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132411053504240 = 2457432233548837
BaseRepresentation
bin11110000110110101011001…
…110011101111011011110000
3122100211101001222112200222122
4132012311121303233123300
5114323410314144113430
61145340444230053412
736614245225304450
oct3606653163573360
9570741058480878
10132411053504240
1139210237832785
1212a26195aaa268
1358b6402496634
14249aa2cc4bd60
1510494ae57bee5
hex786d59cef6f0

132411053504240 has 240 divisors, whose sum is σ = 361754194696128. Its totient is φ = 44151915515904.

The previous prime is 132411053504189. The next prime is 132411053504273. The reversal of 132411053504240 is 42405350114231.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 132411053504240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 240983102 + ... + 241531938.

Almost surely, 2132411053504240 is an apocalyptic number.

132411053504240 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 132411053504240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180877097348064).

132411053504240 is an abundant number, since it is smaller than the sum of its proper divisors (229343141191888).

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

132411053504240 is a wasteful number, since it uses less digits than its factorization.

132411053504240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549176 (or 549127 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The spelling of 132411053504240 in words is "one hundred thirty-two trillion, four hundred eleven billion, fifty-three million, five hundred four thousand, two hundred forty".