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32312043144 = 23327315739157
BaseRepresentation
bin11110000101111100…
…101010011010001000
310002101212210212022200
4132011330222122020
51012133340340034
622502143120200
72222502556263
oct360574523210
9102355725280
1032312043144
1112781340297
1263192a3060
13307c395a74
1417c752dcda
15c91ac8a99
hex785f2a688

32312043144 has 96 divisors (see below), whose sum is σ = 89277890520. Its totient is φ = 10555204608.

The previous prime is 32312043139. The next prime is 32312043151. The reversal of 32312043144 is 44134021323.

32312043144 is a `hidden beast` number, since 32 + 312 + 0 + 4 + 314 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29994776100 + 2317267044 = 173190^2 + 48138^2 .

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 23 ways as a sum of consecutive naturals, for example, 805614 + ... + 844770.

Almost surely, 232312043144 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 32312043144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44638945260).

32312043144 is an abundant number, since it is smaller than the sum of its proper divisors (56965847376).

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

32312043144 is a wasteful number, since it uses less digits than its factorization.

32312043144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39399 (or 39392 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 32312043144 its reverse (44134021323), we get a palindrome (76446064467).

The spelling of 32312043144 in words is "thirty-two billion, three hundred twelve million, forty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 157 219 292 314 438 471 584 628 657 876 942 1256 1314 1413 1752 1884 2628 2826 3768 5256 5652 11304 11461 22922 34383 39157 45844 68766 78314 91688 103149 117471 137532 156628 206298 234942 275064 313256 352413 412596 469884 704826 825192 939768 1409652 2819304 2858461 5716922 6147649 8575383 11433844 12295298 17150766 18442947 22867688 24590596 25726149 34301532 36885894 49181192 51452298 55328841 68603064 73771788 102904596 110657682 147543576 205809192 221315364 442630728 448778377 897556754 1346335131 1795113508 2692670262 3590227016 4039005393 5385340524 8078010786 10770681048 16156021572 32312043144