Search a number
-
+
132400543205424 = 24313233149309867
BaseRepresentation
bin11110000110101011100111…
…010110001000100000110000
3122100210100221111120012111010
4132012223213112020200300
5114323222303030033144
61145331545253550520
736613423613243034
oct3606534726104060
9570710844505433
10132400543205424
1139206833a6770a
1212a24142045440
1358b5418b59500
14249a3130121c4
1510490969be5b9
hex786ae7588830

132400543205424 has 120 divisors (see below), whose sum is σ = 371487922185792. Its totient is φ = 40615550426880.

The previous prime is 132400543205423. The next prime is 132400543205431. The reversal of 132400543205424 is 424502345004231.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (132400543205423) 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, 21969862 + ... + 27340005.

Almost surely, 2132400543205424 is an apocalyptic number.

It is an amenable number.

132400543205424 is an abundant number, since it is smaller than the sum of its proper divisors (239087378980368).

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

132400543205424 is a wasteful number, since it uses less digits than its factorization.

132400543205424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49310235 (or 49310216 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 39.

Adding to 132400543205424 its reverse (424502345004231), we get a palindrome (556902888209655).

The spelling of 132400543205424 in words is "one hundred thirty-two trillion, four hundred billion, five hundred forty-three million, two hundred five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 208 312 331 338 507 624 662 676 993 1014 1324 1352 1986 2028 2648 2704 3972 4056 4303 5296 7944 8112 8606 12909 15888 17212 25818 34424 51636 55939 68848 103272 111878 167817 206544 223756 335634 447512 671268 895024 1342536 2685072 49309867 98619734 147929601 197239468 295859202 394478936 591718404 641028271 788957872 1183436808 1282056542 1923084813 2366873616 2564113084 3846169626 5128226168 7692339252 8333367523 10256452336 15384678504 16321565977 16666735046 25000102569 30769357008 32643131954 33333470092 48964697931 50000205138 65286263908 66666940184 97929395862 100000410276 130572527816 133333880368 195858791724 200000820552 212180357701 261145055632 391717583448 400001641104 424360715402 636541073103 783435166896 848721430804 1273082146206 1697442861608 2546164292412 2758344650113 3394885723216 5092328584824 5516689300226 8275033950339 10184657169648 11033378600452 16550067900678 22066757200904 33100135801356 44133514401808 66200271602712 132400543205424