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132423045353040 = 2435131713719991577
BaseRepresentation
bin11110000111000000100100…
…100101000000111001010000
3122100212112000201022201222210
4132013000210211000321100
5114324104344102244130
61145350150205032120
736615151340321661
oct3607004445007120
9570775021281883
10132423045353040
1139215330927222
1212a28581b55640
1358b7593a35c60
14249b449747368
15104996223c5b0
hex787024940e50

132423045353040 has 640 divisors, whose sum is σ = 473885819366400. Its totient is φ = 30301698392064.

The previous prime is 132423045353029. The next prime is 132423045353041. The reversal of 132423045353040 is 40353540324231.

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

It is a self number, because there is not a number n which added to its sum of digits gives 132423045353040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132423045353041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1445983732 + ... + 1446075308.

It is an arithmetic number, because the mean of its divisors is an integer number (740446592760).

Almost surely, 2132423045353040 is an apocalyptic number.

132423045353040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132423045353040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236942909683200).

132423045353040 is an abundant number, since it is smaller than the sum of its proper divisors (341462774013360).

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

132423045353040 is a wasteful number, since it uses less digits than its factorization.

132423045353040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91959 (or 91953 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 39.

Adding to 132423045353040 its reverse (40353540324231), we get a palindrome (172776585677271).

The spelling of 132423045353040 in words is "one hundred thirty-two trillion, four hundred twenty-three billion, forty-five million, three hundred fifty-three thousand, forty".