| Base | Representation |
|---|---|
| bin | 10011101110011101010… |
| … | …001001111000000000000 |
| 3 | 11210120220211120101201000 |
| 4 | 103232131101033000000 |
| 5 | 134202133112122130 |
| 6 | 2514422122212000 |
| 7 | 166635605263410 |
| oct | 23563521170000 |
| 9 | 4716824511630 |
| 10 | 1355553239040 |
| 11 | 4829835119a0 |
| 12 | 19a870054000 |
| 13 | 9aa9c4cb610 |
| 14 | 49875630640 |
| 15 | 253db0a4260 |
| hex | 13b9d44f000 |
1355553239040 has 3328 divisors, whose sum is σ = 6763747737600. Its totient is φ = 248433868800.
The previous prime is 1355553239039. The next prime is 1355553239041. The reversal of 1355553239040 is 409323555531.
1355553239040 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 553 + 2 + 3 + 90 + 4 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (1355553239039) and next prime (1355553239041).
It is a tau number, because it is divible by the number of its divisors (3328).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1355553239041) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 17158901721 + ... + 17158901799.
Almost surely, 21355553239040 is an apocalyptic number.
1355553239040 is a gapful number since it is divisible by the number (10) 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 1355553239040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3381873868800).
1355553239040 is an abundant number, since it is smaller than the sum of its proper divisors (5408194498560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1355553239040 is a wasteful number, since it uses less digits than its factorization.
1355553239040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 179 (or 151 counting only the distinct ones).
The product of its (nonzero) digits is 1215000, while the sum is 45.
The spelling of 1355553239040 in words is "one trillion, three hundred fifty-five billion, five hundred fifty-three million, two hundred thirty-nine thousand, forty".
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