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131332340040 = 2335112531571087
BaseRepresentation
bin111101001010000000…
…1000111100101001000
3110112222202222010120020
41322110001013211020
54122432034340130
6140155551500440
712326352320436
oct1722401074510
9415882863506
10131332340040
1150774755a00
1221552b27720
13c4ccc23915
1464dc407d56
153639ce0e10
hex1e94047948

131332340040 has 384 divisors, whose sum is σ = 444461230080. Its totient is φ = 31009904640.

The previous prime is 131332340033. The next prime is 131332340047. The reversal of 131332340040 is 40043233131.

It is an interprime number because it is at equal distance from previous prime (131332340033) and next prime (131332340047).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (131332340047) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 120820377 + ... + 120821463.

It is an arithmetic number, because the mean of its divisors is an integer number (1157451120).

Almost surely, 2131332340040 is an apocalyptic number.

131332340040 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 131332340040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222230615040).

131332340040 is an abundant number, since it is smaller than the sum of its proper divisors (313128890040).

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

131332340040 is a wasteful number, since it uses less digits than its factorization.

131332340040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 131332340040 its reverse (40043233131), we get a palindrome (171375573171).

The spelling of 131332340040 in words is "one hundred thirty-one billion, three hundred thirty-two million, three hundred forty thousand, forty".