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131404313311032 = 23338990371155747
BaseRepresentation
bin11101111000001011110011…
…011010101011011100111000
3122020021010111112020222122010
4131320023303122223130320
5114210412013201423112
61143250150321525520
736451435244664366
oct3570136332533470
9566233445228563
10131404313311032
1138962290184983
12128a30527a38a0
1358424b198c1b8
142464007598636
15102d1db21b63c
hex7782f36ab738

131404313311032 has 64 divisors (see below), whose sum is σ = 329361043190400. Its totient is φ = 43688073726080.

The previous prime is 131404313311001. The next prime is 131404313311057. The reversal of 131404313311032 is 230113313404131.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 843625783 + ... + 843781529.

It is an arithmetic number, because the mean of its divisors is an integer number (5146266299850).

Almost surely, 2131404313311032 is an apocalyptic number.

131404313311032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131404313311032 is an abundant number, since it is smaller than the sum of its proper divisors (197956729879368).

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

131404313311032 is a wasteful number, since it uses less digits than its factorization.

131404313311032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246516 (or 246512 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

Adding to 131404313311032 its reverse (230113313404131), we get a palindrome (361517626715163).

The spelling of 131404313311032 in words is "one hundred thirty-one trillion, four hundred four billion, three hundred thirteen million, three hundred eleven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 389 778 1167 1556 2334 3112 4668 9336 90371 155747 180742 271113 311494 361484 467241 542226 622988 722968 934482 1084452 1245976 1868964 2168904 3737928 35154319 60585583 70308638 105462957 121171166 140617276 181756749 210925914 242342332 281234552 363513498 421851828 484684664 727026996 843703656 1454053992 14075012137 28150024274 42225036411 56300048548 84450072822 112600097096 168900145644 337800291288 5475179721293 10950359442586 16425539163879 21900718885172 32851078327758 43801437770344 65702156655516 131404313311032