Search a number
-
+
132114141323200 = 2652211391333357
BaseRepresentation
bin11110000010100000111000…
…011101101001111111000000
3122022202222200122220010112201
4132002200320131221333000
5114304024230134320300
61144552222035402544
736553634403354541
oct3602407035517700
9568688618803481
10132114141323200
1139106324628583
1212998732753454
1358944052b954a
14248a503c524c8
1510418d300c66a
hex782838769fc0

132114141323200 has 84 divisors (see below), whose sum is σ = 326624039254552. Its totient is φ = 52595203046400.

The previous prime is 132114141323179. The next prime is 132114141323209. The reversal of 132114141323200 is 2323141411231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132114141323209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 195329079 + ... + 196004278.

Almost surely, 2132114141323200 is an apocalyptic number.

132114141323200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132114141323200 is an abundant number, since it is smaller than the sum of its proper divisors (194509897931352).

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

132114141323200 is a wasteful number, since it uses less digits than its factorization.

132114141323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391333590 (or 391333575 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 132114141323200 its reverse (2323141411231), we get a palindrome (134437282734431).

The spelling of 132114141323200 in words is "one hundred thirty-two trillion, one hundred fourteen billion, one hundred forty-one million, three hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 211 320 400 422 800 844 1055 1600 1688 2110 3376 4220 5275 6752 8440 10550 13504 16880 21100 33760 42200 67520 84400 168800 337600 391333357 782666714 1565333428 1956666785 3130666856 3913333570 6261333712 7826667140 9783333925 12522667424 15653334280 19566667850 25045334848 31306668560 39133335700 62613337120 78266671400 82571338327 125226674240 156533342800 165142676654 313066685600 330285353308 412856691635 626133371200 660570706616 825713383270 1321141413232 1651426766540 2064283458175 2642282826464 3302853533080 4128566916350 5284565652928 6605707066160 8257133832700 13211414132320 16514267665400 26422828264640 33028535330800 66057070661600 132114141323200