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23223054541344 = 253734558116877
BaseRepresentation
bin1010100011111000010011…
…11010101010001000100000
310001020002202121012111211220
411101330021322222020200
511020441303430310334
6121220305102335040
74614544640423160
oct521741172521040
9101202677174756
1023223054541344
117443929957069
122730949b8a480
13cc5c035aa438
145a40050805a0
152a4141a34449
hex151f09eaa220

23223054541344 has 48 divisors (see below), whose sum is σ = 69669163626048. Its totient is φ = 6635158440192.

The previous prime is 23223054541289. The next prime is 23223054541381. The reversal of 23223054541344 is 44314545032232.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 23223054541296 and 23223054541305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17279057767 + ... + 17279059110.

It is an arithmetic number, because the mean of its divisors is an integer number (1451440908876).

Almost surely, 223223054541344 is an apocalyptic number.

23223054541344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23223054541344 is an abundant number, since it is smaller than the sum of its proper divisors (46446109084704).

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

23223054541344 is a wasteful number, since it uses less digits than its factorization.

23223054541344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34558116897 (or 34558116889 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 42.

Adding to 23223054541344 its reverse (44314545032232), we get a palindrome (67537599573576).

The spelling of 23223054541344 in words is "twenty-three trillion, two hundred twenty-three billion, fifty-four million, five hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 34558116877 69116233754 103674350631 138232467508 207348701262 241906818139 276464935016 414697402524 483813636278 552929870032 725720454417 829394805048 967627272556 1105859740064 1451440908834 1658789610096 1935254545112 2902881817668 3317579220192 3870509090224 5805763635336 7741018180448 11611527270672 23223054541344