137145779328
137,145,779,328 is an even composite number composed of seven prime numbers multiplied together.
137145779328 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred twelve divisors.
Prime factorization of 137145779328:
27 × 3 × 17 × 19 × 41 × 149 × 181
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 17 × 19 × 41 × 149 × 181)See below for interesting mathematical facts about the number 137145779328 from the Numbermatics database.
Names of 137145779328
- Cardinal: 137145779328 can be written as One hundred thirty-seven billion, one hundred forty-five million, seven hundred seventy-nine thousand, three hundred twenty-eight.
Scientific notation
- Scientific notation: 1.37145779328 × 1011
Factors of 137145779328
Divisors of 137145779328
- Number of divisors d(n): 512
-
Complete list of divisors:
1 2 3 4 6 8 12 16 17 19 24 32 34 38 41 48 51 57 64 68 76 82 96 102 114 123 128 136 149 152 164 181 192 204 228 246 272 298 304 323 328 362 384 408 447 456 492 543 544 596 608 646 656 697 724 779 816 894 912 969 984 1086 1088 1192 1216 1292 1312 1394 1448 1558 1632 1788 1824 1938 1968 2091 2172 2176 2337 2384 2432 2533 2584 2624 2788 2831 2896 3077 3116 3264 3439 3576 3648 3876 3936 4182 4344 4674 4768 5066 5168 5248 5576 5662 5792 6109 6154 6232 6528 6878 7152 7296 7421 7599 7752 7872 8364 8493 8688 9231 9348 9536 10132 10317 10336 11152 11324 11584 12218 12308 12464 13243 13756 14304 14842 15198 15504 15744 16728 16986 17376 18327 18462 18696 19072 20264 20634 20672 22263 22304 22648 23168 24436 24616 24928 26486 26969 27512 28608 29684 30396 31008 33456 33972 34752 36654 36924 37392 39729 40528 41268 41344 44526 44608 45296 48127 48872 49232 49856 52972 53938 55024 57216 58463 59368 60792 62016 66912 67944 69504 73308 73848 74784 79458 80907 81056 82536 89052 89216 90592 96254 97744 98464 99712 103853 105944 107876 110048 116071 116926 118736 121584 124032 126157 133824 135888 140999 144381 146616 147696 149568 158916 161814 162112 165072 175389 178104 181184 192508 195488 196928 207706 211888 215752 220096 232142 233852 237472 243168 252314 267648 271776 281998 288762 293232 295392 299136 311559 317832 323628 324224 330144 348213 350778 356208 362368 378471 385016 390976 393856 415412 422997 423776 431504 440192 458473 464284 467704 474944 486336 504628 512411 543552 563996 577524 586464 590784 623118 635664 647256 660288 696426 701556 712416 756942 770032 781952 830824 845994 847552 863008 916946 928568 935408 949888 972672 1009256 1024822 1087104 1105729 1127992 1155048 1172928 1181568 1246236 1271328 1294512 1320576 1375419 1392852 1403112 1424832 1513884 1537233 1540064 1661648 1691988 1695104 1726016 1833892 1857136 1870816 1973207 2018512 2049644 2211458 2255984 2310096 2345856 2396983 2492472 2542656 2589024 2750838 2785704 2806224 2849664 3027768 3074466 3080128 3317187 3323296 3383976 3452032 3667784 3714272 3741632 3946414 4037024 4099288 4422916 4511968 4620192 4793966 4984944 5085312 5178048 5501676 5571408 5612448 5919621 6055536 6148932 6160256 6634374 6646592 6767952 7190949 7335568 7428544 7483264 7892828 8074048 8198576 8710987 8845832 9023936 9240384 9587932 9969888 10356096 11003352 11142816 11224896 11839242 12111072 12297864 13268748 13293184 13535904 14381898 14671136 14857088 15785656 16148096 16397152 17421974 17691664 18047872 18480768 18797393 19175864 19939776 21008851 22006704 22285632 22449792 23678484 24222144 24595728 26132961 26537496 27071808 28763796 29342272 31571312 32794304 34843948 35383328 37594786 38351728 39879552 42017702 44013408 44571264 47356968 48444288 49191456 52265922 53074992 54143616 56392179 57527592 58684544 63026553 63142624 65588608 69687896 70766656 75189572 76703456 84035404 88026816 94713936 98382912 104531844 106149984 112784358 115055184 126053106 126285248 139375792 141533312 150379144 153406912 168070808 176053632 189427872 196765824 209063688 212299968 225568716 230110368 252106212 252570496 278751584 300758288 306813824 336141616 357150467 378855744 418127376 424599936 451137432 460220736 504212424 557503168 601516576 672283232 714300934 757711488 836254752 902274864 920441472 1008424848 1071451401 1115006336 1203033152 1344566464 1428601868 1672509504 1804549728 2016849696 2142902802 2406066304 2689132928 2857203736 3345019008 3609099456 4033699392 4285805604 5714407472 7218198912 8067398784 8571611208 11428814944 17143222416 22857629888 34286444832 45715259776 68572889664 137145779328
- Sum of all divisors σ(n): 421031520000
- Sum of proper divisors (its aliquot sum) s(n): 283885740672
- 137145779328 is an abundant number, because the sum of its proper divisors (283885740672) is greater than itself. Its abundance is 146739961344
Bases of 137145779328
- Binary: 11111111011101000011010000100100000002
- Hexadecimal: 0x1FEE868480
- Base-36: 1R0520LC
Squares and roots of 137145779328
- 137145779328 squared (1371457793282) is 18808964787484472131584
- 137145779328 cubed (1371457793283) is 2579570134132467831184785043095552
-
The
square root of 137145779328 is 370331.9852888757 -
The
cube root of 137145779328 is 5156.9645845499
Scales and comparisons
How big is 137145779328?- 137,145,779,328 seconds is equal to 4,360 years, 42 weeks, 1 day, 9 hours, 48 minutes, 48 seconds.
-
To count from 1 to 137,145,779,328 would take you about eight thousand, seven hundred twenty-one 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 137145779328 cubic inches would be around 429.7 feet tall.
Recreational maths with 137145779328
- 137145779328 backwards is 823977541731
- 137145779328 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 137145779328's digits is 57
- More coming soon!
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