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131403432235540 = 225195379101817709
BaseRepresentation
bin11101111000001010111110…
…111001101001001000010100
3122020021001020010100201021111
4131320022332321221020110
5114210403212123014130
61143245523045224404
736451404355655233
oct3570127671511024
9566231203321244
10131403432235540
11389619788a8913
12128a2a47702104
1358423a129055a
142463d62566b1a
15102d188bcc02a
hex7782bee69214

131403432235540 has 192 divisors, whose sum is σ = 302665216896000. Its totient is φ = 47759380531200.

The previous prime is 131403432235531. The next prime is 131403432235577. The reversal of 131403432235540 is 45532234304131.

It is a junction number, because it is equal to n+sod(n) for n = 131403432235493 and 131403432235502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 160288206 + ... + 161105914.

It is an arithmetic number, because the mean of its divisors is an integer number (1576381338000).

Almost surely, 2131403432235540 is an apocalyptic number.

131403432235540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131403432235540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151332608448000).

131403432235540 is an abundant number, since it is smaller than the sum of its proper divisors (171261784660460).

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

131403432235540 is a wasteful number, since it uses less digits than its factorization.

131403432235540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817970 (or 817968 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 40.

Adding to 131403432235540 its reverse (45532234304131), we get a palindrome (176935666539671).

The spelling of 131403432235540 in words is "one hundred thirty-one trillion, four hundred three billion, four hundred thirty-two million, two hundred thirty-five thousand, five hundred forty".