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115302221233040 = 24567791491827509
BaseRepresentation
bin11010001101110111100011…
…111100000011101110010000
3120010020210012001020021011202
4122031313203330003232100
5110103102422113424130
61045121035330130332
733200211346416422
oct3215674374035620
9503223161207152
10115302221233040
1133814440a66236
1210b224147209a8
134c44c5041b3aa
14206892b832812
15d4e41e606145
hex68dde3f03b90

115302221233040 has 160 divisors (see below), whose sum is σ = 277372157760000. Its totient is φ = 44556340967424.

The previous prime is 115302221233013. The next prime is 115302221233057. The reversal of 115302221233040 is 40332122203511.

It is a junction number, because it is equal to n+sod(n) for n = 115302221232994 and 115302221233012.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62178806 + ... + 64006314.

It is an arithmetic number, because the mean of its divisors is an integer number (1733575986000).

Almost surely, 2115302221233040 is an apocalyptic number.

115302221233040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115302221233040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138686078880000).

115302221233040 is an abundant number, since it is smaller than the sum of its proper divisors (162069936526960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

115302221233040 is a wasteful number, since it uses less digits than its factorization.

115302221233040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827817 (or 1827811 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

Adding to 115302221233040 its reverse (40332122203511), we get a palindrome (155634343436551).

The spelling of 115302221233040 in words is "one hundred fifteen trillion, three hundred two billion, two hundred twenty-one million, two hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 67 79 80 134 149 158 268 298 316 335 395 536 596 632 670 745 790 1072 1192 1264 1340 1490 1580 2384 2680 2980 3160 5293 5360 5960 6320 9983 10586 11771 11920 19966 21172 23542 26465 39932 42344 47084 49915 52930 58855 79864 84688 94168 99830 105860 117710 159728 188336 199660 211720 235420 399320 423440 470840 788657 798640 941680 1577314 1827509 3154628 3655018 3943285 6309256 7310036 7886570 9137545 12618512 14620072 15773140 18275090 29240144 31546280 36550180 63092560 73100360 122443103 144373211 146200720 244886206 272298841 288746422 489772412 544597682 577492844 612215515 721866055 979544824 1089195364 1154985688 1224431030 1361494205 1443732110 1959089648 2178390728 2309971376 2448862060 2722988410 2887464220 4356781456 4897724120 5445976820 5774928440 9673005137 9795448240 10891953640 11549856880 18244022347 19346010274 21511608439 21783907280 36488044694 38692020548 43023216878 48365025685 72976089388 77384041096 86046433756 91220111735 96730051370 107558042195 145952178776 154768082192 172092867512 182440223470 193460102740 215116084390 291904357552 344185735024 364880446940 386920205480 430232168780 729760893880 773840410960 860464337560 1441277765413 1459521787760 1720928675120 2882555530826 5765111061652 7206388827065 11530222123304 14412777654130 23060444246608 28825555308260 57651110616520 115302221233040