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32241340144 = 24134367173311
BaseRepresentation
bin11110000001101110…
…111100111011110000
310002012221202210001001
4132001232330323300
51012012240341034
622451135451344
72220653604136
oct360156747360
9102187683031
1032241340144
111274543a062
1262b9686b54
13306a83c280
1417bbda7756
15c8a7aea14
hex781bbcef0

32241340144 has 160 divisors (see below), whose sum is σ = 70494488064. Its totient is φ = 14189091840.

The previous prime is 32241340133. The next prime is 32241340171. The reversal of 32241340144 is 44104314223.

It is a super-2 number, since 2×322413401442 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103669749 + ... + 103670059.

Almost surely, 232241340144 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 32241340144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35247244032).

32241340144 is an abundant number, since it is smaller than the sum of its proper divisors (38253147920).

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

32241340144 is a wasteful number, since it uses less digits than its factorization.

32241340144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 32241340144 its reverse (44104314223), we get a palindrome (76345654367).

The spelling of 32241340144 in words is "thirty-two billion, two hundred forty-one million, three hundred forty thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 43 52 67 86 104 134 172 173 208 268 311 344 346 536 559 622 688 692 871 1072 1118 1244 1384 1742 2236 2249 2488 2768 2881 3484 4043 4472 4498 4976 5762 6968 7439 8086 8944 8996 11524 11591 13373 13936 14878 16172 17992 20837 23048 23182 26746 29756 32344 35984 37453 41674 46096 46364 53492 53803 59512 64688 74906 83348 92728 96707 106984 107606 119024 149812 150683 166696 173849 185456 193414 213968 215212 270881 299624 301366 333392 347698 386828 430424 498413 541762 599248 602732 695396 699439 773656 860848 895991 996826 1083524 1205464 1390792 1398878 1547312 1791982 1993652 2167048 2313529 2410928 2781584 2797756 3583964 3604801 3987304 4334096 4627058 5595512 6479369 7167928 7209602 7974608 9254116 11191024 11647883 12958738 14335856 14419204 18508232 23295766 25917476 28838408 30075877 37016464 46591532 46862413 51834952 57676816 60151754 93183064 93724826 103669904 120303508 155006443 186366128 187449652 240607016 310012886 374899304 481214032 620025772 749798608 1240051544 2015083759 2480103088 4030167518 8060335036 16120670072 32241340144