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22423430004144 = 2431325591494407
BaseRepresentation
bin1010001100100110111001…
…00101000111110110110000
32221101122210101120020222220
411012103130211013312300
510414341141040113034
6115405103113401040
74503016333125651
oct506233445076660
987348711506886
1022423430004144
1171657a5729104
122621989409180
13c6869c360a00
1457742a933528
1528d4416aa749
hex1464dc947db0

22423430004144 has 120 divisors (see below), whose sum is σ = 62737242630912. Its totient is φ = 6898268931840.

The previous prime is 22423430004133. The next prime is 22423430004169. The reversal of 22423430004144 is 44140003432422.

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, 45106989 + ... + 45601395.

Almost surely, 222423430004144 is an apocalyptic number.

22423430004144 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 22423430004144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31368621315456).

22423430004144 is an abundant number, since it is smaller than the sum of its proper divisors (40313812626768).

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

22423430004144 is a wasteful number, since it uses less digits than its factorization.

22423430004144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500035 (or 500016 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 22423430004144 its reverse (44140003432422), we get a palindrome (66563433436566).

The spelling of 22423430004144 in words is "twenty-two trillion, four hundred twenty-three billion, four hundred thirty million, four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 208 312 338 507 624 676 1014 1352 2028 2704 4056 5591 8112 11182 16773 22364 33546 44728 67092 72683 89456 134184 145366 218049 268368 290732 436098 494407 581464 872196 944879 988814 1162928 1483221 1744392 1889758 1977628 2834637 2966442 3488784 3779516 3955256 5669274 5932884 6427291 7559032 7910512 11338548 11865768 12854582 15118064 19281873 22677096 23731536 25709164 38563746 45354192 51418328 77127492 83554783 102836656 154254984 167109566 250664349 308509968 334219132 501328698 668438264 1002657396 1336876528 2005314792 2764229537 4010629584 5528459074 8292688611 11056918148 16585377222 22113836296 33170754444 35934983981 44227672592 66341508888 71869967962 107804951943 132683017776 143739935924 215609903886 287479871848 431219807772 467154791753 574959743696 862439615544 934309583506 1401464375259 1724879231088 1868619167012 2802928750518 3737238334024 5605857501036 7474476668048 11211715002072 22423430004144