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440004402100 = 225271162138231
BaseRepresentation
bin1100110011100100100…
…11100101101110110100
31120001201122220120001001
412121302103211232310
524202112111331400
6534045113213044
743534501464634
oct6316223455664
91501648816031
10440004402100
1115a67201783a
1271338701184
13326525a24a3
14174211986c4
15b6a399ea6a
hex66724e5bb4

440004402100 has 72 divisors (see below), whose sum is σ = 968880237696. Its totient is φ = 173411280000.

The previous prime is 440004402091. The next prime is 440004402157. The reversal of 440004402100 is 1204400044.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11489985 + ... + 11528215.

It is an arithmetic number, because the mean of its divisors is an integer number (13456669968).

Almost surely, 2440004402100 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 440004402100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484440118848).

440004402100 is an abundant number, since it is smaller than the sum of its proper divisors (528875835596).

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

440004402100 is a wasteful number, since it uses less digits than its factorization.

440004402100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39937 (or 39930 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 440004402100 its reverse (1204400044), we get a palindrome (441208802144).

The spelling of 440004402100 in words is "four hundred forty billion, four million, four hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 142 284 355 710 1420 1621 1775 3242 3550 6484 7100 8105 16210 32420 38231 40525 76462 81050 115091 152924 162100 191155 230182 382310 460364 575455 764620 955775 1150910 1911550 2301820 2714401 2877275 3823100 5428802 5754550 10857604 11509100 13572005 27144010 54288020 61972451 67860025 123944902 135720050 247889804 271440100 309862255 619724510 1239449020 1549311275 3098622550 4400044021 6197245100 8800088042 17600176084 22000220105 44000440210 88000880420 110001100525 220002201050 440004402100