| Base | Representation |
|---|---|
| bin | 100001111110100011011110… |
| … | …110010011001101100000000 |
| 3 | 201121002202220010001201202000 |
| 4 | 201332203132302121230000 |
| 5 | 124041312310404314200 |
| 6 | 1245453050410024000 |
| 7 | 43322160525325566 |
| oct | 4176433662315400 |
| 9 | 647082803051660 |
| 10 | 149434239916800 |
| 11 | 43683783765a73 |
| 12 | 14915434718000 |
| 13 | 654c785817207 |
| 14 | 28c8927747a36 |
| 15 | 12421da552300 |
| hex | 87e8dec99b00 |
149434239916800 has 864 divisors, whose sum is σ = 557976287232000. Its totient is φ = 39127219568640.
The previous prime is 149434239916789. The next prime is 149434239916811. The reversal of 149434239916800 is 8619932434941.
149434239916800 is a `hidden beast` number, since 1 + 4 + 9 + 43 + 42 + 399 + 168 + 0 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (149434239916789) and next prime (149434239916811).
It is a tau number, because it is divible by the number of its divisors (864).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2128688101 + ... + 2128758299.
It is an arithmetic number, because the mean of its divisors is an integer number (645805888000).
Almost surely, 2149434239916800 is an apocalyptic number.
149434239916800 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 149434239916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278988143616000).
149434239916800 is an abundant number, since it is smaller than the sum of its proper divisors (408542047315200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
149434239916800 is a wasteful number, since it uses less digits than its factorization.
149434239916800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 70458 (or 70433 counting only the distinct ones).
The product of its (nonzero) digits is 40310784, while the sum is 63.
The spelling of 149434239916800 in words is "one hundred forty-nine trillion, four hundred thirty-four billion, two hundred thirty-nine million, nine hundred sixteen thousand, eight hundred".
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