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45675142344240 = 24351049181423349
BaseRepresentation
bin10100110001010100100101…
…01000100110111000110000
312222201111112012110210020120
422120222102220212320300
521441320142420003430
6241050512024210240
712422630415043623
oct1230522250467060
9188644465423216
1045675142344240
111360a7a0117572
125158194909980
131c641bbc107c6
14b3c98da73dba
155431ae08e610
hex298a92a26e30

45675142344240 has 80 divisors (see below), whose sum is σ = 141727921020000. Its totient is φ = 12168426797056.

The previous prime is 45675142344203. The next prime is 45675142344281. The reversal of 45675142344240 is 4244324157654.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×456751423442402 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 90459915 + ... + 90963434.

It is an arithmetic number, because the mean of its divisors is an integer number (1771599012750).

Almost surely, 245675142344240 is an apocalyptic number.

45675142344240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45675142344240 is an abundant number, since it is smaller than the sum of its proper divisors (96052778675760).

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

45675142344240 is a wasteful number, since it uses less digits than its factorization.

45675142344240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181424414 (or 181424408 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 51.

The spelling of 45675142344240 in words is "forty-five trillion, six hundred seventy-five billion, one hundred forty-two million, three hundred forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1049 2098 3147 4196 5245 6294 8392 10490 12588 15735 16784 20980 25176 31470 41960 50352 62940 83920 125880 251760 181423349 362846698 544270047 725693396 907116745 1088540094 1451386792 1814233490 2177080188 2721350235 2902773584 3628466980 4354160376 5442700470 7256933960 8708320752 10885400940 14513867920 21770801880 43541603760 190313093101 380626186202 570939279303 761252372404 951565465505 1141878558606 1522504744808 1903130931010 2283757117212 2854696396515 3045009489616 3806261862020 4567514234424 5709392793030 7612523724040 9135028468848 11418785586060 15225047448080 22837571172120 45675142344240