Base | Representation |
---|---|
bin | 110000001010110011… |
… | …1111001111001000000 |
3 | 100220000001100221000000 |
4 | 1200111213321321000 |
5 | 3143322122404001 |
6 | 115304241000000 |
7 | 10321250320164 |
oct | 1402547717100 |
9 | 326001327000 |
10 | 103441997376 |
11 | 3a962346733 |
12 | 1806a623000 |
13 | 99a694b293 |
14 | 5014240ca4 |
15 | 2a564daa86 |
hex | 18159f9e40 |
103441997376 has 147 divisors (see below), whose sum is σ = 307967611521. Its totient is φ = 34457508864.
The previous prime is 103441997317. The next prime is 103441997413. The reversal of 103441997376 is 673799144301.
The square root of 103441997376 is 321624.
It is a perfect power (a square), and thus also a powerful number.
103441997376 is a `hidden beast` number, since 103 + 4 + 419 + 97 + 37 + 6 = 666.
It can be written as a sum of positive squares in only one way, i.e., 22148582976 + 81293414400 = 148824^2 + 285120^2 .
It is a super-2 number, since 2×1034419973762 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
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 20 ways as a sum of consecutive naturals, for example, 69470040 + ... + 69471528.
Almost surely, 2103441997376 is an apocalyptic number.
103441997376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.
103441997376 is the 321624-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 103441997376
103441997376 is an abundant number, since it is smaller than the sum of its proper divisors (204525614145).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
103441997376 is an frugal number, since it uses more digits than its factorization.
103441997376 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3008 (or 1494 counting only the distinct ones).
The product of its (nonzero) digits is 3429216, while the sum is 54.
The spelling of 103441997376 in words is "one hundred three billion, four hundred forty-one million, nine hundred ninety-seven thousand, three hundred seventy-six".
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