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131404321453312 = 2823310692060801
BaseRepresentation
bin11101111000001011110011…
…111001101111010100000000
3122020021010112002120122202001
4131320023303321233110000
5114210412022243001222
61143250151212233344
736451435404125665
oct3570136371572400
9566233462518661
10131404321453312
1138962294836336
12128a305546b854
1358424b358030b
1424640086b7a6c
15102d1dbcc8e27
hex7782f3e6f500

131404321453312 has 72 divisors (see below), whose sum is σ = 263667622032360. Its totient is φ = 65358947942400.

The previous prime is 131404321453289. The next prime is 131404321453357. The reversal of 131404321453312 is 213354123404131.

It can be written as a sum of positive squares in 4 ways, for example, as 2601433506816 + 128802887946496 = 1612896^2 + 11349136^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62733312 + ... + 64794112.

It is an arithmetic number, because the mean of its divisors is an integer number (3662050306005).

Almost surely, 2131404321453312 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 131404321453312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131833811016180).

131404321453312 is an abundant number, since it is smaller than the sum of its proper divisors (132263300579048).

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

131404321453312 is a wasteful number, since it uses less digits than its factorization.

131404321453312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2062119 (or 2062105 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

Adding to 131404321453312 its reverse (213354123404131), we get a palindrome (344758444857443).

The spelling of 131404321453312 in words is "one hundred thirty-one trillion, four hundred four billion, three hundred twenty-one million, four hundred fifty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 233 256 466 932 1069 1864 2138 3728 4276 7456 8552 14912 17104 29824 34208 59648 68416 136832 249077 273664 498154 996308 1992616 2060801 3985232 4121602 7970464 8243204 15940928 16486408 31881856 32972816 63763712 65945632 131891264 263782528 480166633 527565056 960333266 1920666532 2202996269 3841333064 4405992538 7682666128 8811985076 15365332256 17623970152 30730664512 35247940304 61461329024 70495880608 122922658048 140991761216 281983522432 513298130677 563967044864 1026596261354 2053192522708 4106385045416 8212770090832 16425540181664 32851080363328 65702160726656 131404321453312