| Base | Representation |
|---|---|
| bin | 10000001101100111010… |
| … | …010011001011000000000 |
| 3 | 10221111202121000221012100 |
| 4 | 100031213102121120000 |
| 5 | 121223214111433230 |
| 6 | 2211453551430400 |
| 7 | 143331110456262 |
| oct | 20154722313000 |
| 9 | 3844677027170 |
| 10 | 1114129405440 |
| 11 | 39a555005477 |
| 12 | 15bb13825400 |
| 13 | 810a61550cc |
| 14 | 3bcd1c27b32 |
| 15 | 1deab146660 |
| hex | 10367499600 |
1114129405440 has 1440 divisors, whose sum is σ = 4377818016000. Its totient is φ = 261227151360.
The previous prime is 1114129405397. The next prime is 1114129405483. The reversal of 1114129405440 is 445049214111.
1114129405440 is a `hidden beast` number, since 1 + 1 + 14 + 12 + 94 + 0 + 544 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (1114129405397) and next prime (1114129405483).
It is a tau number, because it is divible by the number of its divisors (1440).
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 = 1114129405395 and 1114129405404.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7477378486 + ... + 7477378634.
It is an arithmetic number, because the mean of its divisors is an integer number (3040151400).
Almost surely, 21114129405440 is an apocalyptic number.
1114129405440 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 1114129405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2188909008000).
1114129405440 is an abundant number, since it is smaller than the sum of its proper divisors (3263688610560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1114129405440 is a wasteful number, since it uses less digits than its factorization.
1114129405440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 276 (or 238 counting only the distinct ones).
The product of its (nonzero) digits is 23040, while the sum is 36.
The spelling of 1114129405440 in words is "one trillion, one hundred fourteen billion, one hundred twenty-nine million, four hundred five thousand, four hundred forty".
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