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1242214031400 = 2335229371929503
BaseRepresentation
bin10010000100111001101…
…110011110000000101000
311101202101000212002120220
4102010321232132000220
5130323023243001100
62350355405450040
7155514136022616
oct22047156360050
94352330762526
101242214031400
11439902488751
121808bab70920
13901a9272404
14441a2b866b6
15224a5c61aa0
hex12139b9e028

1242214031400 has 192 divisors, whose sum is σ = 4091320281600. Its totient is φ = 311190082560.

The previous prime is 1242214031381. The next prime is 1242214031411. The reversal of 1242214031400 is 41304122421.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 47 ways as a sum of consecutive naturals, for example, 320952 + ... + 1608551.

It is an arithmetic number, because the mean of its divisors is an integer number (21308959800).

Almost surely, 21242214031400 is an apocalyptic number.

1242214031400 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 1242214031400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2045660140800).

1242214031400 is an abundant number, since it is smaller than the sum of its proper divisors (2849106250200).

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

1242214031400 is a wasteful number, since it uses less digits than its factorization.

1242214031400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1929588 (or 1929579 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1242214031400 its reverse (41304122421), we get a palindrome (1283518153821).

The spelling of 1242214031400 in words is "one trillion, two hundred forty-two billion, two hundred fourteen million, thirty-one thousand, four hundred".