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444631136404 = 227133159667859
BaseRepresentation
bin1100111100001100001…
…01001011100010010100
31120111200002221000022211
412132012011023202110
524241101032331104
6540132152203204
744060242205140
oct6360605134224
91514602830284
10444631136404
111616267597a4
127220a099504
1332c0bcc01b0
141773d854220
15b874c73e04
hex678614b894

444631136404 has 96 divisors (see below), whose sum is σ = 1005316300800. Its totient is φ = 167338500480.

The previous prime is 444631136381. The next prime is 444631136431. The reversal of 444631136404 is 404631136444.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 331827 + ... + 999685.

It is an arithmetic number, because the mean of its divisors is an integer number (10472044800).

Almost surely, 2444631136404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444631136404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502658150400).

444631136404 is an abundant number, since it is smaller than the sum of its proper divisors (560685164396).

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

444631136404 is a wasteful number, since it uses less digits than its factorization.

444631136404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667973 (or 667971 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 40.

Adding to 444631136404 its sum of digits (40), we get a palindrome (444631136444).

The spelling of 444631136404 in words is "four hundred forty-four billion, six hundred thirty-one million, one hundred thirty-six thousand, four hundred four".

Divisors: 1 2 4 7 13 14 26 28 31 52 59 62 91 118 124 182 217 236 364 403 413 434 767 806 826 868 1534 1612 1652 1829 2821 3068 3658 5369 5642 7316 10738 11284 12803 21476 23777 25606 47554 51212 95108 166439 332878 665756 667859 1335718 2671436 4675013 8682167 9350026 17364334 18700052 20703629 34728668 39403681 41407258 60775169 78807362 82814516 121550338 144925403 157614724 243100676 269147177 275825767 289850806 512247853 538294354 551651534 579701612 1024495706 1076588708 1103303068 1221514111 1884030239 2048991412 2443028222 3585734971 3768060478 4886056444 7171469942 7536120956 8550598777 14342939884 15879683443 17101197554 31759366886 34202395108 63518733772 111157784101 222315568202 444631136404