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4400523450029 = 722337613834517
BaseRepresentation
bin100000000001001001110…
…1000110001011010101101
3120120200112001020002101002
41000002103220301122231
51034044233000400104
613205323401330045
7632633034106400
oct100022350613255
916520461202332
104400523450029
1114472848477a3
125b0a26496925
1325bc76a0c705
14112db4c3dd37
157970380001e
hex40093a316ad

4400523450029 has 96 divisors (see below), whose sum is σ = 5591635255296. Its totient is φ = 3443047534080.

The previous prime is 4400523450007. The next prime is 4400523450083. The reversal of 4400523450029 is 9200543250044.

It is a de Polignac number, because none of the positive numbers 2k-4400523450029 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4400523449974 and 4400523450001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4400523450329) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 974211479 + ... + 974215995.

It is an arithmetic number, because the mean of its divisors is an integer number (58246200576).

Almost surely, 24400523450029 is an apocalyptic number.

4400523450029 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

4400523450029 is a deficient number, since it is larger than the sum of its proper divisors (1191111805267).

4400523450029 is a wasteful number, since it uses less digits than its factorization.

4400523450029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5035 (or 5028 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 38.

The spelling of 4400523450029 in words is "four trillion, four hundred billion, five hundred twenty-three million, four hundred fifty thousand, twenty-nine".

Divisors: 1 7 23 37 49 61 161 259 383 427 851 1127 1403 1813 2257 2681 2989 4517 5957 8809 9821 14171 15799 18767 23363 31619 41699 51911 61663 68747 99197 103891 110593 163541 167129 221333 275537 325933 363377 431641 537349 694379 727237 864431 1144787 1169903 1730011 1928759 2281531 2543639 3761443 3843967 5090659 6051017 6337351 8189321 10194869 12110077 13501313 15970717 19881913 26330101 26907769 39790253 42357119 44361457 64010407 71364083 84770539 105530671 139173391 188354383 234481987 278531771 310530199 448072849 499548581 738714697 974213737 1472239361 1641373909 1949722397 2427205433 3136509943 3904634827 5171002879 10305675527 11489617363 16990438031 27332443789 72139728689 89806601021 118933066217 191327106523 628646207147 4400523450029