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131343230413040 = 2451799172013297
BaseRepresentation
bin11101110111010010111010…
…100101111010100011110000
3122020001021211120000021002212
4131313102322211322203300
5114203411413441204130
61143202125211231252
736444143455632602
oct3567227245724360
9566037746007085
10131343230413040
11389393955035a8
1212893246148528
1358397c8a8b689
142461090d79172
15102b8138aee95
hex7774ba97a8f0

131343230413040 has 40 divisors (see below), whose sum is σ = 307079005217040. Its totient is φ = 52243787734016.

The previous prime is 131343230413039. The next prime is 131343230413079. The reversal of 131343230413040 is 40314032343131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 131343230412988 and 131343230413006.

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, 4585992329 + ... + 4586020968.

It is an arithmetic number, because the mean of its divisors is an integer number (7676975130426).

Almost surely, 2131343230413040 is an apocalyptic number.

131343230413040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131343230413040 is an abundant number, since it is smaller than the sum of its proper divisors (175735774804000).

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

131343230413040 is a wasteful number, since it uses less digits than its factorization.

131343230413040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9172013489 (or 9172013483 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 131343230413040 its reverse (40314032343131), we get a palindrome (171657262756171).

The spelling of 131343230413040 in words is "one hundred thirty-one trillion, three hundred forty-three billion, two hundred thirty million, four hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 179 358 716 895 1432 1790 2864 3580 7160 14320 9172013297 18344026594 36688053188 45860066485 73376106376 91720132970 146752212752 183440265940 366880531880 733761063760 1641790380163 3283580760326 6567161520652 8208951900815 13134323041304 16417903801630 26268646082608 32835807603260 65671615206520 131343230413040