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4022431343244 = 22321071193387509
BaseRepresentation
bin111010100010001011100…
…101110110001010001100
3112020112121011020000002200
4322202023211312022030
51011400414410440434
612315513543321500
7563416412165226
oct72421345661214
915215534200080
104022431343244
1113109a36a0876
1254b6a8150290
132324101144c2
14dc9884c3416
156e9753de199
hex3a88b97628c

4022431343244 has 72 divisors (see below), whose sum is σ = 10263816173520. Its totient is φ = 1328153020032.

The previous prime is 4022431343213. The next prime is 4022431343377. The reversal of 4022431343244 is 4423431342204.

4022431343244 is a `hidden beast` number, since 40 + 2 + 2 + 4 + 31 + 343 + 244 = 666.

It is a super-2 number, since 2×40224313432442 (a number of 26 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 = 4022431343199 and 4022431343208.

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, 45922162 + ... + 46009670.

It is an arithmetic number, because the mean of its divisors is an integer number (142553002410).

Almost surely, 24022431343244 is an apocalyptic number.

It is an amenable number.

4022431343244 is an abundant number, since it is smaller than the sum of its proper divisors (6241384830276).

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

4022431343244 is a wasteful number, since it uses less digits than its factorization.

4022431343244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99559 (or 99554 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 4022431343244 its reverse (4423431342204), we get a palindrome (8445862685448).

The spelling of 4022431343244 in words is "four trillion, twenty-two billion, four hundred thirty-one million, three hundred forty-three thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 107 214 321 428 642 963 1284 1926 3852 11933 23866 35799 47732 71598 87509 107397 143196 175018 214794 262527 350036 429588 525054 787581 1050108 1276831 1575162 2553662 3150324 3830493 5107324 7660986 9363463 11491479 15321972 18726926 22982958 28090389 37453852 45965916 56180778 84271167 112361556 168542334 337084668 1044244897 2088489794 3132734691 4176979588 6265469382 9398204073 12530938764 18796408146 37592816292 111734203979 223468407958 335202611937 446936815916 670405223874 1005607835811 1340810447748 2011215671622 4022431343244