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244435012000 = 255361108753
BaseRepresentation
bin1110001110100101110…
…1100100100110100000
3212100221002121011201121
43203221131210212200
513001100330341000
6304143014342024
723442220214644
oct3435135444640
9770832534647
10244435012000
1194734212413
123b45895a914
131a086172a9a
14bb8b6bcc24
1565594adb1a
hex38e97649a0

244435012000 has 48 divisors (see below), whose sum is σ = 600576834312. Its totient is φ = 97774003200.

The previous prime is 244435011979. The next prime is 244435012007. The reversal of 244435012000 is 210534442.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 77157283984 + 167277728016 = 277772^2 + 408996^2 .

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

It is not an unprimeable number, because it can be changed into a prime (244435012007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30550377 + ... + 30558376.

Almost surely, 2244435012000 is an apocalyptic number.

244435012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244435012000 is an abundant number, since it is smaller than the sum of its proper divisors (356141822312).

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

244435012000 is an equidigital number, since it uses as much as digits as its factorization.

244435012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61108778 (or 61108760 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 244435012000 its reverse (210534442), we get a palindrome (244645546442).

The spelling of 244435012000 in words is "two hundred forty-four billion, four hundred thirty-five million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 61108753 122217506 244435012 305543765 488870024 611087530 977740048 1222175060 1527718825 1955480096 2444350120 3055437650 4888700240 6110875300 7638594125 9777400480 12221750600 15277188250 24443501200 30554376500 48887002400 61108753000 122217506000 244435012000