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132432333040 = 24571311805239
BaseRepresentation
bin111101101010110010…
…1010000100011110000
3110122211102210120021201
41323111211100203300
54132210134124130
6140501044300544
712365540154220
oct1732545204360
9418742716251
10132432333040
1151189665a27
12217bb3a1754
13c646aa1357
1465a4544080
1536a1674bca
hex1ed59508f0

132432333040 has 80 divisors (see below), whose sum is σ = 354578019840. Its totient is φ = 45058740480.

The previous prime is 132432332987. The next prime is 132432333053. The reversal of 132432333040 is 40333234231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 829260 + ... + 975979.

It is an arithmetic number, because the mean of its divisors is an integer number (4432225248).

Almost surely, 2132432333040 is an apocalyptic number.

132432333040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132432333040 is an abundant number, since it is smaller than the sum of its proper divisors (222145686800).

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

132432333040 is a wasteful number, since it uses less digits than its factorization.

132432333040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1805390 (or 1805384 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 132432333040 its reverse (40333234231), we get a palindrome (172765567271).

The spelling of 132432333040 in words is "one hundred thirty-two billion, four hundred thirty-two million, three hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 131 140 262 280 524 560 655 917 1048 1310 1834 2096 2620 3668 4585 5240 7336 9170 10480 14672 18340 36680 73360 1805239 3610478 7220956 9026195 12636673 14441912 18052390 25273346 28883824 36104780 50546692 63183365 72209560 101093384 126366730 144419120 202186768 236486309 252733460 472972618 505466920 945945236 1010933840 1182431545 1655404163 1891890472 2364863090 3310808326 3783780944 4729726180 6621616652 8277020815 9459452360 13243233304 16554041630 18918904720 26486466608 33108083260 66216166520 132432333040