Base | Representation |
---|---|
bin | 1011101011110010000… |
… | …00011101110000011000 |
3 | 1102101020120210221102200 |
4 | 11311321000131300120 |
5 | 23034143300423134 |
6 | 504232410330200 |
7 | 41001414513606 |
oct | 5657100356030 |
9 | 1371216727380 |
10 | 401462123544 |
11 | 1452939a2469 |
12 | 65980a29960 |
13 | 2bb1c52b4c1 |
14 | 15606446876 |
15 | a699e60499 |
hex | 5d7901dc18 |
401462123544 has 144 divisors (see below), whose sum is σ = 1176809886720. Its totient is φ = 123572167680.
The previous prime is 401462123539. The next prime is 401462123549. The reversal of 401462123544 is 445321264104.
401462123544 is a `hidden beast` number, since 4 + 0 + 1 + 4 + 621 + 23 + 5 + 4 + 4 = 666.
It is an interprime number because it is at equal distance from previous prime (401462123539) and next prime (401462123549).
It is a super-2 number, since 2×4014621235442 (a number of 24 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 = 401462123499 and 401462123508.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (401462123549) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 920809 + ... + 1284839.
It is an arithmetic number, because the mean of its divisors is an integer number (8172290880).
Almost surely, 2401462123544 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 401462123544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588404943360).
401462123544 is an abundant number, since it is smaller than the sum of its proper divisors (775347763176).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
401462123544 is a wasteful number, since it uses less digits than its factorization.
401462123544 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 364130 (or 364106 counting only the distinct ones).
The product of its (nonzero) digits is 92160, while the sum is 36.
Adding to 401462123544 its reverse (445321264104), we get a palindrome (846783387648).
The spelling of 401462123544 in words is "four hundred one billion, four hundred sixty-two million, one hundred twenty-three thousand, five hundred forty-four".
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