| Base | Representation |
|---|---|
| bin | 10011101101111100100… |
| … | …110000101000001000000 |
| 3 | 11210112111122001202121220 |
| 4 | 103231330212011001000 |
| 5 | 134200022243230130 |
| 6 | 2514251500515040 |
| 7 | 166616200634340 |
| oct | 23557446050100 |
| 9 | 4715448052556 |
| 10 | 1355005055040 |
| 11 | 48272203516a |
| 12 | 19a73854ba80 |
| 13 | 9aa12a758a0 |
| 14 | 498228d4d20 |
| 15 | 253a7dbe410 |
| hex | 13b7c985040 |
1355005055040 has 448 divisors, whose sum is σ = 5369544069120. Its totient is φ = 281863249920.
The previous prime is 1355005055023. The next prime is 1355005055057. The reversal of 1355005055040 is 405505005531.
It is an interprime number because it is at equal distance from previous prime (1355005055023) and next prime (1355005055057).
It is a tau number, because it is divible by the number of its divisors (448).
It is a super-3 number, since 3×13550050550403 (a number of 37 digits) contains 333 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 1355005054992 and 1355005055010.
It is an unprimeable number.
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 63 ways as a sum of consecutive naturals, for example, 6093331 + ... + 6311789.
It is an arithmetic number, because the mean of its divisors is an integer number (11985589440).
Almost surely, 21355005055040 is an apocalyptic number.
1355005055040 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 1355005055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2684772034560).
1355005055040 is an abundant number, since it is smaller than the sum of its proper divisors (4014539014080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1355005055040 is a wasteful number, since it uses less digits than its factorization.
1355005055040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 218570 (or 218560 counting only the distinct ones).
The product of its (nonzero) digits is 37500, while the sum is 33.
The spelling of 1355005055040 in words is "one trillion, three hundred fifty-five billion, five million, fifty-five thousand, forty".
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