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1442122443432 = 2332111820861671
BaseRepresentation
bin10100111111000101001…
…100100010101010101000
312002212100222210122000100
4110333011030202222220
5142111431321142212
63022300224505400
7206122065341406
oct24770514425250
95085328718010
101442122443432
11506667583510
121b35aba7b260
13a5cb7604908
144db28a26476
15277a6143bdc
hex14fc5322aa8

1442122443432 has 48 divisors (see below), whose sum is σ = 4260816312480. Its totient is φ = 437006800800.

The previous prime is 1442122443407. The next prime is 1442122443457. The reversal of 1442122443432 is 2343442212441.

1442122443432 is a `hidden beast` number, since 1 + 4 + 4 + 212 + 2 + 4 + 4 + 3 + 432 = 666.

It is an interprime number because it is at equal distance from previous prime (1442122443407) and next prime (1442122443457).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 910430044 + ... + 910431627.

It is an arithmetic number, because the mean of its divisors is an integer number (88767006510).

Almost surely, 21442122443432 is an apocalyptic number.

1442122443432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1442122443432 is an abundant number, since it is smaller than the sum of its proper divisors (2818693869048).

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

1442122443432 is a wasteful number, since it uses less digits than its factorization.

1442122443432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820861694 (or 1820861687 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

Adding to 1442122443432 its reverse (2343442212441), we get a palindrome (3785564655873).

The spelling of 1442122443432 in words is "one trillion, four hundred forty-two billion, one hundred twenty-two million, four hundred forty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 1820861671 3641723342 5462585013 7283446684 10925170026 14566893368 16387755039 20029478381 21850340052 32775510078 40058956762 43700680104 60088435143 65551020156 80117913524 120176870286 131102040312 160235827048 180265305429 240353740572 360530610858 480707481144 721061221716 1442122443432