Base | Representation |
---|---|
bin | 100010000101011110000… |
… | …101000010001001100000 |
3 | 22021220222101120212012000 |
4 | 202011132011002021200 |
5 | 301334100400213034 |
6 | 4552015404004000 |
7 | 331141154463105 |
oct | 42053605021140 |
9 | 8256871525160 |
10 | 2342335554144 |
11 | 8234193a0563 |
12 | 319b63530600 |
13 | 13cb5c288721 |
14 | 81526444aac |
15 | 40de2219599 |
hex | 2215e142260 |
2342335554144 has 192 divisors, whose sum is σ = 7057818593280. Its totient is φ = 754989396480.
The previous prime is 2342335554121. The next prime is 2342335554161. The reversal of 2342335554144 is 4414555332432.
2342335554144 is a `hidden beast` number, since 2 + 3 + 4 + 23 + 35 + 554 + 1 + 44 = 666.
It is a self number, because there is not a number n which added to its sum of digits gives 2342335554144.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34168927 + ... + 34237409.
It is an arithmetic number, because the mean of its divisors is an integer number (36759471840).
Almost surely, 22342335554144 is an apocalyptic number.
2342335554144 is a gapful number since it is divisible by the number (24) 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 2342335554144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3528909296640).
2342335554144 is an abundant number, since it is smaller than the sum of its proper divisors (4715483039136).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2342335554144 is a wasteful number, since it uses less digits than its factorization.
2342335554144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 69810 (or 69796 counting only the distinct ones).
The product of its digits is 3456000, while the sum is 45.
The spelling of 2342335554144 in words is "two trillion, three hundred forty-two billion, three hundred thirty-five million, five hundred fifty-four thousand, one hundred forty-four".
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