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131412321231440 = 24513911817654787
BaseRepresentation
bin11101111000010011010000…
…101110011110001001010000
3122020021220011121120111021212
4131320103100232132021100
5114211024413213401230
61143253553103235252
736452140553123204
oct3570232056361120
9566256147514255
10131412321231440
113896571a472017
12128a47085a8b28
135843189a46442
142464566d24b04
15102d50927d895
hex7784d0b9e250

131412321231440 has 40 divisors (see below), whose sum is σ = 307731730679520. Its totient is φ = 52186763534976.

The previous prime is 131412321231437. The next prime is 131412321231481. The reversal of 131412321231440 is 44132123214131.

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 = 131412321231397 and 131412321231406.

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, 5908816274 + ... + 5908838513.

It is an arithmetic number, because the mean of its divisors is an integer number (7693293266988).

Almost surely, 2131412321231440 is an apocalyptic number.

131412321231440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131412321231440 is an abundant number, since it is smaller than the sum of its proper divisors (176319409448080).

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

131412321231440 is a wasteful number, since it uses less digits than its factorization.

131412321231440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11817654939 (or 11817654933 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 131412321231440 its reverse (44132123214131), we get a palindrome (175544444445571).

The spelling of 131412321231440 in words is "one hundred thirty-one trillion, four hundred twelve billion, three hundred twenty-one million, two hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 139 278 556 695 1112 1390 2224 2780 5560 11120 11817654787 23635309574 47270619148 59088273935 94541238296 118176547870 189082476592 236353095740 472706191480 945412382960 1642654015393 3285308030786 6570616061572 8213270076965 13141232123144 16426540153930 26282464246288 32853080307860 65706160615720 131412321231440