Search a number
-
+
132329133240 = 23352938025613
BaseRepresentation
bin111101100111101101…
…1100101010010111000
3110122120020121110202220
41323033123211102320
54132002224230430
6140442520324040
712363145034163
oct1731733452270
9418506543686
10132329133240
1151136389437
1221790913620
13c62b5aa295
14659495cada
15369758c110
hex1ecf6e54b8

132329133240 has 64 divisors (see below), whose sum is σ = 410676631200. Its totient is φ = 34070948352.

The previous prime is 132329133191. The next prime is 132329133241. The reversal of 132329133240 is 42331923231.

It is a super-3 number, since 3×1323291332403 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132329133241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19009327 + ... + 19016286.

Almost surely, 2132329133240 is an apocalyptic number.

132329133240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132329133240 is an abundant number, since it is smaller than the sum of its proper divisors (278347497960).

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

132329133240 is a wasteful number, since it uses less digits than its factorization.

132329133240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38025656 (or 38025652 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

It can be divided in two parts, 1323291 and 33240, that added together give a palindrome (1356531).

The spelling of 132329133240 in words is "one hundred thirty-two billion, three hundred twenty-nine million, one hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 3480 38025613 76051226 114076839 152102452 190128065 228153678 304204904 380256130 456307356 570384195 760512260 912614712 1102742777 1140768390 1521024520 2205485554 2281536780 3308228331 4410971108 4563073560 5513713885 6616456662 8821942216 11027427770 13232913324 16541141655 22054855540 26465826648 33082283310 44109711080 66164566620 132329133240