| Base | Representation |
|---|---|
| bin | 100001000110111110001011… |
| … | …010111011100100011110000 |
| 3 | 201002120121202211210221211110 |
| 4 | 201012332023113130203300 |
| 5 | 123041222212242244400 |
| 6 | 1233410232543313320 |
| 7 | 42446210614264011 |
| oct | 4106761327344360 |
| 9 | 632517684727743 |
| 10 | 145614614415600 |
| 11 | 424408a1744020 |
| 12 | 143b91078ab840 |
| 13 | 6333526116255 |
| 14 | 27d5adbc4b008 |
| 15 | 11c7b84ac7e50 |
| hex | 846f8b5dc8f0 |
145614614415600 has 480 divisors, whose sum is σ = 515067749982720. Its totient is φ = 34871247360000.
The previous prime is 145614614415581. The next prime is 145614614415601. The reversal of 145614614415600 is 6514416416541.
It is a happy number.
145614614415600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (48).
It is a self number, because there is not a number n which added to its sum of digits gives 145614614415600.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (145614614415601) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 585150402 + ... + 585399198.
It is an arithmetic number, because the mean of its divisors is an integer number (1073057812464).
Almost surely, 2145614614415600 is an apocalyptic number.
145614614415600 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 145614614415600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257533874991360).
145614614415600 is an abundant number, since it is smaller than the sum of its proper divisors (369453135567120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
145614614415600 is a wasteful number, since it uses less digits than its factorization.
145614614415600 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 249369 (or 249358 counting only the distinct ones).
The product of its (nonzero) digits is 1382400, while the sum is 48.
The spelling of 145614614415600 in words is "one hundred forty-five trillion, six hundred fourteen billion, six hundred fourteen million, four hundred fifteen thousand, six hundred".
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