| Base | Representation |
|---|---|
| bin | 1000001101110011101… |
| … | …1101010110111000000 |
| 3 | 111111022200022112020200 |
| 4 | 2003130323222313000 |
| 5 | 4303031232124130 |
| 6 | 144501423405200 |
| 7 | 13124501442360 |
| oct | 2033473526700 |
| 9 | 444280275220 |
| 10 | 141145583040 |
| 11 | 54950002690 |
| 12 | 23431453800 |
| 13 | 10405012797 |
| 14 | 6b8d8349a0 |
| 15 | 3a115ad760 |
| hex | 20dceeadc0 |
141145583040 has 672 divisors, whose sum is σ = 631615435776. Its totient is φ = 28052766720.
The previous prime is 141145583039. The next prime is 141145583041. The reversal of 141145583040 is 40385541141.
141145583040 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (141145583039) and next prime (141145583041).
It is a tau number, because it is divible by the number of its divisors (672).
It is a super-2 number, since 2×1411455830402 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 141145582986 and 141145583004.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (141145583041) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5086644 + ... + 5114316.
Almost surely, 2141145583040 is an apocalyptic number.
141145583040 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 141145583040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315807717888).
141145583040 is an abundant number, since it is smaller than the sum of its proper divisors (490469852736).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
141145583040 is a wasteful number, since it uses less digits than its factorization.
141145583040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 27737 (or 27724 counting only the distinct ones).
The product of its (nonzero) digits is 38400, while the sum is 36.
The spelling of 141145583040 in words is "one hundred forty-one billion, one hundred forty-five million, five hundred eighty-three thousand, forty".
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