| Base | Representation |
|---|---|
| bin | 10100001110111000111… |
| … | …110100000100000000000 |
| 3 | 11220220210211011221020000 |
| 4 | 110032320332200200000 |
| 5 | 140234443211033100 |
| 6 | 2542421502120000 |
| 7 | 202310600363316 |
| oct | 24167076404000 |
| 9 | 4826724157200 |
| 10 | 1390377830400 |
| 11 | 496724046909 |
| 12 | 1a556a880000 |
| 13 | a115c2981b0 |
| 14 | 4b41a71a0b6 |
| 15 | 26278536900 |
| hex | 143b8fa0800 |
1390377830400 has 2880 divisors, whose sum is σ = 6177807876240. Its totient is φ = 305764761600.
The previous prime is 1390377830381. The next prime is 1390377830419. The reversal of 1390377830400 is 40387730931.
1390377830400 is a `hidden beast` number, since 13 + 90 + 3 + 77 + 83 + 0 + 400 = 666.
It is an interprime number because it is at equal distance from previous prime (1390377830381) and next prime (1390377830419).
It can be written as a sum of positive squares in 24 ways, for example, as 81129268224 + 1309248562176 = 284832^2 + 1144224^2 .
It is a tau number, because it is divible by the number of its divisors (2880).
It is a super-2 number, since 2×13903778304002 (a number of 25 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is an unprimeable number.
It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 33911654380 + ... + 33911654420.
Almost surely, 21390377830400 is an apocalyptic number.
1390377830400 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 1390377830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3088903938120).
1390377830400 is an abundant number, since it is smaller than the sum of its proper divisors (4787430045840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1390377830400 is a wasteful number, since it uses less digits than its factorization.
1390377830400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 152 (or 118 counting only the distinct ones).
The product of its (nonzero) digits is 381024, while the sum is 45.
The spelling of 1390377830400 in words is "one trillion, three hundred ninety billion, three hundred seventy-seven million, eight hundred thirty thousand, four hundred".
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