Search a number
-
+
32131063065140 = 225131072115473757
BaseRepresentation
bin1110100111001000110001…
…00110011010101000110100
311012202200220000211011021222
413103210120212122220310
513202413404121041030
6152200450120325512
76524251460514014
oct723443046325064
9135680800734258
1032131063065140
11a2687864995a6
12372b270013898
1314c0c3bb96470
147d121a58bc44
153aac091073e5
hex1d391899aa34

32131063065140 has 96 divisors (see below), whose sum is σ = 73692371942784. Its totient is φ = 11697197621760.

The previous prime is 32131063065133. The next prime is 32131063065169. The reversal of 32131063065140 is 4156036013123.

It is a super-3 number, since 3×321310630651403 (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 32131063065140.

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, 3133142 + ... + 8606898.

It is an arithmetic number, because the mean of its divisors is an integer number (767628874404).

Almost surely, 232131063065140 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 32131063065140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36846185971392).

32131063065140 is an abundant number, since it is smaller than the sum of its proper divisors (41561308877644).

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

32131063065140 is a wasteful number, since it uses less digits than its factorization.

32131063065140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5474097 (or 5474095 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 35.

Adding to 32131063065140 its reverse (4156036013123), we get a palindrome (36287099078263).

The spelling of 32131063065140 in words is "thirty-two trillion, one hundred thirty-one billion, sixty-three million, sixty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 107 130 211 214 260 422 428 535 844 1055 1070 1391 2110 2140 2743 2782 4220 5486 5564 6955 10972 13715 13910 22577 27430 27820 45154 54860 90308 112885 225770 293501 451540 587002 1174004 1467505 2935010 5473757 5870020 10947514 21895028 27368785 54737570 71158841 109475140 142317682 284635364 355794205 585691999 711588410 1154962727 1171383998 1423176820 2309925454 2342767996 2928459995 4619850908 5774813635 5856919990 7613995987 11549627270 11713839980 15014515451 15227991974 23099254540 30029030902 30455983948 38069979935 60058061804 75072577255 76139959870 123581011789 150145154510 152279919740 247162023578 300290309020 494324047156 617905058945 1235810117890 1606553153257 2471620235780 3213106306514 6426212613028 8032765766285 16065531532570 32131063065140