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132994024240 = 24573112319157
BaseRepresentation
bin111101111011100001…
…1111100001100110000
3110201021120201102202111
41323313003330030300
54134332432233430
6141032511255104
712415500361000
oct1736703741460
9421246642674
10132994024240
1151447728930
122193751a494
13c7062760cc
146618d98000
1536d5b26c2a
hex1ef70fc330

132994024240 has 320 divisors, whose sum is σ = 410502297600. Its totient is φ = 39648322560.

The previous prime is 132994024201. The next prime is 132994024271. The reversal of 132994024240 is 42420499231.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 132994024193 and 132994024202.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6932742 + ... + 6951898.

It is an arithmetic number, because the mean of its divisors is an integer number (1282819680).

Almost surely, 2132994024240 is an apocalyptic number.

132994024240 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 132994024240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205251148800).

132994024240 is an abundant number, since it is smaller than the sum of its proper divisors (277508273360).

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

132994024240 is a wasteful number, since it uses less digits than its factorization.

132994024240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19225 (or 19205 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The spelling of 132994024240 in words is "one hundred thirty-two billion, nine hundred ninety-four million, twenty-four thousand, two hundred forty".