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1342256542300 = 2252233299176899
BaseRepresentation
bin10011100010000100101…
…110010111001001011100
311202022121011111012211101
4103202010232113021130
5133442420133323200
62504342452002444
7165655240234612
oct23420456271134
94668534435741
101342256542300
1147827a909923
1219817b000424
139976081751b
1448d737116b2
1524dada9726a
hex13884b9725c

1342256542300 has 72 divisors (see below), whose sum is σ = 3040274160000. Its totient is φ = 513400451520.

The previous prime is 1342256542229. The next prime is 1342256542303. The reversal of 1342256542300 is 32456522431.

It is a self number, because there is not a number n which added to its sum of digits gives 1342256542300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1342256542303) 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 23 ways as a sum of consecutive naturals, for example, 7499251 + ... + 7676149.

It is an arithmetic number, because the mean of its divisors is an integer number (42226030000).

Almost surely, 21342256542300 is an apocalyptic number.

1342256542300 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 1342256542300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520137080000).

1342256542300 is an abundant number, since it is smaller than the sum of its proper divisors (1698017617700).

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

1342256542300 is a wasteful number, since it uses less digits than its factorization.

1342256542300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180235 (or 180228 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 37.

The spelling of 1342256542300 in words is "one trillion, three hundred forty-two billion, two hundred fifty-six million, five hundred forty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1150 2300 3299 6598 13196 16495 32990 65980 75877 82475 151754 164950 176899 303508 329900 353798 379385 707596 758770 884495 1517540 1768990 1896925 3537980 3793850 4068677 4422475 7587700 8137354 8844950 16274708 17689900 20343385 40686770 81373540 101716925 203433850 406867700 583589801 1167179602 2334359204 2917949005 5835898010 11671796020 13422565423 14589745025 26845130846 29179490050 53690261692 58358980100 67112827115 134225654230 268451308460 335564135575 671128271150 1342256542300