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1342223012424 = 233728091410811
BaseRepresentation
bin10011100010000010101…
…110011101001001001000
311202022111211101201111010
4103202002232131021020
5133442333042344144
62504335253203520
7165654352235100
oct23420256351110
94668454351433
101342223012424
11478262998388
1219816b9305a0
13997568a7968
1448d6d0a4200
1524daab725b9
hex13882b9d248

1342223012424 has 96 divisors (see below), whose sum is σ = 3908231402400. Its totient is φ = 383017985280.

The previous prime is 1342223012411. The next prime is 1342223012453. The reversal of 1342223012424 is 4242103222431.

It is a junction number, because it is equal to n+sod(n) for n = 1342223012391 and 1342223012400.

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 23 ways as a sum of consecutive naturals, for example, 245979 + ... + 1656789.

It is an arithmetic number, because the mean of its divisors is an integer number (40710743775).

Almost surely, 21342223012424 is an apocalyptic number.

1342223012424 is a gapful number since it is divisible by the number (14) 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 1342223012424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1954115701200).

1342223012424 is an abundant number, since it is smaller than the sum of its proper divisors (2566008389976).

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

1342223012424 is a wasteful number, since it uses less digits than its factorization.

1342223012424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411643 (or 1411632 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 1342223012424 its reverse (4242103222431), we get a palindrome (5584326234855).

The spelling of 1342223012424 in words is "one trillion, three hundred forty-two billion, two hundred twenty-three million, twelve thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 809 1176 1618 2427 3236 4854 5663 6472 9708 11326 16989 19416 22652 33978 39641 45304 67956 79282 118923 135912 158564 237846 317128 475692 951384 1410811 2821622 4232433 5643244 8464866 9875677 11286488 16929732 19751354 29627031 33859464 39502708 59254062 69129739 79005416 118508124 138259478 207389217 237016248 276518956 414778434 553037912 829556868 1141346099 1659113736 2282692198 3424038297 4565384396 6848076594 7989422693 9130768792 13696153188 15978845386 23968268079 27392306376 31957690772 47936536158 55925958851 63915381544 95873072316 111851917702 167777876553 191746144632 223703835404 335555753106 447407670808 671111506212 1342223012424