40977990144
40,977,990,144 is an even composite number composed of six prime numbers multiplied together.
40977990144 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 40977990144:
29 × 32 × 7 × 13 × 79 × 1237
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 13 × 79 × 1237)See below for interesting mathematical facts about the number 40977990144 from the Numbermatics database.
Names of 40977990144
- Cardinal: 40977990144 can be written as Forty billion, nine hundred seventy-seven million, nine hundred ninety thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 4.0977990144 × 1010
Factors of 40977990144
Divisors of 40977990144
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 64 72 78 79 84 91 96 104 112 117 126 128 144 156 158 168 182 192 208 224 234 237 252 256 273 288 312 316 336 364 384 416 448 468 474 504 512 546 553 576 624 632 672 711 728 768 819 832 896 936 948 1008 1027 1092 1106 1152 1237 1248 1264 1344 1422 1456 1536 1638 1659 1664 1792 1872 1896 2016 2054 2184 2212 2304 2474 2496 2528 2688 2844 2912 3081 3276 3318 3328 3584 3711 3744 3792 4032 4108 4368 4424 4608 4948 4977 4992 5056 5376 5688 5824 6162 6552 6636 6656 7189 7422 7488 7584 8064 8216 8659 8736 8848 9243 9896 9954 9984 10112 10752 11133 11376 11648 12324 13104 13272 14378 14844 14976 15168 16081 16128 16432 17318 17472 17696 18486 19792 19908 19968 20224 21567 22266 22752 23296 24648 25977 26208 26544 28756 29688 29952 30336 32162 32256 32864 34636 34944 35392 36972 39584 39816 40448 43134 44532 45504 46592 48243 49296 51954 52416 53088 57512 59376 59904 60672 64324 64701 65728 69272 69888 70784 73944 77931 79168 79632 86268 89064 91008 96486 97723 98592 103908 104832 106176 112567 115024 118752 121344 128648 129402 131456 138544 139776 141568 144729 147888 155862 158336 159264 172536 178128 182016 192972 195446 197184 207816 209664 212352 225134 230048 237504 257296 258804 262912 277088 283136 289458 293169 295776 311724 316672 318528 337701 345072 356256 364032 385944 390892 394368 415632 419328 424704 450268 460096 475008 514592 517608 525824 554176 578916 586338 591552 623448 633344 637056 675402 684061 690144 712512 771888 781784 788736 831264 849408 879507 900536 920192 950016 1013103 1029184 1035216 1108352 1157832 1172676 1183104 1246896 1270399 1274112 1350804 1368122 1380288 1425024 1543776 1563568 1577472 1662528 1759014 1801072 1840384 1900032 2026206 2052183 2058368 2070432 2216704 2315664 2345352 2366208 2493792 2540798 2548224 2701608 2736244 2760576 2850048 3087552 3127136 3325056 3518028 3602144 3680768 3811197 4052412 4104366 4116736 4140864 4433408 4631328 4690704 4732416 4987584 5081596 5403216 5472488 5521152 5700096 6156549 6175104 6254272 6650112 7036056 7204288 7622394 8104824 8208732 8233472 8281728 8892793 9262656 9381408 9975168 10163192 10806432 10944976 11042304 11433591 12313098 12350208 12508544 13300224 14072112 14408576 15244788 16209648 16417464 16563456 17785586 18525312 18762816 19950336 20326384 21612864 21889952 22867182 24626196 24700416 25017088 26678379 28144224 28817152 30489576 32419296 32834928 33126912 35571172 37050624 37525632 39900672 40652768 43225728 43779904 45734364 49252392 50034176 53356758 56288448 57634304 60979152 64838592 65669856 71142344 74101248 75051264 80035137 81305536 86451456 87559808 91468728 98504784 106713516 112576896 121958304 129677184 131339712 142284688 150102528 160070274 162611072 172902912 175119616 182937456 197009568 213427032 225153792 243916608 259354368 262679424 284569376 320140548 325222144 350239232 365874912 394019136 426854064 450307584 487833216 518708736 525358848 569138752 640281096 650444288 731749824 788038272 853708128 975666432 1050717696 1138277504 1280562192 1463499648 1576076544 1707416256 1951332864 2276555008 2561124384 2926999296 3152153088 3414832512 4553110016 5122248768 5853998592 6829665024 10244497536 13659330048 20488995072 40977990144
- Sum of all divisors σ(n): 147518891520
- Sum of proper divisors (its aliquot sum) s(n): 106540901376
- 40977990144 is an abundant number, because the sum of its proper divisors (106540901376) is greater than itself. Its abundance is 65562911232
Bases of 40977990144
- Binary: 1001100010100111101010000010000000002
- Hexadecimal: 0x98A7A8200
- Base-36: ITP8JK0
Squares and roots of 40977990144
- 40977990144 squared (409779901442) is 1679195676241761140736
- 40977990144 cubed (409779901443) is 68810063870882302986282004905984
-
The
square root of 40977990144 is 202430.2105516861 -
The
cube root of 40977990144 is 3447.6000993281
Scales and comparisons
How big is 40977990144?- 40,977,990,144 seconds is equal to 1,302 years, 50 weeks, 4 days, 7 hours, 2 minutes, 24 seconds.
-
To count from 1 to 40,977,990,144 would take you about two thousand, six hundred five 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 40977990144 cubic inches would be around 287.3 feet tall.
Recreational maths with 40977990144
- 40977990144 backwards is 44109977904
- The number of decimal digits it has is: 11
- The sum of 40977990144's digits is 54
- More coming soon!
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