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44123233232144 = 24111675371496387
BaseRepresentation
bin10100000100001001111011…
…01001001010010100010000
312210020010202222200112102202
422002010331221022110100
521240403340201412034
6233501533350102332
712202540565202053
oct1202047551122420
9183203688615382
1044123233232144
1113071615961a40
124b4746564a9a8
131b80a59383271
14ac780c31aa9a
15517b2e94247e
hex28213da4a510

44123233232144 has 40 divisors (see below), whose sum is σ = 93261089220768. Its totient is φ = 20055881991680.

The previous prime is 44123233232129. The next prime is 44123233232237.

44123233232144 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 44123233232098 and 44123233232107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28738319 + ... + 30234705.

Almost surely, 244123233232144 is an apocalyptic number.

44123233232144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44123233232144 is an abundant number, since it is smaller than the sum of its proper divisors (49137855988624).

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

44123233232144 is a wasteful number, since it uses less digits than its factorization.

44123233232144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1663943 (or 1663937 counting only the distinct ones).

The product of its digits is 331776, while the sum is 38.

It can be divided in two parts, 4412323 and 3232144, that added together give a palindrome (7644467).

The spelling of 44123233232144 in words is "forty-four trillion, one hundred twenty-three billion, two hundred thirty-three million, two hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 167537 335074 670148 1340296 1496387 1842907 2680592 2992774 3685814 5985548 7371628 11971096 14743256 16460257 23942192 29486512 32920514 65841028 131682056 263364112 250700188819 501400377638 1002800755276 2005601510552 2757702077009 4011203021104 5515404154018 11030808308036 22061616616072 44123233232144