Base | Representation |
---|---|
bin | 100001110110100010111110… |
… | …010011110010000000000000 |
3 | 201112011011110201012010000000 |
4 | 201312202332103302000000 |
5 | 124003303301414030440 |
6 | 1244352200520000000 |
7 | 43234336543421100 |
oct | 4166427623620000 |
9 | 645134421163000 |
10 | 148883939205120 |
11 | 43491362315379 |
12 | 14846856000000 |
13 | 650c90653ca22 |
14 | 28aa041cb7200 |
15 | 1232c2d979730 |
hex | 8768be4f2000 |
148883939205120 has 2688 divisors, whose sum is σ = 631166959883520. Its totient is φ = 33606222741504.
The previous prime is 148883939205101. The next prime is 148883939205167. The reversal of 148883939205120 is 21502939388841.
148883939205120 is a `hidden beast` number, since 1 + 4 + 8 + 8 + 8 + 3 + 93 + 9 + 20 + 512 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (2688).
It is a Harshad number since it is a multiple of its sum of digits (63).
It is an unprimeable number.
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 191 ways as a sum of consecutive naturals, for example, 469665423202 + ... + 469665423518.
Almost surely, 2148883939205120 is an apocalyptic number.
148883939205120 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 148883939205120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315583479941760).
148883939205120 is an abundant number, since it is smaller than the sum of its proper divisors (482283020678400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
148883939205120 is an frugal number, since it uses more digits than its factorization.
148883939205120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 490 (or 441 counting only the distinct ones).
The product of its (nonzero) digits is 29859840, while the sum is 63.
The spelling of 148883939205120 in words is "one hundred forty-eight trillion, eight hundred eighty-three billion, nine hundred thirty-nine million, two hundred five thousand, one hundred twenty".
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