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131233440000320 = 2657409143242927
BaseRepresentation
bin11101110101101100101010…
…100100101110100101000000
3122012122210110001222102102122
4131311230222210232211000
5114200112041120002240
61143035450545503412
736433205660550020
oct3565545244564500
9565583401872378
10131233440000320
11388a68756a4519
1212875b05641b68
13582c34cb24818
142459a37951a80
151028a39db74b5
hex775b2a92e940

131233440000320 has 112 divisors (see below), whose sum is σ = 358015644526080. Its totient is φ = 44884311404544.

The previous prime is 131233440000319. The next prime is 131233440000353. The reversal of 131233440000320 is 23000044332131.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 131233440000320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70705304 + ... + 72537623.

Almost surely, 2131233440000320 is an apocalyptic number.

131233440000320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131233440000320 is an abundant number, since it is smaller than the sum of its proper divisors (226782204525760).

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

131233440000320 is a wasteful number, since it uses less digits than its factorization.

131233440000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143243360 (or 143243350 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 131233440000320 its reverse (23000044332131), we get a palindrome (154233484332451).

The spelling of 131233440000320 in words is "one hundred thirty-one trillion, two hundred thirty-three billion, four hundred forty million, three hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 409 448 560 818 1120 1636 2045 2240 2863 3272 4090 5726 6544 8180 11452 13088 14315 16360 22904 26176 28630 32720 45808 57260 65440 91616 114520 130880 183232 229040 458080 916160 143242927 286485854 572971708 716214635 1002700489 1145943416 1432429270 2005400978 2291886832 2864858540 4010801956 4583773664 5013502445 5729717080 8021603912 9167547328 10027004890 11459434160 16043207824 20054009780 22918868320 32086415648 40108019560 45837736640 58586357143 64172831296 80216039120 117172714286 160432078240 234345428572 292931785715 320864156480 410104500001 468690857144 585863571430 820209000002 937381714288 1171727142860 1640418000004 1874763428576 2050522500005 2343454285720 3280836000008 3749526857152 4101045000010 4686908571440 6561672000016 8202090000020 9373817142880 13123344000032 16404180000040 18747634285760 26246688000064 32808360000080 65616720000160 131233440000320