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4404124551424 = 28131918168993
BaseRepresentation
bin100000000010110101001…
…0001111000100100000000
3120121000211000022222210211
41000011222101320210000
51034124121341121144
613211121001403504
7633121212006313
oct100055221704400
916530730288724
104404124551424
111448862548554
125b1670499594
1325c3cbab6c40
141132371d897a
1579864a2d034
hex4016a478900

4404124551424 has 72 divisors (see below), whose sum is σ = 9467910563832. Its totient is φ = 2032537436160.

The previous prime is 4404124551413. The next prime is 4404124551433. The reversal of 4404124551424 is 4241554214044.

It can be written as a sum of positive squares in 4 ways, for example, as 72597913600 + 4331526637824 = 269440^2 + 2081232^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63799872 + ... + 63868864.

It is an arithmetic number, because the mean of its divisors is an integer number (131498757831).

Almost surely, 24404124551424 is an apocalyptic number.

It is an amenable number.

4404124551424 is an abundant number, since it is smaller than the sum of its proper divisors (5063786012408).

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

4404124551424 is a wasteful number, since it uses less digits than its factorization.

4404124551424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88203 (or 88189 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 40.

Adding to 4404124551424 its reverse (4241554214044), we get a palindrome (8645678765468).

The spelling of 4404124551424 in words is "four trillion, four hundred four billion, one hundred twenty-four million, five hundred fifty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1664 3328 19181 38362 68993 76724 137986 153448 249353 275972 306896 498706 551944 613792 896909 997412 1103888 1227584 1793818 1994824 2207776 2455168 3587636 3989648 4415552 4910336 7175272 7979296 8831104 14350544 15958592 17662208 28701088 31917184 57402176 63834368 114804352 229608704 1323354733 2646709466 5293418932 10586837864 17203611529 21173675728 34407223058 42347351456 68814446116 84694702912 137628892232 169389405824 275257784464 338778811648 550515568928 1101031137856 2202062275712 4404124551424