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1040315024100 = 2235211463680879
BaseRepresentation
bin11110010001101111001…
…10111000001011100100
310200110020100020211210210
433020313212320023210
5114021031121232400
62113525241215420
7135105655542312
oct17106746701344
93613210224723
101040315024100
1137121678a230
12149753491570
13771416a94a1
14384cc7b90b2
151c0dac28950
hexf2379b82e4

1040315024100 has 144 divisors (see below), whose sum is σ = 3290709381120. Its totient is φ = 251652508800.

The previous prime is 1040315024071. The next prime is 1040315024113. The reversal of 1040315024100 is 14205130401.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1187461 + ... + 1868339.

It is an arithmetic number, because the mean of its divisors is an integer number (22852148480).

Almost surely, 21040315024100 is an apocalyptic number.

1040315024100 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 1040315024100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645354690560).

1040315024100 is an abundant number, since it is smaller than the sum of its proper divisors (2250394357020).

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

1040315024100 is a wasteful number, since it uses less digits than its factorization.

1040315024100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681370 (or 681363 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The spelling of 1040315024100 in words is "one trillion, forty billion, three hundred fifteen million, twenty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 463 550 660 825 926 1100 1389 1650 1852 2315 2778 3300 4630 5093 5556 6945 9260 10186 11575 13890 15279 20372 23150 25465 27780 30558 34725 46300 50930 61116 69450 76395 101860 127325 138900 152790 254650 305580 381975 509300 680879 763950 1361758 1527900 2042637 2723516 3404395 4085274 6808790 7489669 8170548 10213185 13617580 14979338 17021975 20426370 22469007 29958676 34043950 37448345 40852740 44938014 51065925 68087900 74896690 89876028 102131850 112345035 149793380 187241725 204263700 224690070 315246977 374483450 449380140 561725175 630493954 748966900 945740931 1123450350 1260987908 1576234885 1891481862 2246900700 3152469770 3467716747 3782963724 4728704655 6304939540 6935433494 7881174425 9457409310 10403150241 13870866988 15762348850 17338583735 18914818620 20806300482 23643523275 31524697700 34677167470 41612600964 47287046550 52015751205 69354334940 86692918675 94574093100 104031502410 173385837350 208063004820 260078756025 346771674700 520157512050 1040315024100