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4242222020344 = 23711193111692231
BaseRepresentation
bin111101101110111000001…
…000101111011011111000
3120000112220202011020210211
4331232320020233123320
51024001032314122334
613004503324320504
7615330134132260
oct75567010573370
916015822136724
104242222020344
111396130810660
125862076a3134
1324a06963b6a9
14109478b5c7a0
157553b032a64
hex3dbb822f6f8

4242222020344 has 128 divisors (see below), whose sum is σ = 10775561011200. Its totient is φ = 1515313008000.

The previous prime is 4242222020339. The next prime is 4242222020381. The reversal of 4242222020344 is 4430202222424.

It is a happy number.

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

It is a congruent number.

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, 5483292 + ... + 6208939.

It is an arithmetic number, because the mean of its divisors is an integer number (84184070400).

Almost surely, 24242222020344 is an apocalyptic number.

4242222020344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4242222020344 is an abundant number, since it is smaller than the sum of its proper divisors (6533338990856).

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

4242222020344 is a wasteful number, since it uses less digits than its factorization.

4242222020344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11692305 (or 11692301 counting only the distinct ones).

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

Adding to 4242222020344 its reverse (4430202222424), we get a palindrome (8672424242768).

The spelling of 4242222020344 in words is "four trillion, two hundred forty-two billion, two hundred twenty-two million, twenty thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 11 14 19 22 28 31 38 44 56 62 76 77 88 124 133 152 154 209 217 248 266 308 341 418 434 532 589 616 682 836 868 1064 1178 1364 1463 1672 1736 2356 2387 2728 2926 4123 4712 4774 5852 6479 8246 9548 11704 12958 16492 19096 25916 32984 45353 51832 90706 181412 362824 11692231 23384462 46768924 81845617 93537848 128614541 163691234 222152389 257229082 327382468 362459161 444304778 514458164 654764936 724918322 888609556 900301787 1028916328 1449836644 1555066723 1777219112 1800603574 2443676279 2537214127 2899673288 3110133446 3601207148 3987050771 4887352558 5074428254 6220266892 6886724059 7202414296 7974101542 9774705116 10148856508 12440533784 13773448118 15948203084 17105733953 19549410232 20297713016 27546896236 27909355397 31896406168 34211467906 48207068413 55093792472 55818710794 68422935812 75753964649 96414136826 111637421588 136845871624 151507929298 192828273652 223274843176 303015858596 385656547304 530277752543 606031717192 1060555505086 2121111010172 4242222020344