Search a number
-
+
4040440040040 = 2335125272687821
BaseRepresentation
bin111010110010111100111…
…111100100101001101000
3112022021002012202120212220
4322302330333210221220
51012144310122240130
612332052540234040
7564624604451355
oct72627477445150
915267065676786
104040440040040
1113185a5083268
1255309323b920
1323402009b401
14dd7b613562c
157017b414410
hex3acbcfe4a68

4040440040040 has 64 divisors (see below), whose sum is σ = 12122292245760. Its totient is φ = 1077364266240.

The previous prime is 4040440040029. The next prime is 4040440040057. The reversal of 4040440040040 is 400400440404.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 159330 + ... + 2847150.

It is an arithmetic number, because the mean of its divisors is an integer number (189410816340).

Almost surely, 24040440040040 is an apocalyptic number.

4040440040040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4040440040040 is an abundant number, since it is smaller than the sum of its proper divisors (8081852205720).

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

4040440040040 is a wasteful number, since it uses less digits than its factorization.

4040440040040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2700362 (or 2700358 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 4040440040040 its reverse (400400440404), we get a palindrome (4440840480444).

The spelling of 4040440040040 in words is "four trillion, forty billion, four hundred forty million, forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 12527 25054 37581 50108 62635 75162 100216 125270 150324 187905 250540 300648 375810 501080 751620 1503240 2687821 5375642 8063463 10751284 13439105 16126926 21502568 26878210 32253852 40317315 53756420 64507704 80634630 107512840 161269260 322538520 33670333667 67340667334 101011001001 134681334668 168351668335 202022002002 269362669336 336703336670 404044004004 505055005005 673406673340 808088008008 1010110010010 1346813346680 2020220020020 4040440040040