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23350105401344 = 211431098724133
BaseRepresentation
bin1010100111100100111101…
…01111001110100000000000
310001200020200222210220221022
411103302132233032200000
511030032003440320334
6121354520151245012
74626663244053551
oct523623657164000
9101606628726838
1023350105401344
1174927a6843707
1227514a7079768
131004ba04973c7
145aa2189c2328
152a75ca9ed82e
hex153c9ebce800

23350105401344 has 96 divisors (see below), whose sum is σ = 47780923750560. Its totient is φ = 11402029449216.

The previous prime is 23350105401323. The next prime is 23350105401349. The reversal of 23350105401344 is 44310450105332.

It is a super-3 number, since 3×233501054013443 (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (23350105401349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 967547102 + ... + 967571234.

It is an arithmetic number, because the mean of its divisors is an integer number (497717955735).

Almost surely, 223350105401344 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 23350105401344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23890461875280).

23350105401344 is an abundant number, since it is smaller than the sum of its proper divisors (24430818349216).

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

23350105401344 is a wasteful number, since it uses less digits than its factorization.

23350105401344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35185 (or 35165 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

Adding to 23350105401344 its reverse (44310450105332), we get a palindrome (67660555506676).

The spelling of 23350105401344 in words is "twenty-three trillion, three hundred fifty billion, one hundred five million, four hundred one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 256 344 512 688 1024 1376 2048 2752 5504 10987 11008 21974 22016 24133 43948 44032 48266 87896 88064 96532 175792 193064 351584 386128 472441 703168 772256 944882 1037719 1406336 1544512 1889764 2075438 2812672 3089024 3779528 4150876 5625344 6178048 7559056 8301752 11250688 12356096 15118112 16603504 22501376 24712192 30236224 33207008 49424384 60472448 66414016 120944896 132828032 241889792 265149271 265656064 483779584 530298542 531312128 967559168 1060597084 1062624256 2121194168 2125248512 4242388336 8484776672 11401418653 16969553344 22802837306 33939106688 45605674612 67878213376 91211349224 135756426752 182422698448 271512853504 364845396896 543025707008 729690793792 1459381587584 2918763175168 5837526350336 11675052700672 23350105401344