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4022024032444 = 2211316164774713
BaseRepresentation
bin111010100001110011010…
…100000101000010111100
3112020111112202210110201111
4322201303110011002330
51011344101123014234
612315405313251404
7563403335124205
oct72416324050274
915214482713644
104022024032444
111310804792180
1254b5b3863b64
132323769133b2
14dc94a3785ac
156e94e784664
hex3a8735050bc

4022024032444 has 96 divisors (see below), whose sum is σ = 8068595576832. Its totient is φ = 1737502272000.

The previous prime is 4022024032421. The next prime is 4022024032447. The reversal of 4022024032444 is 4442304202204.

It is a super-2 number, since 2×40220240324442 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4022024032447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53795632 + ... + 53870344.

It is an arithmetic number, because the mean of its divisors is an integer number (84047870592).

Almost surely, 24022024032444 is an apocalyptic number.

4022024032444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4022024032444 is an abundant number, since it is smaller than the sum of its proper divisors (4046571544388).

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

4022024032444 is a wasteful number, since it uses less digits than its factorization.

4022024032444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75467 (or 75465 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 31.

Adding to 4022024032444 its reverse (4442304202204), we get a palindrome (8464328234648).

The spelling of 4022024032444 in words is "four trillion, twenty-two billion, twenty-four million, thirty-two thousand, four hundred forty-four".

Divisors: 1 2 4 11 22 31 44 61 62 122 124 244 341 647 671 682 1294 1342 1364 1891 2588 2684 3782 7117 7564 14234 20057 20801 28468 39467 40114 41602 74713 78934 80228 83204 149426 157868 220627 298852 434137 441254 821843 868274 882508 1223477 1643686 1736548 2316103 2446954 3287372 4557493 4632206 4893908 9114986 9264412 13458247 18229972 25477133 26916494 48339311 50132423 50954266 53832988 96678622 100264846 101908532 141282283 193357244 200529692 282564566 531732421 565129132 1063464842 1498518641 1554105113 2126929684 2948697971 2997037282 3108210226 5897395942 5994074564 6216420452 11794791884 16483705051 32435677681 32967410102 64871355362 65934820204 91409637101 129742710724 182819274202 365638548404 1005506008111 2011012016222 4022024032444