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4443434707100 = 2252535023166909
BaseRepresentation
bin100000010101001000101…
…0110001110100010011100
3120201210021121022210210112
41000222101112032202130
51040300123241111400
613241141414425152
7636012311554214
oct100522126164234
916653247283715
104443434707100
1114634a5063314
125b92013621b8
13263024c7479c
141150c5d13244
157a8b5b9b835
hex40a9158e89c

4443434707100 has 72 divisors (see below), whose sum is σ = 9826197333120. Its totient is φ = 1743480910080.

The previous prime is 4443434707099. The next prime is 4443434707139. The reversal of 4443434707100 is 17074343444.

It is a super-2 number, since 2×44434347071002 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26538446 + ... + 26705354.

It is an arithmetic number, because the mean of its divisors is an integer number (136474962960).

Almost surely, 24443434707100 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 4443434707100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4913098666560).

4443434707100 is an abundant number, since it is smaller than the sum of its proper divisors (5382762626020).

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

4443434707100 is a wasteful number, since it uses less digits than its factorization.

4443434707100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171999 (or 171992 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 41.

The spelling of 4443434707100 in words is "four trillion, four hundred forty-three billion, four hundred thirty-four million, seven hundred seven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 2650 5023 5300 10046 20092 25115 50230 100460 125575 166909 251150 266219 333818 502300 532438 667636 834545 1064876 1331095 1669090 2662190 3338180 4172725 5324380 6655475 8345450 8846177 13310950 16690900 17692354 26621900 35384708 44230885 88461770 176923540 221154425 442308850 838383907 884617700 1676767814 3353535628 4191919535 8383839070 16767678140 20959597675 41919195350 44434347071 83838390700 88868694142 177737388284 222171735355 444343470710 888686941420 1110858676775 2221717353550 4443434707100