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23044330042344 = 23331314395703037
BaseRepresentation
bin1010011110101011011010…
…00110110011001111101000
310000121000102222112021001000
411033111231012303033220
511010024241442323334
6121002230304155000
74565616660305652
oct517255506631750
9100530388467030
1023044330042344
1173850555a9746
12270218b608a60
13cb20bcca3a10
145994cc8296d2
1529e6812cc299
hex14f56d1b33e8

23044330042344 has 128 divisors (see below), whose sum is σ = 68983947648000. Its totient is φ = 7085634423552.

The previous prime is 23044330042343. The next prime is 23044330042361. The reversal of 23044330042344 is 44324003344032.

23044330042344 is a `hidden beast` number, since 2 + 3 + 0 + 4 + 4 + 3 + 300 + 4 + 2 + 344 = 666.

It is a super-2 number, since 2×230443300423442 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 23044330042299 and 23044330042308.

It is not an unprimeable number, because it can be changed into a prime (23044330042343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1189194 + ... + 6892230.

It is an arithmetic number, because the mean of its divisors is an integer number (538937091000).

Almost surely, 223044330042344 is an apocalyptic number.

23044330042344 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 23044330042344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34491973824000).

23044330042344 is an abundant number, since it is smaller than the sum of its proper divisors (45939617605656).

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

23044330042344 is a wasteful number, since it uses less digits than its factorization.

23044330042344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5704504 (or 5704494 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

Adding to 23044330042344 its reverse (44324003344032), we get a palindrome (67368333386376).

The spelling of 23044330042344 in words is "twenty-three trillion, forty-four billion, three hundred thirty million, forty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 1439 2808 2878 4317 5756 8634 11512 12951 17268 18707 25902 34536 37414 38853 51804 56121 74828 77706 103608 112242 149656 155412 168363 224484 310824 336726 448968 505089 673452 1010178 1346904 2020356 4040712 5703037 11406074 17109111 22812148 34218222 45624296 51327333 68436444 74139481 102654666 136872888 148278962 153981999 205309332 222418443 296557924 307963998 410618664 444836886 593115848 615927996 667255329 889673772 1231855992 1334510658 1779347544 2001765987 2669021316 4003531974 5338042632 8007063948 8206670243 16014127896 16413340486 24620010729 32826680972 49240021458 65653361944 73860032187 98480042916 106686713159 147720064374 196960085832 213373426318 221580096561 295440128748 320060139477 426746852636 443160193122 590880257496 640120278954 853493705272 886320386244 960180418431 1280240557908 1772640772488 1920360836862 2560481115816 2880541255293 3840721673724 5761082510586 7681443347448 11522165021172 23044330042344