Base | Representation |
---|---|
bin | 1000010100101000100… |
… | …0100000110000000000 |
3 | 111200001100200222122220 |
4 | 2011022020200300000 |
5 | 4320304240303143 |
6 | 145403311331040 |
7 | 13221056052300 |
oct | 2051210406000 |
9 | 450040628586 |
10 | 142977666048 |
11 | 5570018a778 |
12 | 23862b20a80 |
13 | 10637756979 |
14 | 6cc4c9d600 |
15 | 3abc352d83 |
hex | 214a220c00 |
142977666048 has 528 divisors, whose sum is σ = 477842509440. Its totient is φ = 37756207104.
The previous prime is 142977666037. The next prime is 142977666059. The reversal of 142977666048 is 840666779241.
It is an interprime number because it is at equal distance from previous prime (142977666037) and next prime (142977666059).
It is a super-2 number, since 2×1429776660482 (a number of 23 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 142977665982 and 142977666000.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150979111 + ... + 150980057.
Almost surely, 2142977666048 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 142977666048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238921254720).
142977666048 is an abundant number, since it is smaller than the sum of its proper divisors (334864843392).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
142977666048 is a wasteful number, since it uses less digits than its factorization.
142977666048 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1060 (or 1035 counting only the distinct ones).
The product of its (nonzero) digits is 24385536, while the sum is 60.
The spelling of 142977666048 in words is "one hundred forty-two billion, nine hundred seventy-seven million, six hundred sixty-six thousand, forty-eight".
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