Base | Representation |
---|---|
bin | 100000001110010010000… |
… | …101110000001001000000 |
3 | 21211200122111101100222000 |
4 | 200032102011300021000 |
5 | 242240001414421010 |
6 | 4413132413144000 |
7 | 315660612056520 |
oct | 40162205601100 |
9 | 7750574340860 |
10 | 2214359138880 |
11 | 784117007609 |
12 | 2b91a848b000 |
13 | 130a756c8215 |
14 | 79265a13680 |
15 | 3c901d767c0 |
hex | 20392170240 |
2214359138880 has 896 divisors, whose sum is σ = 9160128552960. Its totient is φ = 493029089280.
The previous prime is 2214359138819. The next prime is 2214359138891. The reversal of 2214359138880 is 888319534122.
2214359138880 is a `hidden beast` number, since 2 + 2 + 1 + 43 + 591 + 3 + 8 + 8 + 8 + 0 = 666.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is an unprimeable number.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1198894117 + ... + 1198895963.
It is an arithmetic number, because the mean of its divisors is an integer number (10223357760).
Almost surely, 22214359138880 is an apocalyptic number.
2214359138880 is a gapful number since it is divisible by the number (20) 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 2214359138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4580064276480).
2214359138880 is an abundant number, since it is smaller than the sum of its proper divisors (6945769414080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2214359138880 is a wasteful number, since it uses less digits than its factorization.
2214359138880 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2384 (or 2368 counting only the distinct ones).
The product of its (nonzero) digits is 3317760, while the sum is 54.
The spelling of 2214359138880 in words is "two trillion, two hundred fourteen billion, three hundred fifty-nine million, one hundred thirty-eight thousand, eight hundred eighty".
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