Search a number
-
+
401423324104 = 2311171312048329
BaseRepresentation
bin1011101011101101011…
…00011101001111001000
31102101010212210201121101
411311312230131033020
523034103332332404
6504224502551144
741000433645655
oct5656654351710
91371125721541
10401423324104
11145274001910
126596ba384b4
132bb1449525a
1415601226c2c
15a6968492a4
hex5d76b1d3c8

401423324104 has 64 divisors (see below), whose sum is σ = 876029774400. Its totient is φ = 170420889600.

The previous prime is 401423324101. The next prime is 401423324119.

401423324104 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×4014233241043 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (401423324101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 828189 + ... + 1220140.

It is an arithmetic number, because the mean of its divisors is an integer number (13687965225).

Almost surely, 2401423324104 is an apocalyptic number.

401423324104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

401423324104 is an abundant number, since it is smaller than the sum of its proper divisors (474606450296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

401423324104 is a wasteful number, since it uses less digits than its factorization.

401423324104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2048494 (or 2048490 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

It can be divided in two parts, 401423 and 324104, that added together give a palindrome (725527).

The spelling of 401423324104 in words is "four hundred one billion, four hundred twenty-three million, three hundred twenty-four thousand, one hundred four".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 131 136 187 262 374 524 748 1048 1441 1496 2227 2882 4454 5764 8908 11528 17816 24497 48994 97988 195976 2048329 4096658 8193316 16386632 22531619 34821593 45063238 69643186 90126476 139286372 180252952 268331099 278572744 383037523 536662198 766075046 1073324396 1532150092 2146648792 2951642089 3064300184 4561628683 5903284178 9123257366 11806568356 18246514732 23613136712 36493029464 50177915513 100355831026 200711662052 401423324104