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4204031031144 = 2332727116783363
BaseRepresentation
bin111101001011010011110…
…001101011011101101000
3112212220100011001222121100
4331023103301223131220
51022334323420444034
612535145531041400
7612505544105400
oct75132361533550
915786304058540
104204031031144
111380a12a1116a
1257a9295a0260
132465912b2729
14107694931800
1574553284099
hex3d2d3c6b768

4204031031144 has 144 divisors (see below), whose sum is σ = 13431390541920. Its totient is φ = 1184234022720.

The previous prime is 4204031031139. The next prime is 4204031031209. The reversal of 4204031031144 is 4411301304024.

4204031031144 is a `hidden beast` number, since 4 + 204 + 0 + 310 + 3 + 1 + 144 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8141194 + ... + 8642169.

It is an arithmetic number, because the mean of its divisors is an integer number (93273545430).

Almost surely, 24204031031144 is an apocalyptic number.

It is an amenable number.

4204031031144 is an abundant number, since it is smaller than the sum of its proper divisors (9227359510776).

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

4204031031144 is a wasteful number, since it uses less digits than its factorization.

4204031031144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16783460 (or 16783446 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 4204031031144 its reverse (4411301304024), we get a palindrome (8615332335168).

The spelling of 4204031031144 in words is "four trillion, two hundred four billion, thirty-one million, thirty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 71 72 84 98 126 142 147 168 196 213 252 284 294 392 426 441 497 504 568 588 639 852 882 994 1176 1278 1491 1704 1764 1988 2556 2982 3479 3528 3976 4473 5112 5964 6958 8946 10437 11928 13916 17892 20874 27832 31311 35784 41748 62622 83496 125244 250488 16783363 33566726 50350089 67133452 100700178 117483541 134266904 151050267 201400356 234967082 302100534 352450623 402800712 469934164 604201068 704901246 822384787 939868328 1057351869 1191618773 1208402136 1409802492 1644769574 2114703738 2383237546 2467154361 2819604984 3289539148 3574856319 4229407476 4766475092 4934308722 6579078296 7149712638 7401463083 8341331411 8458814952 9532950184 9868617444 10724568957 14299425276 14802926166 16682662822 19737234888 21449137914 25023994233 28598850552 29605852332 33365325644 42898275828 50047988466 58389319877 59211704664 66730651288 75071982699 85796551656 100095976932 116778639754 150143965398 175167959631 200191953864 233557279508 300287930796 350335919262 467114559016 525503878893 600575861592 700671838524 1051007757786 1401343677048 2102015515572 4204031031144