Search a number
-
+
40223104000 = 21053314243
BaseRepresentation
bin100101011101011110…
…111101110000000000
310211211012212101122121
4211131132331300000
51124334103312000
630251144414024
72622523512532
oct453536756000
9124735771577
1040223104000
1116070991412
127966777314
133a40368a71
141d38085852
1510a63a6b1a
hex95d7bdc00

40223104000 has 88 divisors (see below), whose sum is σ = 100348165008. Its totient is φ = 16089190400.

The previous prime is 40223103983. The next prime is 40223104001. The reversal of 40223104000 is 40132204.

40223104000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40223104001) 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, 29122 + ... + 285121.

Almost surely, 240223104000 is an apocalyptic number.

40223104000 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 40223104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50174082504).

40223104000 is an abundant number, since it is smaller than the sum of its proper divisors (60125061008).

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

40223104000 is an equidigital number, since it uses as much as digits as its factorization.

40223104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314278 (or 314250 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 40223104000 its reverse (40132204), we get a palindrome (40263236204).

The spelling of 40223104000 in words is "forty billion, two hundred twenty-three million, one hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 640 800 1000 1024 1280 1600 2000 2560 3200 4000 5120 6400 8000 12800 16000 25600 32000 64000 128000 314243 628486 1256972 1571215 2513944 3142430 5027888 6284860 7856075 10055776 12569720 15712150 20111552 25139440 31424300 39280375 40223104 50278880 62848600 78560750 80446208 100557760 125697200 157121500 160892416 201115520 251394400 314243000 321784832 402231040 502788800 628486000 804462080 1005577600 1256972000 1608924160 2011155200 2513944000 4022310400 5027888000 8044620800 10055776000 20111552000 40223104000