4142472960
4,142,472,960 is an even composite number composed of seven prime numbers multiplied together.
4142472960 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 4142472960:
28 × 3 × 5 × 17 × 23 × 31 × 89
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 17 × 23 × 31 × 89)See below for interesting mathematical facts about the number 4142472960 from the Numbermatics database.
Names of 4142472960
- Cardinal: 4142472960 can be written as Four billion, one hundred forty-two million, four hundred seventy-two thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 4.14247296 × 109
Factors of 4142472960
Divisors of 4142472960
- Number of divisors d(n): 576
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 23 24 30 31 32 34 40 46 48 51 60 62 64 68 69 80 85 89 92 93 96 102 115 120 124 128 136 138 155 160 170 178 184 186 192 204 230 240 248 255 256 267 272 276 310 320 340 345 356 368 372 384 391 408 445 460 465 480 496 510 527 534 544 552 620 640 680 690 712 713 736 744 768 782 816 890 920 930 960 992 1020 1054 1068 1088 1104 1173 1240 1280 1335 1360 1380 1424 1426 1472 1488 1513 1564 1581 1632 1780 1840 1860 1920 1955 1984 2040 2047 2108 2136 2139 2176 2208 2346 2480 2635 2670 2720 2759 2760 2848 2852 2944 2976 3026 3128 3162 3264 3560 3565 3680 3720 3840 3910 3968 4080 4094 4216 4272 4278 4352 4416 4539 4692 4960 5270 5340 5440 5518 5520 5696 5704 5865 5888 5952 6052 6141 6256 6324 6528 7120 7130 7360 7440 7565 7820 7905 7936 8160 8188 8277 8432 8544 8556 8832 9078 9384 9920 10235 10540 10680 10695 10880 11036 11040 11392 11408 11730 11904 12104 12121 12282 12512 12648 13056 13795 14240 14260 14720 14880 15130 15640 15810 16320 16376 16554 16864 17088 17112 17664 18156 18768 19840 20470 21080 21360 21390 21760 22072 22080 22695 22784 22816 23460 23808 24208 24242 24564 25024 25296 27590 28480 28520 29440 29760 30260 30705 31280 31620 32640 32752 33108 33728 34176 34224 34799 36312 36363 37536 39680 40940 41385 42160 42720 42780 44144 44160 45390 45632 46903 46920 48416 48484 49128 50048 50592 55180 56960 57040 59520 60520 60605 61410 62560 63240 63457 65280 65504 66216 67456 68352 68448 69598 72624 72726 75072 81880 82770 84320 85440 85560 88288 88320 90780 91264 93806 93840 96832 96968 98256 100096 101184 104397 110360 113920 114080 119040 121040 121210 122820 125120 126480 126914 131008 132432 134912 136896 139196 140709 145248 145452 150144 163760 165540 168640 170880 171120 173995 176576 181560 181815 182528 187612 187680 190371 193664 193936 196512 202368 208794 220720 228160 234515 242080 242420 245640 250240 252960 253828 262016 264864 273792 278392 281418 290496 290904 300288 317285 327520 331080 337280 341760 342240 347990 353152 363120 363630 375224 375360 380742 387328 387872 393024 404736 417588 441440 456320 469030 484160 484840 491280 500480 505920 507656 521985 524032 529728 547584 556784 562836 580992 581808 634570 655040 662160 674560 684480 695980 703545 706304 726240 727260 750448 750720 761484 775744 786048 835176 882880 912640 938060 951855 968320 969680 982560 1011840 1015312 1043970 1059456 1078769 1113568 1125672 1161984 1163616 1269140 1310080 1324320 1368960 1391960 1407090 1452480 1454520 1500896 1501440 1522968 1551488 1572096 1670352 1765760 1876120 1903710 1936640 1939360 1965120 2023680 2030624 2087940 2118912 2157538 2227136 2251344 2327232 2538280 2620160 2648640 2737920 2783920 2814180 2904960 2909040 3001792 3045936 3102976 3236307 3340704 3531520 3752240 3807420 3878720 3930240 4061248 4175880 4315076 4454272 4502688 4654464 5076560 5297280 5393845 5567840 5628360 5809920 5818080 6003584 6091872 6472614 6681408 7504480 7614840 7757440 7860480 8122496 8351760 8630152 8908544 9005376 9308928 10153120 10594560 10787690 11135680 11256720 11636160 12007168 12183744 12945228 13362816 15008960 15229680 15514880 16181535 16244992 16703520 17260304 18010752 20306240 21575380 22271360 22513440 23272320 24367488 25890456 26725632 30017920 30459360 32363070 33407040 34520608 36021504 40612480 43150760 44542720 45026880 46544640 48734976 51780912 60035840 60918720 64726140 66814080 69041216 81224960 86301520 90053760 103561824 121837440 129452280 133628160 138082432 172603040 180107520 207123648 243674880 258904560 276164864 345206080 414247296 517809120 690412160 828494592 1035618240 1380824320 2071236480 4142472960
- Sum of all divisors σ(n): 15258378240
- Sum of proper divisors (its aliquot sum) s(n): 11115905280
- 4142472960 is an abundant number, because the sum of its proper divisors (11115905280) is greater than itself. Its abundance is 6973432320
Bases of 4142472960
- Binary: 111101101110100100011111000000002
- Hexadecimal: 0xF6E91F00
- Base-36: 1WIBKLC
Squares and roots of 4142472960
- 4142472960 squared (41424729602) is 17160082224331161600
- 4142472960 cubed (41424729603) is 71085176605668491013390336000
-
The
square root of 4142472960 is 64362.0459587791 -
The
cube root of 4142472960 is 1606.0284244517
Scales and comparisons
How big is 4142472960?- 4,142,472,960 seconds is equal to 131 years, 37 weeks, 2 days, 6 hours, 56 minutes.
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To count from 1 to 4,142,472,960 would take you about two hundred sixty-three 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 4142472960 cubic inches would be around 133.8 feet tall.
Recreational maths with 4142472960
- 4142472960 backwards is 0692742414
- The number of decimal digits it has is: 10
- The sum of 4142472960's digits is 39
- More coming soon!
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