Base | Representation |
---|---|
bin | 1000101000001011111… |
… | …1011000000111100100 |
3 | 112011121011101102010000 |
4 | 2022002333120013210 |
5 | 4412031443240004 |
6 | 152032213101300 |
7 | 13465122541644 |
oct | 2120277300744 |
9 | 464534342100 |
10 | 148226540004 |
11 | 57954021434 |
12 | 24888927830 |
13 | 10c9302254a |
14 | 7262026524 |
15 | 3cc8069c39 |
hex | 2282fd81e4 |
148226540004 has 135 divisors (see below), whose sum is σ = 394219742763. Its totient is φ = 48565692288.
The previous prime is 148226539921. The next prime is 148226540009. The reversal of 148226540004 is 400045622841.
The square root of 148226540004 is 385002.
It is a perfect power (a square), and thus also a powerful number.
148226540004 is a `hidden beast` number, since 14 + 82 + 26 + 540 + 0 + 0 + 4 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 49906666404 + 98319873600 = 223398^2 + 313560^2 .
It is a super-2 number, since 2×1482265400042 (a number of 23 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 (148226540009) by changing a digit.
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 44 ways as a sum of consecutive naturals, for example, 505892482 + ... + 505892774.
Almost surely, 2148226540004 is an apocalyptic number.
148226540004 is the 385002-nd square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 148226540004
148226540004 is an abundant number, since it is smaller than the sum of its proper divisors (245993202759).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
148226540004 is an frugal number, since it uses more digits than its factorization.
148226540004 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 748 (or 371 counting only the distinct ones).
The product of its (nonzero) digits is 61440, while the sum is 36.
Multiplying 148226540004 by its sum of digits (36), we get a square (5336155440144 = 23100122).
148226540004 divided by its sum of digits (36) gives a square (4117403889 = 641672).
The spelling of 148226540004 in words is "one hundred forty-eight billion, two hundred twenty-six million, five hundred forty thousand, four".
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