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131402321030016 = 2732537912120513
BaseRepresentation
bin11101111000001001111100…
…101010101110101110000000
3122020020221100200102121212100
4131320021330222232232000
5114210343423140430031
61143245220512230400
736451335003612051
oct3570117452565600
9566227320377770
10131402321030016
113896145862a743
12128a279753b400
135842254cb83aa
142463c98b4c728
15102d121380de6
hex77827caaeb80

131402321030016 has 96 divisors (see below), whose sum is σ = 378131074326720. Its totient is φ = 43799938744320.

The previous prime is 131402321030003. The next prime is 131402321030077. The reversal of 131402321030016 is 610030123204131.

It is a happy number.

131402321030016 is a `hidden beast` number, since 1 + 3 + 1 + 402 + 3 + 210 + 30 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60906976 + ... + 63027488.

It is an arithmetic number, because the mean of its divisors is an integer number (3938865357570).

Almost surely, 2131402321030016 is an apocalyptic number.

131402321030016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

131402321030016 is an abundant number, since it is smaller than the sum of its proper divisors (246728753296704).

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

131402321030016 is a wasteful number, since it uses less digits than its factorization.

131402321030016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2174324 (or 2174309 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 131402321030016 its reverse (610030123204131), we get a palindrome (741432444234147).

The spelling of 131402321030016 in words is "one hundred thirty-one trillion, four hundred two billion, three hundred twenty-one million, thirty thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 53791 107582 161373 215164 322746 430328 484119 645492 860656 968238 1290984 1721312 1936476 2120513 2581968 3442624 3872952 4241026 5163936 6361539 6885248 7745904 8482052 10327872 12723078 15491808 16964104 19084617 20655744 25446156 30983616 33928208 38169234 50892312 61967232 67856416 76338468 101784624 135712832 152676936 203569248 271425664 305353872 407138496 610707744 814276992 1221415488 2442830976 114064514783 228129029566 342193544349 456258059132 684387088698 912516118264 1026580633047 1368774177396 1825032236528 2053161266094 2737548354792 3650064473056 4106322532188 5475096709584 7300128946112 8212645064376 10950193419168 14600257892224 16425290128752 21900386838336 32850580257504 43800773676672 65701160515008 131402321030016