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23144105304 = 23322346729927
BaseRepresentation
bin10101100011011111…
…110000010101011000
32012201221201100220100
4111203133300111120
5334344342332204
614344322255400
71446350435445
oct254337602530
965657640810
1023144105304
1198a7275961
12459aab7560
13224aba5c88
141197ac09cc
15906cc7a39
hex5637f0558

23144105304 has 96 divisors (see below), whose sum is σ = 65549502720. Its totient is φ = 7363232448.

The previous prime is 23144105291. The next prime is 23144105323. The reversal of 23144105304 is 40350144132.

It is a happy number.

23144105304 is a `hidden beast` number, since 2 + 314 + 41 + 0 + 5 + 304 = 666.

It is a super-2 number, since 2×231441053042 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 758389 + ... + 788315.

It is an arithmetic number, because the mean of its divisors is an integer number (682807320).

Almost surely, 223144105304 is an apocalyptic number.

23144105304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23144105304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32774751360).

23144105304 is an abundant number, since it is smaller than the sum of its proper divisors (42405397416).

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

23144105304 is a wasteful number, since it uses less digits than its factorization.

23144105304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30429 (or 30422 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 23144105304 its reverse (40350144132), we get a palindrome (63494249436).

The spelling of 23144105304 in words is "twenty-three billion, one hundred forty-four million, one hundred five thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 467 552 828 934 1401 1656 1868 2802 3736 4203 5604 8406 10741 11208 16812 21482 29927 32223 33624 42964 59854 64446 85928 89781 96669 119708 128892 179562 193338 239416 257784 269343 359124 386676 538686 688321 718248 773352 1077372 1376642 2064963 2154744 2753284 4129926 5506568 6194889 8259852 12389778 13975909 16519704 24779556 27951818 41927727 49559112 55903636 83855454 111807272 125783181 167710908 251566362 321445907 335421816 503132724 642891814 964337721 1006265448 1285783628 1928675442 2571567256 2893013163 3857350884 5786026326 7714701768 11572052652 23144105304