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131402241040 = 24572937379577
BaseRepresentation
bin111101001100000101…
…1110001010000010000
3110120011122111110201011
41322120023301100100
54123102433203130
6140210530020304
712331161422440
oct1723013612020
9416148443634
10131402241040
1150800159624
1221572417694
13c511559365
146507802120
153640eec52a
hex1e982f1410

131402241040 has 320 divisors, whose sum is σ = 372579724800. Its totient is φ = 42138206208.

The previous prime is 131402241029. The next prime is 131402241097. The reversal of 131402241040 is 40142204131.

It is a happy 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, 227733232 + ... + 227733808.

It is an arithmetic number, because the mean of its divisors is an integer number (1164311640).

Almost surely, 2131402241040 is an apocalyptic number.

131402241040 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 131402241040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186289862400).

131402241040 is an abundant number, since it is smaller than the sum of its proper divisors (241177483760).

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

131402241040 is a wasteful number, since it uses less digits than its factorization.

131402241040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 131402241040 its reverse (40142204131), we get a palindrome (171544445171).

The spelling of 131402241040 in words is "one hundred thirty-one billion, four hundred two million, two hundred forty-one thousand, forty".