| Base | Representation |
|---|---|
| bin | 1001001110100011101000… |
| … | …1101011110001111110000 |
| 3 | 1022220220210112110202000000 |
| 4 | 2103220322031132033300 |
| 5 | 2312211332434112230 |
| 6 | 33324510525430000 |
| 7 | 2065000432452111 |
| oct | 223507215361760 |
| 9 | 38826715422000 |
| 10 | 10145689363440 |
| 11 | 326184316a114 |
| 12 | 117a376a0b300 |
| 13 | 587971632c57 |
| 14 | 2710a81c8208 |
| 15 | 128da538bb60 |
| hex | 93a3a35e3f0 |
10145689363440 has 1120 divisors, whose sum is σ = 37296237888000. Its totient is φ = 2562122078208.
The previous prime is 10145689363417. The next prime is 10145689363463. The reversal of 10145689363440 is 4436398654101.
It is a happy number.
10145689363440 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 56 + 8 + 93 + 63 + 440 = 666.
It is an interprime number because it is at equal distance from previous prime (10145689363417) and next prime (10145689363463).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 24214055551 + ... + 24214055969.
It is an arithmetic number, because the mean of its divisors is an integer number (33300212400).
Almost surely, 210145689363440 is an apocalyptic number.
10145689363440 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 10145689363440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18648118944000).
10145689363440 is an abundant number, since it is smaller than the sum of its proper divisors (27150548524560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10145689363440 is a wasteful number, since it uses less digits than its factorization.
10145689363440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 721 (or 700 counting only the distinct ones).
The product of its (nonzero) digits is 7464960, while the sum is 54.
The spelling of 10145689363440 in words is "ten trillion, one hundred forty-five billion, six hundred eighty-nine million, three hundred sixty-three thousand, four hundred forty".
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