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131555413440 = 26335119411471
BaseRepresentation
bin111101010000101010…
…0000100110111000000
3110120120022201102202000
41322201110010313000
54123411141212230
6140234041024000
712335031364263
oct1724124046700
9416508642660
10131555413440
1150879668290
12215b5785000
13c5371c9209
14651dcb4cda
15364e6a6b60
hex1ea1504dc0

131555413440 has 448 divisors, whose sum is σ = 507171594240. Its totient is φ = 31836672000.

The previous prime is 131555413421. The next prime is 131555413447. The reversal of 131555413440 is 44314555131.

131555413440 is a `hidden beast` number, since 1 + 3 + 155 + 54 + 13 + 440 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 131555413395 and 131555413404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131555413447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89431905 + ... + 89433375.

Almost surely, 2131555413440 is an apocalyptic number.

131555413440 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 131555413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253585797120).

131555413440 is an abundant number, since it is smaller than the sum of its proper divisors (375616180800).

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

131555413440 is a wasteful number, since it uses less digits than its factorization.

131555413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2449 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 131555413440 its reverse (44314555131), we get a palindrome (175869968571).

The spelling of 131555413440 in words is "one hundred thirty-one billion, five hundred fifty-five million, four hundred thirteen thousand, four hundred forty".