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141444443515032 = 233271914839960029
BaseRepresentation
bin100000001010010010011001…
…110011111010100010011000
3200112210221211110112211021100
4200022102121303322202120
5122014411210014440112
61220454402540311400
741536011111423210
oct4012223163724230
9615727743484240
10141444443515032
1141083284a08149
1213a44a69b42560
1360c01ccb57558
1426cdd3a2a9240
1511544642b52dc
hex80a499cfa898

141444443515032 has 192 divisors, whose sum is σ = 461157357024000. Its totient is φ = 38259893797632.

The previous prime is 141444443515021. The next prime is 141444443515061. The reversal of 141444443515032 is 230515344444141.

141444443515032 is a `hidden beast` number, since 1 + 4 + 14 + 4 + 44 + 43 + 51 + 503 + 2 = 666.

It is a super-2 number, since 2×1414444435150322 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9221194 + ... + 19181222.

It is an arithmetic number, because the mean of its divisors is an integer number (2401861234500).

Almost surely, 2141444443515032 is an apocalyptic number.

141444443515032 is a gapful number since it is divisible by the number (12) 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 141444443515032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230578678512000).

141444443515032 is an abundant number, since it is smaller than the sum of its proper divisors (319712913508968).

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

141444443515032 is a wasteful number, since it uses less digits than its factorization.

141444443515032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9961550 (or 9961543 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

Adding to 141444443515032 its reverse (230515344444141), we get a palindrome (371959787959173).

The spelling of 141444443515032 in words is "one hundred forty-one trillion, four hundred forty-four billion, four hundred forty-three million, five hundred fifteen thousand, thirty-two".