Base | Representation |
---|---|
bin | 100110110110110010101001… |
… | …0101100111110100000000000 |
3 | 1122211011001002020022211210000 |
4 | 1031231211102230332200000 |
5 | 324244224014002121330 |
6 | 3210524252213440000 |
7 | 131663635402112220 |
oct | 11555452254764000 |
9 | 1584131066284700 |
10 | 341782000035840 |
11 | 999a1a28866741 |
12 | 323bb784340000 |
13 | 11892b9a9c75c0 |
14 | 60584a0ca2080 |
15 | 297a802c36560 |
hex | 136d952b3e800 |
341782000035840 has 7680 divisors, whose sum is σ = 1716348761487360. Its totient is φ = 62963079708672.
The previous prime is 341782000035829. The next prime is 341782000035851. The reversal of 341782000035840 is 48530000287143.
341782000035840 is a `hidden beast` number, since 3 + 41 + 7 + 8 + 20 + 0 + 0 + 0 + 3 + 584 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (341782000035829) and next prime (341782000035851).
It is a tau number, because it is divible by the number of its divisors (7680).
It is a super-2 number, since 2×3417820000358402 (a number of 30 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is an unprimeable number.
It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 1091955271524 + ... + 1091955271836.
It is an arithmetic number, because the mean of its divisors is an integer number (223482911652).
Almost surely, 2341782000035840 is an apocalyptic number.
341782000035840 is a gapful number since it is divisible by the number (30) 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 341782000035840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858174380743680).
341782000035840 is an abundant number, since it is smaller than the sum of its proper divisors (1374566761451520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
341782000035840 is a wasteful number, since it uses less digits than its factorization.
341782000035840 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 449 (or 420 counting only the distinct ones).
The product of its (nonzero) digits is 645120, while the sum is 45.
The spelling of 341782000035840 in words is "three hundred forty-one trillion, seven hundred eighty-two billion, thirty-five thousand, eight hundred forty".
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