Search a number
-
+
4470231040 = 21251119843
BaseRepresentation
bin1000010100111001…
…00101000000000000
3102112112112021011121
410022130211000000
533123334343130
62015324322024
7215530223362
oct41234450000
912475467147
104470231040
111994368820
12a490a3314
13563182a32
1430599ad32
151b26acd7a
hex10a725000

4470231040 has 104 divisors (see below), whose sum is σ = 11703038688. Its totient is φ = 1625456640.

The previous prime is 4470231011. The next prime is 4470231047. The reversal of 4470231040 is 401320744.

It is a junction number, because it is equal to n+sod(n) for n = 4470230996 and 4470231014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4470231047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 215359 + ... + 235201.

Almost surely, 24470231040 is an apocalyptic number.

4470231040 is a gapful number since it is divisible by the number (40) 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 4470231040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5851519344).

4470231040 is an abundant number, since it is smaller than the sum of its proper divisors (7232807648).

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

4470231040 is a wasteful number, since it uses less digits than its factorization.

4470231040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19883 (or 19861 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 4470231040 is about 66859.7864190427. The cubic root of 4470231040 is about 1647.3150136585.

Adding to 4470231040 its reverse (401320744), we get a palindrome (4871551784).

The spelling of 4470231040 in words is "four billion, four hundred seventy million, two hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1024 1280 1408 1760 2048 2560 2816 3520 4096 5120 5632 7040 10240 11264 14080 19843 20480 22528 28160 39686 45056 56320 79372 99215 112640 158744 198430 218273 225280 317488 396860 436546 634976 793720 873092 1091365 1269952 1587440 1746184 2182730 2539904 3174880 3492368 4365460 5079808 6349760 6984736 8730920 10159616 12699520 13969472 17461840 20319232 25399040 27938944 34923680 40638464 50798080 55877888 69847360 81276928 101596160 111755776 139694720 203192320 223511552 279389440 406384640 447023104 558778880 894046208 1117557760 2235115520 4470231040