Search a number
-
+
1000004243224 = 23761510157389
BaseRepresentation
bin11101000110101001110…
…01011100111100011000
310112121012000102000002111
432203110321130330120
5112341002041240344
62043221241242104
7132151015550650
oct16432471347430
93477160360074
101000004243224
11356110363998
12141983493334
13733b912301c
1436586c2d360
151b02bd03834
hexe8d4e5cf18

1000004243224 has 64 divisors (see below), whose sum is σ = 2178460123200. Its totient is φ = 421457472000.

The previous prime is 1000004243213. The next prime is 1000004243267. The reversal of 1000004243224 is 4223424000001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1000004243195 and 1000004243204.

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, 17396322 + ... + 17453710.

It is an arithmetic number, because the mean of its divisors is an integer number (34038439425).

Almost surely, 21000004243224 is an apocalyptic number.

1000004243224 is a gapful number since it is divisible by the number (14) 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 1000004243224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089230061600).

1000004243224 is an abundant number, since it is smaller than the sum of its proper divisors (1178455879976).

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

1000004243224 is a wasteful number, since it uses less digits than its factorization.

1000004243224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62564 (or 62560 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 1000004243224 its reverse (4223424000001), we get a palindrome (5223428243225).

The spelling of 1000004243224 in words is "one trillion, four million, two hundred forty-three thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 56 61 122 244 427 488 854 1708 3416 5101 10202 20404 35707 40808 57389 71414 114778 142828 229556 285656 311161 401723 459112 622322 803446 1244644 1606892 2178127 2489288 3213784 3500729 4356254 7001458 8712508 14002916 17425016 24505103 28005832 49010206 98020412 196040824 292741289 585482578 1170965156 2049189023 2341930312 4098378046 8196756092 16393512184 17857218629 35714437258 71428874516 125000530403 142857749032 250001060806 500002121612 1000004243224