1972498440
1,972,498,440 is an even composite number composed of seven prime numbers multiplied together.
1972498440 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 1972498440:
23 × 3 × 5 × 112 × 17 × 61 × 131
(2 × 2 × 2 × 3 × 5 × 11 × 11 × 17 × 61 × 131)See below for interesting mathematical facts about the number 1972498440 from the Numbermatics database.
Names of 1972498440
- Cardinal: 1972498440 can be written as One billion, nine hundred seventy-two million, four hundred ninety-eight thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.97249844 × 109
Factors of 1972498440
Divisors of 1972498440
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 17 20 22 24 30 33 34 40 44 51 55 60 61 66 68 85 88 102 110 120 121 122 131 132 136 165 170 183 187 204 220 242 244 255 262 264 305 330 340 363 366 374 393 408 440 484 488 510 524 561 605 610 655 660 671 680 726 732 748 786 915 935 968 1020 1037 1048 1122 1210 1220 1310 1320 1342 1441 1452 1464 1496 1572 1815 1830 1870 1965 2013 2040 2057 2074 2227 2244 2420 2440 2620 2684 2805 2882 2904 3111 3144 3355 3630 3660 3740 3930 4026 4114 4148 4323 4454 4488 4840 5185 5240 5368 5610 5764 6171 6222 6681 6710 7205 7260 7320 7381 7480 7860 7991 8052 8228 8296 8646 8908 10065 10285 10370 11135 11220 11407 11528 12342 12444 13362 13420 14410 14520 14762 15555 15720 15851 15982 16104 16456 17292 17816 20130 20570 20740 21615 22143 22270 22440 22814 23973 24497 24684 24888 26724 26840 28820 29524 30855 31110 31702 31964 33405 34221 34584 36905 39955 40260 41140 41480 43230 44286 44540 45628 47553 47946 48994 49368 53448 57035 57640 59048 61710 62220 63404 63928 66810 68442 73491 73810 79255 79910 80520 82280 86460 87901 88572 89080 91256 95106 95892 97988 110715 114070 119865 122485 123420 124440 125477 126808 133620 135847 136884 146982 147620 158510 159820 171105 172920 175802 177144 190212 191784 195976 221430 228140 237765 239730 244970 246840 250954 263703 267240 269467 271694 273768 293964 295240 317020 319640 342210 351604 367455 376431 380424 407541 439505 442860 456280 475530 479460 489940 501908 527406 538934 543388 587928 627385 634040 679235 684420 703208 734910 752862 808401 815082 879010 885720 951060 958920 966911 979880 1003816 1054812 1077868 1086776 1254770 1318515 1347335 1358470 1368840 1469820 1494317 1505724 1616802 1630164 1758020 1882155 1902120 1933822 2037705 2109624 2155736 2509540 2637030 2694670 2716940 2900733 2939640 2988634 3011448 3233604 3260328 3516040 3764310 3867644 4042005 4075410 4482951 4834555 5019080 5274060 5389340 5433880 5801466 5977268 6467208 7471585 7528620 7735288 8084010 8150820 8965902 9669110 10548120 10778680 11602932 11954536 14503665 14943170 15057240 16168020 16301640 16437487 17931804 19338220 22414755 23205864 29007330 29886340 32336040 32874974 35863608 38676440 44829510 49312461 58014660 59772680 65749948 82187435 89659020 98624922 116029320 131499896 164374870 179318040 197249844 246562305 328749740 394499688 493124610 657499480 986249220 1972498440
- Sum of all divisors σ(n): 7053298560
- Sum of proper divisors (its aliquot sum) s(n): 5080800120
- 1972498440 is an abundant number, because the sum of its proper divisors (5080800120) is greater than itself. Its abundance is 3108301680
Bases of 1972498440
- Binary: 11101011001000111110000000010002
- Hexadecimal: 0x7591F008
- Base-36: WMDHJC
Squares and roots of 1972498440
- 1972498440 squared (19724984402) is 3890750095802433600
- 1972498440 cubed (19724984403) is 7674498494400150824203584000
-
The
square root of 1972498440 is 44412.8184199111 -
The
cube root of 1972498440 is 1254.1194099895
Scales and comparisons
How big is 1972498440?- 1,972,498,440 seconds is equal to 62 years, 37 weeks, 2 days, 20 hours, 14 minutes.
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To count from 1 to 1,972,498,440 would take you about one hundred twenty-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 1972498440 cubic inches would be around 104.5 feet tall.
Recreational maths with 1972498440
- 1972498440 backwards is 0448942791
- The number of decimal digits it has is: 10
- The sum of 1972498440's digits is 48
- More coming soon!
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