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131642023240 = 235713373312953
BaseRepresentation
bin111101010011001111…
…0011101110101001000
3110120210100200200001101
41322212132131311020
54124100324220430
6140250413231144
712340132510060
oct1724636356510
9416710620041
10131642023240
1150913543532
122161a7924b4
13c54c132010
14652b5bc3a0
1536570b3dca
hex1ea679dd48

131642023240 has 256 divisors, whose sum is σ = 375658053120. Its totient is φ = 40400363520.

The previous prime is 131642023223. The next prime is 131642023321. The reversal of 131642023240 is 42320246131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 131642023199 and 131642023208.

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, 44577604 + ... + 44580556.

It is an arithmetic number, because the mean of its divisors is an integer number (1467414270).

Almost surely, 2131642023240 is an apocalyptic number.

131642023240 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 131642023240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187829026560).

131642023240 is an abundant number, since it is smaller than the sum of its proper divisors (244016029880).

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

131642023240 is a wasteful number, since it uses less digits than its factorization.

131642023240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3352 (or 3348 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 131642023240 its reverse (42320246131), we get a palindrome (173962269371).

The spelling of 131642023240 in words is "one hundred thirty-one billion, six hundred forty-two million, twenty-three thousand, two hundred forty".