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141354514131040 = 2557232594043747
BaseRepresentation
bin100000001000111110101001…
…100110100010100001100000
3200112111100201010112210002201
4200020332221212202201200
5122011423021104143130
61220345211201422544
741526345430320220
oct4010765146424140
9615440633483081
10141354514131040
11410491271389a1
1213a2b55093aa54
1360b489a85b2c2
1426c9848910080
151151e4e236bca
hex808fa99a2860

141354514131040 has 288 divisors, whose sum is σ = 405734793327360. Its totient is φ = 45571529321472.

The previous prime is 141354514131011. The next prime is 141354514131049. The reversal of 141354514131040 is 40131415453141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141354514131049) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32934447 + ... + 36978193.

It is an arithmetic number, because the mean of its divisors is an integer number (1408801365720).

Almost surely, 2141354514131040 is an apocalyptic number.

141354514131040 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 141354514131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202867396663680).

141354514131040 is an abundant number, since it is smaller than the sum of its proper divisors (264380279196320).

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

141354514131040 is a wasteful number, since it uses less digits than its factorization.

141354514131040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4043874 (or 4043843 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

Adding to 141354514131040 its reverse (40131415453141), we get a palindrome (181485929584181).

The spelling of 141354514131040 in words is "one hundred forty-one trillion, three hundred fifty-four billion, five hundred fourteen million, one hundred thirty-one thousand, forty".