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4400523450030 = 23517192081218227
BaseRepresentation
bin100000000001001001110…
…1000110001011010101110
3120120200112001020002101010
41000002103220301122232
51034044233000400110
613205323401330050
7632633034106401
oct100022350613256
916520461202333
104400523450030
1114472848477a4
125b0a26496926
1325bc76a0c706
14112db4c3dd38
1579703800020
hex40093a316ae

4400523450030 has 128 divisors (see below), whose sum is σ = 11776770040320. Its totient is φ = 1045808824320.

The previous prime is 4400523450007. The next prime is 4400523450083. The reversal of 4400523450030 is 300543250044.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 4400523450030.

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 63 ways as a sum of consecutive naturals, for example, 20055777 + ... + 20274003.

It is an arithmetic number, because the mean of its divisors is an integer number (92006015940).

Almost surely, 24400523450030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4400523450030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5888385020160).

4400523450030 is an abundant number, since it is smaller than the sum of its proper divisors (7376246590290).

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

4400523450030 is a wasteful number, since it uses less digits than its factorization.

4400523450030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220354.

The product of its (nonzero) digits is 28800, while the sum is 30.

The spelling of 4400523450030 in words is "four trillion, four hundred billion, five hundred twenty-three million, four hundred fifty thousand, thirty".

Divisors: 1 2 3 5 6 10 15 17 19 30 34 38 51 57 85 95 102 114 170 190 255 285 323 510 570 646 969 1615 1938 2081 3230 4162 4845 6243 9690 10405 12486 20810 31215 35377 39539 62430 70754 79078 106131 118617 176885 197695 212262 218227 237234 353770 395390 436454 530655 593085 654681 672163 1061310 1091135 1186170 1309362 1344326 2016489 2182270 3273405 3360815 3709859 4032978 4146313 6546810 6721630 7419718 8292626 10082445 11129577 12438939 18549295 20164890 20731565 22259154 24877878 37098590 41463130 55647885 62194695 70487321 111295770 124389390 140974642 211461963 352436605 422923926 454130387 704873210 908260774 1057309815 1362391161 2114619630 2270651935 2724782322 4541303870 6811955805 7720216579 8628477353 13623911610 15440433158 17256954706 23160649737 25885432059 38601082895 43142386765 46321299474 51770864118 77202165790 86284773530 115803248685 129427160295 146684115001 231606497370 258854320590 293368230002 440052345003 733420575005 880104690006 1466841150010 2200261725015 4400523450030