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1342433444000 = 255311163187177
BaseRepresentation
bin10011100010001111010…
…001001100000010100000
311202100001111100202100012
4103202033101030002200
5133443300430202000
62504412211344052
7165662516000165
oct23421721140240
94670044322305
101342433444000
11478360755780
1219820a2b2028
139978b37509c
1448d8d00006c
1524dbe38c735
hex1388f44c0a0

1342433444000 has 192 divisors, whose sum is σ = 3620304035712. Its totient is φ = 485160192000.

The previous prime is 1342433443993. The next prime is 1342433444083. The reversal of 1342433444000 is 4443342431.

It is a super-2 number, since 2×13424334440002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7078412 + ... + 7265588.

It is an arithmetic number, because the mean of its divisors is an integer number (18855750186).

Almost surely, 21342433444000 is an apocalyptic number.

1342433444000 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 1342433444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1810152017856).

1342433444000 is an abundant number, since it is smaller than the sum of its proper divisors (2277870591712).

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

1342433444000 is a wasteful number, since it uses less digits than its factorization.

1342433444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187376 (or 187358 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 1342433444000 its reverse (4443342431), we get a palindrome (1346876786431).

The spelling of 1342433444000 in words is "one trillion, three hundred forty-two billion, four hundred thirty-three million, four hundred forty-four thousand".