Search a number
-
+
440410343104 = 2647941155593
BaseRepresentation
bin1100110100010101000…
…00001000011011000000
31120002202221202111102001
412122022200020123000
524203430021434404
6534153254033344
743550531102254
oct6321240103300
91502687674361
10440410343104
1115a860180276
1271430648854
13326b8713c74
141745d068264
15b6c94387a4
hex668a8086c0

440410343104 has 56 divisors (see below), whose sum is σ = 893487964608. Its totient is φ = 215289538560.

The previous prime is 440410343099. The next prime is 440410343119. The reversal of 440410343104 is 401343014044.

It is a happy number.

It is a super-2 number, since 2×4404103431042 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2752732 + ... + 2908324.

Almost surely, 2440410343104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440410343104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446743982304).

440410343104 is an abundant number, since it is smaller than the sum of its proper divisors (453077621504).

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

440410343104 is a wasteful number, since it uses less digits than its factorization.

440410343104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156593 (or 156583 counting only the distinct ones).

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

Adding to 440410343104 its reverse (401343014044), we get a palindrome (841753357148).

The spelling of 440410343104 in words is "four hundred forty billion, four hundred ten million, three hundred forty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 32 47 64 94 188 376 752 941 1504 1882 3008 3764 7528 15056 30112 44227 60224 88454 155593 176908 311186 353816 622372 707632 1244744 1415264 2489488 2830528 4978976 7312871 9957952 14625742 29251484 58502968 117005936 146413013 234011872 292826026 468023744 585652052 1171304104 2342608208 4685216416 6881411611 9370432832 13762823222 27525646444 55051292888 110102585776 220205171552 440410343104