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131452436340 = 223255091434757
BaseRepresentation
bin111101001101100101…
…1001111111101110100
3110120022010221122201100
41322123023033331310
54123203310430330
6140215521530100
712332341162431
oct1723313177564
9416263848640
10131452436340
1150826523045
12215871a3930
13c51ba82614
14651034ab88
153645615060
hex1e9b2cff74

131452436340 has 72 divisors (see below), whose sum is σ = 399522712680. Its totient is φ = 34985090304.

The previous prime is 131452436333. The next prime is 131452436347. The reversal of 131452436340 is 43634254131.

131452436340 is a `hidden beast` number, since 1 + 3 + 14 + 5 + 2 + 4 + 3 + 634 + 0 = 666.

131452436340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (131452436333) and next prime (131452436347).

It can be written as a sum of positive squares in 4 ways, for example, as 43432227216 + 88020209124 = 208404^2 + 296682^2 .

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 = 131452436295 and 131452436304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131452436347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 625759 + ... + 808998.

It is an arithmetic number, because the mean of its divisors is an integer number (5548926565).

Almost surely, 2131452436340 is an apocalyptic number.

131452436340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131452436340 is an abundant number, since it is smaller than the sum of its proper divisors (268070276340).

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

131452436340 is a wasteful number, since it uses less digits than its factorization.

131452436340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1435281 (or 1435276 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 131452436340 in words is "one hundred thirty-one billion, four hundred fifty-two million, four hundred thirty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 509 1018 1527 2036 2545 3054 4581 5090 6108 7635 9162 10180 15270 18324 22905 30540 45810 91620 1434757 2869514 4304271 5739028 7173785 8608542 12912813 14347570 17217084 21521355 25825626 28695140 43042710 51651252 64564065 86085420 129128130 258256260 730291313 1460582626 2190873939 2921165252 3651456565 4381747878 6572621817 7302913130 8763495756 10954369695 13145243634 14605826260 21908739390 26290487268 32863109085 43817478780 65726218170 131452436340