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1240103142040 = 235767432715277
BaseRepresentation
bin10010000010111011111…
…010000100001010011000
311101112220220211210202111
4102002323322010022120
5130304212401021130
62345410122042104
7155410624533340
oct22027372041230
94345826753674
101240103142040
11438a19992294
12180410049334
138cc30b40c59
14440426a3d20
15223d079802a
hex120bbe84298

1240103142040 has 128 divisors (see below), whose sum is σ = 3237391088640. Its totient is φ = 418708071936.

The previous prime is 1240103142029. The next prime is 1240103142049. The reversal of 1240103142040 is 402413010421.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1240103142049) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 81166882 + ... + 81182158.

It is an arithmetic number, because the mean of its divisors is an integer number (25292117880).

Almost surely, 21240103142040 is an apocalyptic number.

1240103142040 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 1240103142040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618695544320).

1240103142040 is an abundant number, since it is smaller than the sum of its proper divisors (1997287946600).

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

1240103142040 is a wasteful number, since it uses less digits than its factorization.

1240103142040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19689 (or 19685 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 1240103142040 its reverse (402413010421), we get a palindrome (1642516152461).

The spelling of 1240103142040 in words is "one trillion, two hundred forty billion, one hundred three million, one hundred forty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 67 70 134 140 268 280 335 469 536 670 938 1340 1876 2345 2680 3752 4327 4690 8654 9380 15277 17308 18760 21635 30289 30554 34616 43270 60578 61108 76385 86540 106939 121156 122216 151445 152770 173080 213878 242312 289909 302890 305540 427756 534695 579818 605780 611080 855512 1023559 1069390 1159636 1211560 1449545 2029363 2047118 2138780 2319272 2899090 4058726 4094236 4277560 5117795 5798180 7164913 8117452 8188472 10146815 10235590 11596360 14329826 16234904 20293630 20471180 28659652 35824565 40587260 40942360 57319304 66103579 71649130 81174520 132207158 143298260 264414316 286596520 330517895 462725053 528828632 661035790 925450106 1322071580 1850900212 2313625265 2644143160 3701800424 4428939793 4627250530 8857879586 9254501060 17715759172 18509002120 22144698965 31002578551 35431518344 44289397930 62005157102 88578795860 124010314204 155012892755 177157591720 248020628408 310025785510 620051571020 1240103142040