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4424144342124 = 22313414631493963
BaseRepresentation
bin100000001100001001110…
…0011010100110001101100
3120122221111020002201210110
41000120103203110301230
51034441121422421444
613224231315140020
7634430264301123
oct100302343246154
916587436081713
104424144342124
1114562a6164621
125b5518ba4610
1326126c600940
141141b5d92aba
157a1373a7cb9
hex406138d4c6c

4424144342124 has 96 divisors (see below), whose sum is σ = 11412833209344. Its totient is φ = 1325204052480.

The previous prime is 4424144342119. The next prime is 4424144342141. The reversal of 4424144342124 is 4212434414244.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2214367 + ... + 3708329.

It is an arithmetic number, because the mean of its divisors is an integer number (118883679264).

Almost surely, 24424144342124 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 4424144342124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5706416604672).

4424144342124 is an abundant number, since it is smaller than the sum of its proper divisors (6988688867220).

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

4424144342124 is a wasteful number, since it uses less digits than its factorization.

4424144342124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1494487 (or 1494485 counting only the distinct ones).

The product of its digits is 393216, while the sum is 39.

Adding to 4424144342124 its reverse (4212434414244), we get a palindrome (8636578756368).

The spelling of 4424144342124 in words is "four trillion, four hundred twenty-four billion, one hundred forty-four million, three hundred forty-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 39 41 52 78 82 123 156 164 246 463 492 533 926 1066 1389 1599 1852 2132 2778 3198 5556 6019 6396 12038 18057 18983 24076 36114 37966 56949 72228 75932 113898 227796 246779 493558 740337 987116 1480674 1493963 2961348 2987926 4481889 5975852 8963778 17927556 19421519 38843038 58264557 61252483 77686076 116529114 122504966 183757449 233058228 245009932 367514898 691704869 735029796 796282279 1383409738 1592564558 2075114607 2388846837 2766819476 3185129116 4150229214 4777693674 8300458428 8992163297 9555387348 17984326594 26976489891 28359899629 35968653188 53952979782 56719799258 85079698887 107905959564 113439598516 170159397774 340318795548 368678695177 737357390354 1106036085531 1474714780708 2212072171062 4424144342124