Base | Representation |
---|---|
bin | 100010000001101111100101… |
… | …100011100100001000000000 |
3 | 201121212201120112101220200000 |
4 | 202001233211203210020000 |
5 | 124103410124040100000 |
6 | 1250141453230400000 |
7 | 43344046453154202 |
oct | 4201574543441000 |
9 | 647781515356600 |
10 | 149653396800000 |
11 | 43758716046045 |
12 | 1494b9b7960000 |
13 | 6567340942a22 |
14 | 28d5397b60772 |
15 | 1247c65700000 |
hex | 881be58e4200 |
149653396800000 has 2880 divisors, whose sum is σ = 586308734339328. Its totient is φ = 38071296000000.
The previous prime is 149653396799993. The next prime is 149653396800013. The reversal of 149653396800000 is 8693356941.
149653396800000 is a `hidden beast` number, since 1 + 49 + 6 + 533 + 9 + 68 + 0 + 0 + 0 + 0 + 0 = 666.
149653396800000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (2880).
It is a super-2 number, since 2×1496533968000002 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a self number, because there is not a number n which added to its sum of digits gives 149653396800000.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1452945599949 + ... + 1452945600051.
Almost surely, 2149653396800000 is an apocalyptic number.
149653396800000 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 149653396800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293154367169664).
149653396800000 is an abundant number, since it is smaller than the sum of its proper divisors (436655337539328).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
149653396800000 is an frugal number, since it uses more digits than its factorization.
149653396800000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 299 (or 251 counting only the distinct ones).
The product of its (nonzero) digits is 4199040, while the sum is 54.
The spelling of 149653396800000 in words is "one hundred forty-nine trillion, six hundred fifty-three billion, three hundred ninety-six million, eight hundred thousand".
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