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1140123131340 = 223544355077789
BaseRepresentation
bin10000100101110100101…
…000100101110111001100
311000222212010211000200020
4100211310220211313030
5122134433010200330
62231433151302140
7145241212500564
oct20456450456714
94028763730606
101140123131340
113aa58386a476
12164b68b1a950
138368950cacb
143d27a167da4
151e9cd1ab210
hex10974a25dcc

1140123131340 has 96 divisors (see below), whose sum is σ = 3200542813440. Its totient is φ = 303252508416.

The previous prime is 1140123131311. The next prime is 1140123131341. The reversal of 1140123131340 is 431313210411.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1140123131340.

It is not an unprimeable number, because it can be changed into a prime (1140123131341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146372166 + ... + 146379954.

It is an arithmetic number, because the mean of its divisors is an integer number (33338987640).

Almost surely, 21140123131340 is an apocalyptic number.

1140123131340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1140123131340 is an abundant number, since it is smaller than the sum of its proper divisors (2060419682100).

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

1140123131340 is a wasteful number, since it uses less digits than its factorization.

1140123131340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13751 (or 13749 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 1140123131340 its reverse (431313210411), we get a palindrome (1571436341751).

The spelling of 1140123131340 in words is "one trillion, one hundred forty billion, one hundred twenty-three million, one hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 443 886 1329 1772 2215 2658 4430 5316 5507 6645 7789 8860 11014 13290 15578 16521 22028 23367 26580 27535 31156 33042 38945 46734 55070 66084 77890 82605 93468 110140 116835 155780 165210 233670 330420 467340 2439601 3450527 4879202 6901054 7318803 9758404 10351581 12198005 13802108 14637606 17252635 20703162 24396010 29275212 34505270 36594015 41406324 42894023 48792020 51757905 69010540 73188030 85788046 103515810 128682069 146376060 171576092 207031620 214470115 257364138 428940230 514728276 643410345 857880460 1286820690 2573641380 19002052189 38004104378 57006156567 76008208756 95010260945 114012313134 190020521890 228024626268 285030782835 380041043780 570061565670 1140123131340