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4022023304112 = 24311101109691931
BaseRepresentation
bin111010100001110011010…
…001010011001110110000
3112020111112201102110122020
4322201303101103032300
51011344100431212422
612315405245511440
7563403326001612
oct72416321231660
915214481373566
104022023304112
111310804334a50
1254b5b3572580
13232376719a28
14dc94a228db2
156e94e68d95c
hex3a8734533b0

4022023304112 has 160 divisors (see below), whose sum is σ = 11552053835520. Its totient is φ = 1195655040000.

The previous prime is 4022023304077. The next prime is 4022023304147. The reversal of 4022023304112 is 2114033202204.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4022023304077) and next prime (4022023304147).

It is a super-2 number, since 2×40220233041122 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5466787 + ... + 6158717.

It is an arithmetic number, because the mean of its divisors is an integer number (72200336472).

Almost surely, 24022023304112 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 4022023304112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5776026917760).

4022023304112 is an abundant number, since it is smaller than the sum of its proper divisors (7530030531408).

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

4022023304112 is a wasteful number, since it uses less digits than its factorization.

4022023304112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692163 (or 692157 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 4022023304112 its reverse (2114033202204), we get a palindrome (6136056506316).

It can be divided in two parts, 40220 and 23304112, that added together give a palindrome (23344332).

The spelling of 4022023304112 in words is "four trillion, twenty-two billion, twenty-three million, three hundred four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 101 109 132 176 202 218 264 303 327 404 436 528 606 654 808 872 1111 1199 1212 1308 1616 1744 2222 2398 2424 2616 3333 3597 4444 4796 4848 5232 6666 7194 8888 9592 11009 13332 14388 17776 19184 22018 26664 28776 33027 44036 53328 57552 66054 88072 121099 132108 176144 242198 264216 363297 484396 528432 691931 726594 968792 1383862 1453188 1937584 2075793 2767724 2906376 4151586 5535448 5812752 7611241 8303172 11070896 15222482 16606344 22833723 30444964 33212688 45667446 60889928 69885031 75420479 91334892 121779856 139770062 150840958 182669784 209655093 226261437 279540124 301681916 365339568 419310186 452522874 559080248 603363832 768735341 829625269 838620372 905045748 1118160496 1206727664 1537470682 1659250538 1677240744 1810091496 2306206023 2488875807 3074941364 3318501076 3354481488 3620182992 4612412046 4977751614 6149882728 6637002152 7617468379 9224824092 9955503228 12299765456 13274004304 15234936758 18449648184 19911006456 22852405137 30469873516 36899296368 39822012912 45704810274 60939747032 83792152169 91409620548 121879494064 167584304338 182819241096 251376456507 335168608676 365638482192 502752913014 670337217352 1005505826028 1340674434704 2011011652056 4022023304112