136 46872 47151 48592 50778 54666 56784 58032 62868 63777 63882 67704 72888 73008 73346 76167 78962 81999 83824 85036 85176 87048 93744 94147 94302 101556 109332 110019 118443 125736 127554 127764 135408 141453 145776 146692 152334 157924 163998 170072 170352 174096 188294 188604 191331 203112 218664 220038 236886 251472 255108 255528 276367 282441 282906 293384 304668 315848 327996 330057 340144 355329 376588 377208 382662 406224 437328 440076 473772 510216 511056 513253 552734 564882 565812 573993 586768 609336 631696 655992 659029 660114 710658 753176 754416 765324 829101 847323 880152 947544 990171 1020432 1026506 1065987 1105468 1129764 1131624 1147986 1218672 1223911 1311984 1318058 1320228 1421316 1506352 1530648 1539759 1658202 1694646 1760304 1895088 1977087 1980342 2053012 2131974 2210936 2259528 2263248 2295972 2447822 2487303 2541969 2636116 2640456 2842632 3061296 3079518 3316404 3389292 3592771 3671733 3954174 3960684 4106024 4263948 4421872 4519056 4591944 4619277 4895644 4974606 5083938 5272232 5280912 5685264 5931261 6159036 6632808 6778584 7185542 7343466 7461909 7908348 7921368 8212048 8527896 8567377 9183888 9223369 9238554 9791288 9949212 10167876 10544464 10778313 11015199 11862522 12318072 13265616 13557168 13857831 14371084 14686932 14923818 15816696 15842736 15910843 17055792 17134754 17793783 18446738 18477108 19582576 19898424 20335752 21556626 22030398 23725044 24636144 25702131 27670107 27715662 28742168 29373864 29847636 31633392 31821686 32334939 33045597 34269508 35587566 36893476 36954216 39796848 40671504 43113252 44060796 47450088 47732529 51404262 55340214 55431324 57484336 58747728 59695272 63643372 64563583 64669878 66091194 68539016 71175132 73786952 73908432 77106393 83010321 86226504 88121592 94900176 95465058 97004817 102808524 110680428 110862648 111375901 119390544 119903797 127286744 129127166 129339756 132182388 137078032 142350264 143197587 147573904 154212786 166020642 172453008 176243184 190930116 193690749 194009634 205617048 221360856 221725296 222751802 231319179 239807594 249030963 254573488 258254332 258679512 264364776 284700528 285924439 286395174 308425572 332041284 334127703 359711391 381860232 387381498 388019268 411234096 429592761 442721712 445503604 462638358 479615188 498061926 516508664 517359024 528729552 571848878 572790348 581072247 616851144 664082568 668255406 719422782 763720464 774762996 776038536 839326579 857773317 859185522 891007208 925276716 959230376 996123852 1002383109 1033017328 1079134173 1143697756 1145580696 1162144494 1233702288 1328165136 1336510812 1438845564 1549525992 1552077072 1558749361 1678653158 1715546634 1718371044 1743216741 1782014416 1850553432 1918460752 1992247704 2001471073 2004766218 2158268346 2287395512 2291161392 2324288988 2517979737 2573319951 2673021624 2877691128 3007149327 3099051984 3117498722 3237402519 3357306316 3431093268 3436742088 3486433482 3701106864 3717017707 3984495408 4002942146 4009532436 4316536692 4574791024 4648577976 4676248083 5035959474 5146639902 5346043248 5755382256 6004413219 6014298654 6234997444 6474805038 6714612632 6862186536 6873484176 6972866964 7434035414 7553939211 7719959853 8005884292 8019064872 8633073384 9297155952 9352496166 10071918948 10293279804 10911245527 11151053121 12008826438 12028597308 12469994888 12949610076 13429225264 13724373072 13945733928 14028744249 14868070828 15107878422 15439919706 16011768584 16038129744 17266146768 18013239657 18704992332 20143837896 20586559608 21822491054 22302106242 22661817633 24017652876 24057194616 24939989776 25899220152 26019123949 27891467856 28057488498 29736141656 30215756844 30879839412 32023537168 32733736581 33453159363 36026479314 37409984664 40287675792 41173119216 42086232747 43644982108 44604212484 45323635266 48035305752 48114389232 48321230191 51798440304 52038247898 54039718971 56114976996 59472283312 60431513688 61759678824 65467473162 66906318726 72052958628 74819969328 78057371847 84172465494 87289964216 89208424968 90647270532 96070611504 96642460382 98201209743 100359478089 104076495796 108079437942 112229953992 120863027376 123519357648 130934946324 133812637452 144105917256 144963690573 156114743694 168344930988 174579928432 178416849936 181294541064 193284920764 196402419486 200718956178 208152991592 216158875884 224459907984 234172115541 261869892648 267625274904 288211834512 289927381146 294603629229 312229487388 336689861976 338248611337 362589082128 386569841528 392804838972 401437912356 416305983184 432317751768 434891071719 468344231082 523739785296 535250549808 579854762292 589207258458 624458974776 673379723952 676497222674 702516346623 773139683056 785609677944 802875824712 864635503536 869782143438 936688462164 1014745834011 1159709524584 1178414516916 1248917949552 1304673215157 1352994445348 1405032693246 1571219355888 1605751649424 1739564286876 1873376924328 2029491668022 2319419049168 2356829033832 2609346430314 2705988890696 2810065386492 3044237502033 3479128573752 3746753848656 4058983336044 4713658067664 5218692860628 5411977781392 5620130772984 6088475004066 6958257147504 8117966672088 9132712506099 10437385721256 11240261545968 12176950008132 16235933344176 18265425012198 20874771442512 24353900016264 36530850024396 48707800032528 73061700048792 146123400097584
• Sum of all divisors σ(n): 535976006768640
• Sum of proper divisors (its aliquot sum) s(n): 389852606671056
• 146123400097584 is an abundant number, because the sum of its proper divisors (389852606671056) is greater than itself. Its abundance is 243729206573472

Bases of 146123400097584

• Binary: 100001001110011000000001010110110010111100110000₂
• Hexadecimal: 0x84E6015B2F30
• Base-36: 1FSO5VMGC0

Squares and roots of 146123400097584

• 146123400097584 squared (146123400097584²) is 21352048056078611740722637056
• 146123400097584 cubed (146123400097584³) is 3120033861001215672338685431695388214472704
• The square root of 146123400097584 is 12088151.2274451631
• The cube root of 146123400097584 is 52671.2052678405

Scales and comparisons

• 146,123,400,097,584 seconds is equal to 4,646,272 years, 6 weeks, 6 days, 16 hours, 26 minutes, 24 seconds.
• To count from 1 to 146,123,400,097,584 would take you about eleven million, six hundred fifteen thousand, six hundred eighty 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 146123400097584 cubic inches would be around 4389.3 feet tall.

Recreational maths with 146123400097584

• 146123400097584 backwards is 485790004321641
• 146123400097584 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 146123400097584's digits is 54
• More coming soon!