Base | Representation |
---|---|
bin | 1010100111100100111101… |
… | …01111001110100000000000 |
3 | 10001200020200222210220221022 |
4 | 11103302132233032200000 |
5 | 11030032003440320334 |
6 | 121354520151245012 |
7 | 4626663244053551 |
oct | 523623657164000 |
9 | 101606628726838 |
10 | 23350105401344 |
11 | 74927a6843707 |
12 | 27514a7079768 |
13 | 1004ba04973c7 |
14 | 5aa2189c2328 |
15 | 2a75ca9ed82e |
hex | 153c9ebce800 |
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".
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