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1031412441240 = 23325103116672
BaseRepresentation
bin11110000001001001111…
…10001110000010011000
310122121020220110202222200
433000210332032002120
5113344313041104430
62105454020050200
7134342235045246
oct17004476160230
93577226422880
101031412441240
11368468485a35
12147a89b33960
137635317718c
1437cc62c1796
151bc69391460
hexf024f8e098

1031412441240 has 144 divisors (see below), whose sum is σ = 3357355744080. Its totient is φ = 274611711360.

The previous prime is 1031412441233. The next prime is 1031412441271. The reversal of 1031412441240 is 421442141301.

1031412441240 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 412 + 4 + 4 + 1 + 240 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 618722887 + ... + 618724553.

It is an arithmetic number, because the mean of its divisors is an integer number (23314970445).

Almost surely, 21031412441240 is an apocalyptic number.

1031412441240 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 1031412441240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678677872040).

1031412441240 is an abundant number, since it is smaller than the sum of its proper divisors (2325943302840).

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

1031412441240 is a wasteful number, since it uses less digits than its factorization.

1031412441240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4382 (or 2708 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 1031412441240 its reverse (421442141301), we get a palindrome (1452854582541).

The spelling of 1031412441240 in words is "one trillion, thirty-one billion, four hundred twelve million, four hundred forty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1031 1667 2062 3093 3334 4124 5001 5155 6186 6668 8248 8335 9279 10002 10310 12372 13336 15003 15465 16670 18558 20004 20620 24744 25005 30006 30930 33340 37116 40008 41240 46395 50010 60012 61860 66680 74232 75015 92790 100020 120024 123720 150030 185580 200040 300060 371160 600120 1718677 2778889 3437354 5156031 5557778 6874708 8336667 8593385 10312062 11115556 13749416 13894445 15468093 16673334 17186770 20624124 22231112 25010001 25780155 27788890 30936186 33346668 34373540 41248248 41683335 50020002 51560310 55577780 61872372 66693336 68747080 77340465 83366670 100040004 103120620 111155560 123744744 125050005 154680930 166733340 200080008 206241240 250100010 309361860 333466680 500200020 618723720 1000400040 2865034559 5730069118 8595103677 11460138236 14325172795 17190207354 22920276472 25785311031 28650345590 34380414708 42975518385 51570622062 57300691180 68760829416 85951036770 103141244124 114601382360 128926555155 171902073540 206282488248 257853110310 343804147080 515706220620 1031412441240