468007400640
468,007,400,640 is an even composite number composed of five prime numbers multiplied together.
468007400640 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred ninety-two divisors.
Prime factorization of 468007400640:
26 × 3 × 5 × 136 × 101
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 13 × 13 × 13 × 13 × 13 × 101)See below for interesting mathematical facts about the number 468007400640 from the Numbermatics database.
Names of 468007400640
- Cardinal: 468007400640 can be written as Four hundred sixty-eight billion, seven million, four hundred thousand, six hundred forty.
Scientific notation
- Scientific notation: 4.6800740064 × 1011
Factors of 468007400640
Divisors of 468007400640
- Number of divisors d(n): 392
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 101 104 120 130 156 160 169 192 195 202 208 240 260 303 312 320 338 390 404 416 480 505 507 520 606 624 676 780 808 832 845 960 1010 1014 1040 1212 1248 1313 1352 1515 1560 1616 1690 2020 2028 2080 2197 2424 2496 2535 2626 2704 3030 3120 3232 3380 3939 4040 4056 4160 4394 4848 5070 5252 5408 6060 6240 6464 6565 6591 6760 7878 8080 8112 8788 9696 10140 10504 10816 10985 12120 12480 13130 13182 13520 15756 16160 16224 17069 17576 19392 19695 20280 21008 21970 24240 26260 26364 27040 28561 31512 32320 32448 32955 34138 35152 39390 40560 42016 43940 48480 51207 52520 52728 54080 57122 63024 65910 68276 70304 78780 81120 84032 85345 85683 87880 96960 102414 105040 105456 114244 126048 131820 136552 140608 142805 157560 162240 170690 171366 175760 204828 210080 210912 221897 228488 252096 256035 263640 273104 285610 315120 341380 342732 351520 371293 409656 420160 421824 428415 443794 456976 512070 527280 546208 571220 630240 665691 682760 685464 703040 742586 819312 856830 887588 913952 1024140 1054560 1092416 1109485 1113879 1142440 1260480 1331382 1365520 1370928 1485172 1638624 1713660 1775176 1827904 1856465 2048280 2109120 2218970 2227758 2284880 2662764 2731040 2741856 2884661 2970344 3277248 3328455 3427320 3550352 3712930 4096560 4437940 4455516 4569760 4826809 5325528 5462080 5483712 5569395 5769322 5940688 6656910 6854640 7100704 7425860 8193120 8653983 8875880 8911032 9139520 9653618 10651056 11138790 11538644 11881376 13313820 13709280 14201408 14423305 14480427 14851720 16386240 17307966 17751760 17822064 19307236 21302112 22277580 23077288 23762752 24134045 26627640 27418560 28846610 28960854 29703440 34615932 35503520 35644128 37500593 38614472 42604224 43269915 44555160 46154576 48268090 53255280 57693220 57921708 59406880 69231864 71007040 71288256 72402135 75001186 77228944 86539830 89110320 92309152 96536180 106510560 112501779 115386440 115843416 118813760 138463728 144804270 150002372 154457888 173079660 178220640 184618304 187502965 193072360 213021120 225003558 230772880 231686832 276927456 289608540 300004744 308915776 346159320 356441280 375005930 386144720 450007116 461545760 463373664 487507709 553854912 562508895 579217080 600009488 692318640 750011860 772289440 900014232 923091520 926747328 975015418 1125017790 1158434160 1200018976 1384637280 1462523127 1500023720 1544578880 1800028464 1950030836 2250035580 2316868320 2400037952 2437538545 2769274560 2925046254 3000047440 3600056928 3900061672 4500071160 4633736640 4875077090 5850092508 6000094880 7200113856 7312615635 7800123344 9000142320 9750154180 11700185016 12000189760 14625231270 15600246688 18000284640 19500308360 23400370032 29250462540 31200493376 36000569280 39000616720 46800740064 58500925080 78001233440 93601480128 117001850160 156002466880 234003700320 468007400640
- Sum of all divisors σ(n): 1625688552528
- Sum of proper divisors (its aliquot sum) s(n): 1157681151888
- 468007400640 is an abundant number, because the sum of its proper divisors (1157681151888) is greater than itself. Its abundance is 689673751248
Bases of 468007400640
- Binary: 1101100111101110110101000110100110000002
- Hexadecimal: 0x6CF76A34C0
- Base-36: 5YZZITHC
Squares and roots of 468007400640
- 468007400640 squared (4680074006402) is 219030927053809472409600
- 468007400640 cubed (4680074006403) is 102508094830222824592226693382144000
-
The
square root of 468007400640 is 684110.6640303161 -
The
cube root of 468007400640 is 7763.9770010103
Scales and comparisons
How big is 468007400640?- 468,007,400,640 seconds is equal to 14,881 years, 9 weeks, 5 days, 7 hours, 44 minutes.
-
To count from 1 to 468,007,400,640 would take you about twenty-nine thousand, seven hundred sixty-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 468007400640 cubic inches would be around 647 feet tall.
Recreational maths with 468007400640
- 468007400640 backwards is 046004700864
- 468007400640 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 468007400640's digits is 39
- More coming soon!
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