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1342014424000 = 2653829120233
BaseRepresentation
bin10011100001110110010…
…010110000001111000000
311202021222021220022221221
4103201312102300033000
5133441421143032000
62504302442324424
7165646240250425
oct23416622601700
94667867808857
101342014424000
11478166179858
12198111ab9714
1399722604463
1448d4d4c7d4c
1524d976bd61a
hex138764b03c0

1342014424000 has 112 divisors (see below), whose sum is σ = 3324063858336. Its totient is φ = 536714496000.

The previous prime is 1342014423977. The next prime is 1342014424027. The reversal of 1342014424000 is 4244102431.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 66317884 + ... + 66338116.

Almost surely, 21342014424000 is an apocalyptic number.

1342014424000 is a gapful number since it is divisible by the number (10) 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 1342014424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662031929168).

1342014424000 is an abundant number, since it is smaller than the sum of its proper divisors (1982049434336).

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

1342014424000 is an equidigital number, since it uses as much as digits as its factorization.

1342014424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28551 (or 28531 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 1342014424000 its reverse (4244102431), we get a palindrome (1346258526431).

The spelling of 1342014424000 in words is "one trillion, three hundred forty-two billion, fourteen million, four hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 4000 8000 8291 16582 20233 33164 40466 41455 66328 80932 82910 101165 132656 161864 165820 202330 207275 265312 323728 331640 404660 414550 505825 530624 647456 663280 809320 829100 1011650 1036375 1294912 1326560 1618640 1658200 2023300 2072750 2529125 2653120 3237280 3316400 4046600 4145500 5058250 6474560 6632800 8093200 8291000 10116500 13265600 16186400 16582000 20233000 32372800 33164000 40466000 66328000 80932000 161864000 167751803 335503606 671007212 838759015 1342014424 1677518030 2684028848 3355036060 4193795075 5368057696 6710072120 8387590150 10736115392 13420144240 16775180300 20968975375 26840288480 33550360600 41937950750 53680576960 67100721200 83875901500 134201442400 167751803000 268402884800 335503606000 671007212000 1342014424000