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131404445152 = 2561215331267
BaseRepresentation
bin111101001100001010…
…0001011010111100000
3110120011210122110011221
41322120110023113200
54123104014221102
6140211045144424
712331216232431
oct1723024132740
9416153573157
10131404445152
1150801424602
12215730bb114
13c511b4b676
146507c17488
1536412d5637
hex1e9850b5e0

131404445152 has 48 divisors (see below), whose sum is σ = 263074068432. Its totient is φ = 64593054720.

The previous prime is 131404445141. The next prime is 131404445171. The reversal of 131404445152 is 251544404131.

It is a happy number.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 4187023 + ... + 4218289.

It is an arithmetic number, because the mean of its divisors is an integer number (5480709759).

Almost surely, 2131404445152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131404445152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131537034216).

131404445152 is an abundant number, since it is smaller than the sum of its proper divisors (131669623280).

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

131404445152 is a wasteful number, since it uses less digits than its factorization.

131404445152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33491 (or 33483 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

Adding to 131404445152 its reverse (251544404131), we get a palindrome (382948849283).

The spelling of 131404445152 in words is "one hundred thirty-one billion, four hundred four million, four hundred forty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 61 122 244 488 976 1952 2153 4306 8612 17224 31267 34448 62534 68896 125068 131333 250136 262666 500272 525332 1000544 1050664 1907287 2101328 3814574 4202656 7629148 15258296 30516592 61033184 67317851 134635702 269271404 538542808 1077085616 2154171232 4106388911 8212777822 16425555644 32851111288 65702222576 131404445152