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40575213020160 = 210325721317314361
BaseRepresentation
bin10010011100111001001110…
…01010001010010000000000
312022122221201100201000201100
421032130213022022100000
520304241014013121120
6222143555011334400
711355314414043300
oct1116344712122000
9168587640630640
1040575213020160
1111a2393aa57865
1246738b88b1400
1319842c2b841a0
14a03bca7c7600
154a56c3944490
hex24e72728a400

40575213020160 has 6336 divisors, whose sum is σ = 200208349845504. Its totient is φ = 7491236659200.

The previous prime is 40575213020149. The next prime is 40575213020197. The reversal of 40575213020160 is 6102031257504.

40575213020160 is a `hidden beast` number, since 4 + 0 + 57 + 521 + 3 + 0 + 20 + 1 + 60 = 666.

40575213020160 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 575 ways as a sum of consecutive naturals, for example, 665167426530 + ... + 665167426590.

It is an arithmetic number, because the mean of its divisors is an integer number (31598540064).

Almost surely, 240575213020160 is an apocalyptic number.

40575213020160 is a gapful number since it is divisible by the number (40) 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 40575213020160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100104174922752).

40575213020160 is an abundant number, since it is smaller than the sum of its proper divisors (159633136825344).

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

40575213020160 is a wasteful number, since it uses less digits than its factorization.

40575213020160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

Adding to 40575213020160 its reverse (6102031257504), we get a palindrome (46677244277664).

The spelling of 40575213020160 in words is "forty trillion, five hundred seventy-five billion, two hundred thirteen million, twenty thousand, one hundred sixty".