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141300433120 = 25571164317837
BaseRepresentation
bin1000001110011000101…
…0011000000011100000
3111111201110200201121211
42003212022120003200
54303340402324440
6144525034355504
713131361602340
oct2034612300340
9444643621554
10141300433120
1154a1a457860
122347528bb94
131042b11c152
146ba6222d20
153a1ee99eea
hex20e62980e0

141300433120 has 192 divisors, whose sum is σ = 416864641536. Its totient is φ = 43970734080.

The previous prime is 141300433117. The next prime is 141300433133. The reversal of 141300433120 is 21334003141.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 141300433091 and 141300433100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7912842 + ... + 7930678.

It is an arithmetic number, because the mean of its divisors is an integer number (2171170008).

Almost surely, 2141300433120 is an apocalyptic number.

141300433120 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 141300433120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208432320768).

141300433120 is an abundant number, since it is smaller than the sum of its proper divisors (275564208416).

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

141300433120 is a wasteful number, since it uses less digits than its factorization.

141300433120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18513 (or 18505 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 141300433120 its reverse (21334003141), we get a palindrome (162634436261).

The spelling of 141300433120 in words is "one hundred forty-one billion, three hundred million, four hundred thirty-three thousand, one hundred twenty".