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131855855040 = 263257134229
BaseRepresentation
bin111101011001100111…
…0001010110111000000
3110121100021001110010200
41322303032022313000
54130020044330130
6140323532325200
712345340163310
oct1726316126700
9417307043120
10131855855040
1150a13213528
122167a313800
13c584520000
14654bb61440
15366ac51760
hex1eb338adc0

131855855040 has 840 divisors, whose sum is σ = 563962844640. Its totient is φ = 27698651136.

The previous prime is 131855855023. The next prime is 131855855041. The reversal of 131855855040 is 40558558131.

131855855040 is a `hidden beast` number, since 1 + 3 + 1 + 8 + 5 + 58 + 550 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131855855041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 575789646 + ... + 575789874.

Almost surely, 2131855855040 is an apocalyptic number.

131855855040 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 131855855040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281981422320).

131855855040 is an abundant number, since it is smaller than the sum of its proper divisors (432106989600).

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

131855855040 is an equidigital number, since it uses as much as digits as its factorization.

131855855040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 45.

The spelling of 131855855040 in words is "one hundred thirty-one billion, eight hundred fifty-five million, eight hundred fifty-five thousand, forty".