| Base | Representation |
|---|---|
| bin | 110001101011110110000… |
| … | …011110001111010100000 |
| 3 | 110002101222200102210212100 |
| 4 | 301223312003301322200 |
| 5 | 421420023022002130 |
| 6 | 11132304512530400 |
| 7 | 501451223003211 |
| oct | 61536603617240 |
| 9 | 13071880383770 |
| 10 | 3414332219040 |
| 11 | 10a70125873a6 |
| 12 | 471878b50a00 |
| 13 | 1b9c7c548c12 |
| 14 | bb37c731408 |
| 15 | 5dc344e5c60 |
| hex | 31af60f1ea0 |
3414332219040 has 576 divisors, whose sum is σ = 12219962227200. Its totient is φ = 866981068800.
The previous prime is 3414332219033. The next prime is 3414332219083. The reversal of 3414332219040 is 409122334143.
3414332219040 is a `hidden beast` number, since 3 + 4 + 1 + 433 + 2 + 219 + 0 + 4 + 0 = 666.
3414332219040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×34143322190402 (a number of 26 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 3414332218986 and 3414332219004.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1824869305 + ... + 1824871175.
It is an arithmetic number, because the mean of its divisors is an integer number (21215212200).
Almost surely, 23414332219040 is an apocalyptic number.
3414332219040 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 3414332219040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6109981113600).
3414332219040 is an abundant number, since it is smaller than the sum of its proper divisors (8805630008160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3414332219040 is a wasteful number, since it uses less digits than its factorization.
3414332219040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2501 (or 2490 counting only the distinct ones).
The product of its (nonzero) digits is 62208, while the sum is 36.
The spelling of 3414332219040 in words is "three trillion, four hundred fourteen billion, three hundred thirty-two million, two hundred nineteen thousand, forty".
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