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141632041440 = 25351013378669
BaseRepresentation
bin1000001111100111101…
…1010111000111100000
3111112120120200011201110
42003321323113013200
54310030300311230
6145022002103320
713142526326421
oct2037173270740
9445516604643
10141632041440
115507a66001a
122354834ab40
1310481a35ca6
146bd82a3648
153a3e14e4b0
hex20f9ed71e0

141632041440 has 192 divisors, whose sum is σ = 451947263040. Its totient is φ = 37279334400.

The previous prime is 141632041433. The next prime is 141632041553. The reversal of 141632041440 is 44140236141.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 141632041398 and 141632041407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16333426 + ... + 16342094.

It is an arithmetic number, because the mean of its divisors is an integer number (2353891995).

Almost surely, 2141632041440 is an apocalyptic number.

141632041440 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 141632041440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225973631520).

141632041440 is an abundant number, since it is smaller than the sum of its proper divisors (310315221600).

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

141632041440 is a wasteful number, since it uses less digits than its factorization.

141632041440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9125 (or 9117 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 141632041440 its reverse (44140236141), we get a palindrome (185772277581).

The spelling of 141632041440 in words is "one hundred forty-one billion, six hundred thirty-two million, forty-one thousand, four hundred forty".