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140154442244000 = 255338990073549
BaseRepresentation
bin11111110111100000111111…
…101111100101111110100000
3200101020122010001120102122022
4133313200333233211332200
5121332242244203302000
61214030021212201012
741343552506511032
oct3767407757457640
9611218101512568
10140154442244000
114072618a912028
1213876a53169168
1360286793c3bb2
142687722a31c52
151130b1309b585
hex7f783fbe5fa0

140154442244000 has 96 divisors (see below), whose sum is σ = 345244711266000. Its totient is φ = 55917658598400.

The previous prime is 140154442243979. The next prime is 140154442244021. The reversal of 140154442244000 is 442244451041.

It is an interprime number because it is at equal distance from previous prime (140154442243979) and next prime (140154442244021).

It can be written as a sum of positive squares in 8 ways, for example, as 11534255948944 + 128620186295056 = 3396212^2 + 11341084^2 .

It is a super-3 number, since 3×1401544422440003 (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43480775 + ... + 46592774.

Almost surely, 2140154442244000 is an apocalyptic number.

140154442244000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140154442244000 is an abundant number, since it is smaller than the sum of its proper divisors (205090269022000).

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

140154442244000 is an equidigital number, since it uses as much as digits as its factorization.

140154442244000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90073963 (or 90073945 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 35.

Adding to 140154442244000 its reverse (442244451041), we get a palindrome (140596686695041).

The spelling of 140154442244000 in words is "one hundred forty trillion, one hundred fifty-four billion, four hundred forty-two million, two hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 389 400 500 778 800 1000 1556 1945 2000 3112 3890 4000 6224 7780 9725 12448 15560 19450 31120 38900 48625 62240 77800 97250 155600 194500 311200 389000 778000 1556000 90073549 180147098 360294196 450367745 720588392 900735490 1441176784 1801470980 2251838725 2882353568 3602941960 4503677450 7205883920 9007354900 11259193625 14411767840 18014709800 22518387250 35038610561 36029419600 45036774500 70077221122 72058839200 90073549000 140154442244 175193052805 180147098000 280308884488 350386105610 360294196000 560617768976 700772211220 875965264025 1121235537952 1401544422440 1751930528050 2803088844880 3503861056100 4379826320125 5606177689760 7007722112200 8759652640250 14015444224400 17519305280500 28030888448800 35038610561000 70077221122000 140154442244000