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44120300302144 = 261162670881111
BaseRepresentation
bin10100000100000100011101…
…10100111010111101000000
312210012212012120212020211201
422002002032310322331000
521240331333334132034
6233500330335150544
712202405112540533
oct1202021664727500
9183185176766751
1044120300302144
1113070350341250
124b46987375454
131b806ac852a21
14ac76109b2a1a
15517a0c1eb014
hex28208ed3af40

44120300302144 has 28 divisors (see below), whose sum is σ = 95510422814688. Its totient is φ = 20054681955200.

The previous prime is 44120300302123. The next prime is 44120300302193.

44120300302144 is nontrivially palindromic in base 10.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 31335439852 + ... + 31335441259.

It is an arithmetic number, because the mean of its divisors is an integer number (3411086529096).

Almost surely, 244120300302144 is an apocalyptic number.

44120300302144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44120300302144 is an abundant number, since it is smaller than the sum of its proper divisors (51390122512544).

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

44120300302144 is a wasteful number, since it uses less digits than its factorization.

44120300302144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62670881134 (or 62670881124 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

It can be divided in two parts, 44120300 and 302144, that added together give a palindrome (44422444).

The spelling of 44120300302144 in words is "forty-four trillion, one hundred twenty billion, three hundred million, three hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 62670881111 125341762222 250683524444 501367048888 689379692221 1002734097776 1378759384442 2005468195552 2757518768884 4010936391104 5515037537768 11030075075536 22060150151072 44120300302144