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131404040242320 = 24352232455232441
BaseRepresentation
bin11101111000001011100011…
…001001000000010010010000
3122020021002210111102122210010
4131320023203021000102100
5114210410433300223240
61143250103245034520
736451425420642606
oct3570134311002220
9566232714378703
10131404040242320
113896216002535a
12128a2b97255a40
13584246a230691
142463dbd1d5876
15102d1c227c280
hex7782e3240490

131404040242320 has 80 divisors (see below), whose sum is σ = 409179217853952. Its totient is φ = 34883942507520.

The previous prime is 131404040242259. The next prime is 131404040242373. The reversal of 131404040242320 is 23242040404131.

131404040242320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1227562701 + ... + 1227669740.

Almost surely, 2131404040242320 is an apocalyptic number.

131404040242320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131404040242320 is an abundant number, since it is smaller than the sum of its proper divisors (277775177611632).

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

131404040242320 is a wasteful number, since it uses less digits than its factorization.

131404040242320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2455232680 (or 2455232674 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 131404040242320 its reverse (23242040404131), we get a palindrome (154646080646451).

The spelling of 131404040242320 in words is "one hundred thirty-one trillion, four hundred four billion, forty million, two hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 223 240 446 669 892 1115 1338 1784 2230 2676 3345 3568 4460 5352 6690 8920 10704 13380 17840 26760 53520 2455232441 4910464882 7365697323 9820929764 12276162205 14731394646 19641859528 24552324410 29462789292 36828486615 39283719056 49104648820 58925578584 73656973230 98209297640 117851157168 147313946460 196418595280 294627892920 547516834343 589255785840 1095033668686 1642550503029 2190067337372 2737584171715 3285101006058 4380134674744 5475168343430 6570202012116 8212752515145 8760269349488 10950336686860 13140404024232 16425505030290 21900673373720 26280808048464 32851010060580 43801346747440 65702020121160 131404040242320