| Base | Representation |
|---|---|
| bin | 100101111110111010000000… |
| … | …1110011101101001001000000 |
| 3 | 1121210221202200221201222102220 |
| 4 | 1023331310001303231021000 |
| 5 | 322242403320234220000 |
| 6 | 3142323554050211040 |
| 7 | 130242006134202600 |
| oct | 11375640163551100 |
| 9 | 1553852627658386 |
| 10 | 334101241320000 |
| 11 | 975005a47a6340 |
| 12 | 3157b085883a80 |
| 13 | 114567c537ccab |
| 14 | 5c7082cd8ac00 |
| 15 | 2895b177cb1a0 |
| hex | 12fdd01ced240 |
334101241320000 has 1680 divisors, whose sum is σ = 1405844093535552. Its totient is φ = 69222236160000.
The previous prime is 334101241319977. The next prime is 334101241320001. The reversal of 334101241320000 is 23142101433.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (1680).
It is a super-2 number, since 2×3341012413200002 (a number of 30 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is not an unprimeable number, because it can be changed into a prime (334101241320001) 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 239 ways as a sum of consecutive naturals, for example, 22832032684 + ... + 22832047316.
Almost surely, 2334101241320000 is an apocalyptic number.
334101241320000 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 334101241320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702922046767776).
334101241320000 is an abundant number, since it is smaller than the sum of its proper divisors (1071742852215552).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
334101241320000 is a wasteful number, since it uses less digits than its factorization.
334101241320000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15046 (or 15014 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 24.
Adding to 334101241320000 its reverse (23142101433), we get a palindrome (334124383421433).
The spelling of 334101241320000 in words is "three hundred thirty-four trillion, one hundred one billion, two hundred forty-one million, three hundred twenty thousand".
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