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20241403162000 = 245392910894189
BaseRepresentation
bin1001001101000110100011…
…01001010010110110010000
32122200001121012002202001121
410212203101221102312100
510123113343202141000
6111014434445412024
74156251561031666
oct446432151226620
978601535082047
1020241403162000
1164a4370435699
12232ab04b6a014
13b3a9aa2a0227
144dd991002c36
152517d30adb1a
hex1268d1a52d90

20241403162000 has 80 divisors (see below), whose sum is σ = 48996401641200. Its totient is φ = 8087845171200.

The previous prime is 20241403161983. The next prime is 20241403162033. The reversal of 20241403162000 is 26130414202.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 7978771907584 + 12262631254416 = 2824672^2 + 3501804^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 3589095 + ... + 7305094.

It is an arithmetic number, because the mean of its divisors is an integer number (612455020515).

Almost surely, 220241403162000 is an apocalyptic number.

20241403162000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20241403162000 is an abundant number, since it is smaller than the sum of its proper divisors (28754998479200).

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

20241403162000 is a wasteful number, since it uses less digits than its factorization.

20241403162000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10895141 (or 10895125 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 20241403162000 its reverse (26130414202), we get a palindrome (20267533576202).

The spelling of 20241403162000 in words is "twenty trillion, two hundred forty-one billion, four hundred three million, one hundred sixty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 929 1000 1858 2000 3716 4645 7432 9290 14864 18580 23225 37160 46450 74320 92900 116125 185800 232250 371600 464500 929000 1858000 10894189 21788378 43576756 54470945 87153512 108941890 174307024 217883780 272354725 435767560 544709450 871535120 1089418900 1361773625 2178837800 2723547250 4357675600 5447094500 10120701581 10894189000 20241403162 21788378000 40482806324 50603507905 80965612648 101207015810 161931225296 202414031620 253017539525 404828063240 506035079050 809656126480 1012070158100 1265087697625 2024140316200 2530175395250 4048280632400 5060350790500 10120701581000 20241403162000