Base | Representation |
---|---|
bin | 1001001110001110100110… |
… | …1100110011100101110100 |
3 | 1022220101020002002001201102 |
4 | 2103203221230303211310 |
5 | 2312113302133434130 |
6 | 33322134410345232 |
7 | 2064410506645241 |
oct | 223435154634564 |
9 | 38811202061642 |
10 | 10140043655540 |
11 | 325a406325217 |
12 | 117926012b218 |
13 | 587281a93ba6 |
14 | 270ad04825c8 |
15 | 128b748d9645 |
hex | 938e9b33974 |
10140043655540 has 96 divisors (see below), whose sum is σ = 22015244246688. Its totient is φ = 3920652288000.
The previous prime is 10140043655449. The next prime is 10140043655543. The reversal of 10140043655540 is 4555634004101.
It can be written as a sum of positive squares in 16 ways, for example, as 40524910864 + 10099518744676 = 201308^2 + 3177974^2 .
It is a junction number, because it is equal to n+sod(n) for n = 10140043655494 and 10140043655503.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10140043655543) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38800910 + ... + 39061370.
It is an arithmetic number, because the mean of its divisors is an integer number (229325460903).
Almost surely, 210140043655540 is an apocalyptic number.
10140043655540 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 10140043655540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11007622123344).
10140043655540 is an abundant number, since it is smaller than the sum of its proper divisors (11875200591148).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10140043655540 is a wasteful number, since it uses less digits than its factorization.
10140043655540 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 260949 (or 260947 counting only the distinct ones).
The product of its (nonzero) digits is 144000, while the sum is 38.
Adding to 10140043655540 its reverse (4555634004101), we get a palindrome (14695677659641).
The spelling of 10140043655540 in words is "ten trillion, one hundred forty billion, forty-three million, six hundred fifty-five thousand, five hundred forty".
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