| Base | Representation |
|---|---|
| bin | 100001010000000110000001… |
| … | …011001001101111100101100 |
| 3 | 201011210112220102211210111100 |
| 4 | 201100012001121031330230 |
| 5 | 123132010104124124400 |
| 6 | 1235010231233323100 |
| 7 | 42542413001540412 |
| oct | 4120060131157454 |
| 9 | 634715812753440 |
| 10 | 146241512333100 |
| 11 | 4266274a2270a8 |
| 12 | 1449a702706490 |
| 13 | 637a691561972 |
| 14 | 28181ac55d2b2 |
| 15 | 11d9126064100 |
| hex | 85018164df2c |
146241512333100 has 432 divisors, whose sum is σ = 477920586124800. Its totient is φ = 37368080386560.
The previous prime is 146241512333089. The next prime is 146241512333101. The reversal of 146241512333100 is 1333215142641.
146241512333100 is a `hidden beast` number, since 1 + 4 + 6 + 2 + 4 + 1 + 512 + 3 + 33 + 100 = 666.
It is a super-2 number, since 2×1462415123331002 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (146241512333101) 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 143 ways as a sum of consecutive naturals, for example, 15526220191 + ... + 15526229609.
Almost surely, 2146241512333100 is an apocalyptic number.
146241512333100 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 146241512333100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238960293062400).
146241512333100 is an abundant number, since it is smaller than the sum of its proper divisors (331679073791700).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
146241512333100 is a wasteful number, since it uses less digits than its factorization.
146241512333100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 16502 (or 16492 counting only the distinct ones).
The product of its (nonzero) digits is 51840, while the sum is 36.
Adding to 146241512333100 its reverse (1333215142641), we get a palindrome (147574727475741).
The spelling of 146241512333100 in words is "one hundred forty-six trillion, two hundred forty-one billion, five hundred twelve million, three hundred thirty-three thousand, one hundred".
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