Base | Representation |
---|---|
bin | 11111001010000101111… |
… | …110110000010000000000 |
3 | 21120200122211112122120001 |
4 | 133022011332300100000 |
5 | 240040024213034241 |
6 | 4315343221525344 |
7 | 310456324513654 |
oct | 37120576602000 |
9 | 7520584478501 |
10 | 2141141533696 |
11 | 756064638100 |
12 | 2a6b73b73854 |
13 | 126ba7789999 |
14 | 758bb94ca64 |
15 | 3aa6903b431 |
hex | 1f285fb0400 |
2141141533696 has 99 divisors (see below), whose sum is σ = 4705805990557. Its totient is φ = 973012029440.
The previous prime is 2141141533651. The next prime is 2141141533697. The reversal of 2141141533696 is 6963351411412.
It is a happy number.
The square root of 2141141533696 is 1463264.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 974879769600 + 1166261764096 = 987360^2 + 1079936^2 .
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (2141141533697) 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 8 ways as a sum of consecutive naturals, for example, 515066850 + ... + 515071006.
Almost surely, 22141141533696 is an apocalyptic number.
2141141533696 is the 1463264-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2141141533696
2141141533696 is an abundant number, since it is smaller than the sum of its proper divisors (2564664456861).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2141141533696 is an frugal number, since it uses more digits than its factorization.
2141141533696 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8356 (or 4170 counting only the distinct ones).
The product of its digits is 466560, while the sum is 46.
The spelling of 2141141533696 in words is "two trillion, one hundred forty-one billion, one hundred forty-one million, five hundred thirty-three thousand, six hundred ninety-six".
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