Base | Representation |
---|---|
bin | 100000001111011110100… |
… | …0100111011111011100000 |
3 | 120200121220202122000012210 |
4 | 1000132331010323323200 |
5 | 1040100232032020143 |
6 | 13231411543322120 |
7 | 635102223006141 |
oct | 100367504737340 |
9 | 16617822560183 |
10 | 4431283470048 |
11 | 1459329aa5046 |
12 | 5b698ba50340 |
13 | 261b39699ca6 |
14 | 1146921a7ac8 |
15 | 7a404005033 |
hex | 407bd13bee0 |
4431283470048 has 96 divisors (see below), whose sum is σ = 12246068419200. Its totient is φ = 1399154674176.
The previous prime is 4431283469989. The next prime is 4431283470073. The reversal of 4431283470048 is 8400743821344.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-4 number, since 4×44312834700484 (a number of 52 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (48).
It is a junction number, because it is equal to n+sod(n) for n = 4431283469979 and 4431283470006.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12999190 + ... + 13335722.
It is an arithmetic number, because the mean of its divisors is an integer number (127563212700).
Almost surely, 24431283470048 is an apocalyptic number.
4431283470048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.
It is an amenable number.
4431283470048 is an abundant number, since it is smaller than the sum of its proper divisors (7814784949152).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4431283470048 is a wasteful number, since it uses less digits than its factorization.
4431283470048 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 343784 (or 343776 counting only the distinct ones).
The product of its (nonzero) digits is 2064384, while the sum is 48.
The spelling of 4431283470048 in words is "four trillion, four hundred thirty-one billion, two hundred eighty-three million, four hundred seventy thousand, forty-eight".
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