Base | Representation |
---|---|
bin | 1000101010110000000… |
… | …1010001110100000000 |
3 | 112020101010122221102200 |
4 | 2022230001101310000 |
5 | 4414434203414240 |
6 | 152224403113200 |
7 | 13521151542000 |
oct | 2125401216400 |
9 | 466333587380 |
10 | 148914904320 |
11 | 58177643766 |
12 | 24a3b372800 |
13 | 11072819700 |
14 | 72c9612000 |
15 | 3d186de930 |
hex | 22ac051d00 |
148914904320 has 1296 divisors, whose sum is σ = 653543654400. Its totient is φ = 31278514176.
The previous prime is 148914904297. The next prime is 148914904339. The reversal of 148914904320 is 23409419841.
148914904320 is a `hidden beast` number, since 1 + 48 + 91 + 4 + 90 + 432 + 0 = 666.
148914904320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×1489149043203 (a number of 34 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 667779729 + ... + 667779951.
Almost surely, 2148914904320 is an apocalyptic number.
148914904320 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 148914904320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326771827200).
148914904320 is an abundant number, since it is smaller than the sum of its proper divisors (504628750080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
148914904320 is a wasteful number, since it uses less digits than its factorization.
148914904320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 297 (or 253 counting only the distinct ones).
The product of its (nonzero) digits is 248832, while the sum is 45.
The spelling of 148914904320 in words is "one hundred forty-eight billion, nine hundred fourteen million, nine hundred four thousand, three hundred twenty".
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