| Base | Representation |
|---|---|
| bin | 100010001011001100… |
| … | …1001011000000000000 |
| 3 | 21000102200111110122200 |
| 4 | 1010112121023000000 |
| 5 | 2200300334011230 |
| 6 | 53414233233200 |
| 7 | 5205450623640 |
| oct | 1042631130000 |
| 9 | 230380443580 |
| 10 | 73390141440 |
| 11 | 29140904560 |
| 12 | 12282262800 |
| 13 | 6bc78cb0c5 |
| 14 | 37a2d78520 |
| 15 | 1d9806c160 |
| hex | 111664b000 |
73390141440 has 624 divisors, whose sum is σ = 317220523776. Its totient is φ = 15246950400.
The previous prime is 73390141439. The next prime is 73390141441. The reversal of 73390141440 is 4414109337.
73390141440 is a `hidden beast` number, since 73 + 3 + 9 + 0 + 141 + 440 = 666.
It is an interprime number because it is at equal distance from previous prime (73390141439) and next prime (73390141441).
It is a super-2 number, since 2×733901414402 (a number of 23 digits) contains 22 as substring.
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 = 73390141395 and 73390141404.
It is not an unprimeable number, because it can be changed into a prime (73390141441) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14190055 + ... + 14195225.
It is an arithmetic number, because the mean of its divisors is an integer number (508366224).
Almost surely, 273390141440 is an apocalyptic number.
73390141440 is a gapful number since it is divisible by the number (70) 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 73390141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158610261888).
73390141440 is an abundant number, since it is smaller than the sum of its proper divisors (243830382336).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
73390141440 is a wasteful number, since it uses less digits than its factorization.
73390141440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5224 (or 5199 counting only the distinct ones).
The product of its (nonzero) digits is 36288, while the sum is 36.
The spelling of 73390141440 in words is "seventy-three billion, three hundred ninety million, one hundred forty-one thousand, four hundred forty".
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