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32162144531140 = 22513413797960651
BaseRepresentation
bin1110101000000010101010…
…01100110011001011000100
311012212200010011002020010101
413110001111030303023010
513203421032444444030
6152223030224133444
76526431631563661
oct724012514631304
9135780104066111
1032162144531140
11a27a986138a88
1237352a5167284
1314c3b53320170
147d29284aca68
153ab927b557ca
hex1d40553332c4

32162144531140 has 96 divisors (see below), whose sum is σ = 74706579480960. Its totient is φ = 11555042688000.

The previous prime is 32162144531129. The next prime is 32162144531159. The reversal of 32162144531140 is 4113544126123.

It is a happy number.

It is a super-2 number, since 2×321621445311402 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 32162144531140.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59815 + ... + 8020465.

It is an arithmetic number, because the mean of its divisors is an integer number (778193536260).

Almost surely, 232162144531140 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 32162144531140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37353289740480).

32162144531140 is an abundant number, since it is smaller than the sum of its proper divisors (42544434949820).

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

32162144531140 is a wasteful number, since it uses less digits than its factorization.

32162144531140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7961093 (or 7961091 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

Adding to 32162144531140 its reverse (4113544126123), we get a palindrome (36275688657263).

The spelling of 32162144531140 in words is "thirty-two trillion, one hundred sixty-two billion, one hundred forty-four million, five hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 41 52 65 82 130 164 205 260 379 410 533 758 820 1066 1516 1895 2132 2665 3790 4927 5330 7580 9854 10660 15539 19708 24635 31078 49270 62156 77695 98540 155390 202007 310780 404014 808028 1010035 2020070 4040140 7960651 15921302 31842604 39803255 79606510 103488463 159213020 206976926 326386691 413953852 517442315 652773382 1034884630 1305546764 1631933455 2069769260 3017086729 3263866910 4243026983 6034173458 6527733820 8486053966 12068346916 15085433645 16972107932 21215134915 30170867290 39222127477 42430269830 60341734580 78444254954 84860539660 123700555889 156888509908 196110637385 247401111778 392221274770 494802223556 618502779445 784442549540 1237005558890 1608107226557 2474011117780 3216214453114 6432428906228 8040536132785 16081072265570 32162144531140