Base | Representation |
---|---|
bin | 1011000010101101000001… |
… | …1001000000110111000000 |
3 | 1120222200020022022111111000 |
4 | 2300223100121000313000 |
5 | 3042404404342442134 |
6 | 41453310551052000 |
7 | 2362110061341000 |
oct | 260532031006700 |
9 | 46880208274430 |
10 | 12141073796544 |
11 | 3961000706200 |
12 | 1441031071000 |
13 | 6a0b8a889644 |
14 | 2dd8b9a88000 |
15 | 160c3d04de99 |
hex | b0ad0640dc0 |
12141073796544 has 2688 divisors, whose sum is σ = 48706617344000. Its totient is φ = 2957355878400.
The previous prime is 12141073796543. The next prime is 12141073796597. The reversal of 12141073796544 is 44569737014121.
12141073796544 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 1 + 0 + 7 + 3 + 7 + 96 + 544 = 666.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12141073796543) by changing a digit.
It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 95599006209 + ... + 95599006335.
Almost surely, 212141073796544 is an apocalyptic number.
12141073796544 is a gapful number since it is divisible by the number (14) 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 12141073796544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24353308672000).
12141073796544 is an abundant number, since it is smaller than the sum of its proper divisors (36565543547456).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12141073796544 is a wasteful number, since it uses less digits than its factorization.
12141073796544 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 265 (or 224 counting only the distinct ones).
The product of its (nonzero) digits is 5080320, while the sum is 54.
The spelling of 12141073796544 in words is "twelve trillion, one hundred forty-one billion, seventy-three million, seven hundred ninety-six thousand, five hundred forty-four".
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