Search a number
-
+
132654354044040 = 233252621140589209
BaseRepresentation
bin11110001010010111111111…
…101001101001010010001000
3122101200122002000102201102100
4132022113333221221102020
5114341402104113402130
61150044322521033400
736640650361623333
oct3612277751512210
9571618060381370
10132654354044040
11392a4439625364
1212a65376925860
1359033375a8c9a
1424a870d9b761a
15105099e145c60
hex78a5ffa69488

132654354044040 has 96 divisors (see below), whose sum is σ = 431291143085400. Its totient is φ = 35360997596160.

The previous prime is 132654354044011. The next prime is 132654354044041. The reversal of 132654354044040 is 40440453456231.

132654354044040 is a `hidden beast` number, since 1 + 3 + 2 + 65 + 4 + 3 + 540 + 4 + 4 + 0 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 128148150624516 + 4506203419524 = 11320254^2 + 2122782^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (132654354044041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69351045 + ... + 71238164.

Almost surely, 2132654354044040 is an apocalyptic number.

132654354044040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132654354044040 is an abundant number, since it is smaller than the sum of its proper divisors (298636789041360).

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

132654354044040 is a wasteful number, since it uses less digits than its factorization.

132654354044040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140591847 (or 140591840 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 45.

The spelling of 132654354044040 in words is "one hundred thirty-two trillion, six hundred fifty-four billion, three hundred fifty-four million, forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 2621 5242 7863 10484 13105 15726 20968 23589 26210 31452 39315 47178 52420 62904 78630 94356 104840 117945 157260 188712 235890 314520 471780 943560 140589209 281178418 421767627 562356836 702946045 843535254 1124713672 1265302881 1405892090 1687070508 2108838135 2530605762 2811784180 3374141016 4217676270 5061211524 5623568360 6326514405 8435352540 10122423048 12653028810 16870705080 25306057620 50612115240 368484316789 736968633578 1105452950367 1473937267156 1842421583945 2210905900734 2947874534312 3316358851101 3684843167890 4421811801468 5527264751835 6632717702202 7369686335780 8843623602936 11054529503670 13265435404404 14739372671560 16581794255505 22109059007340 26530870808808 33163588511010 44218118014680 66327177022020 132654354044040