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1442043432 = 233349113597
BaseRepresentation
bin101010111110011…
…1101011000101000
310201111110101201000
41111330331120220
510423130342212
6355031555000
750510111154
oct12574753050
93644411630
101442043432
1167aaa5635
12342b2ba60
1319c9ac44b
14d9738064
15868ec1dc
hex55f3d628

1442043432 has 64 divisors (see below), whose sum is σ = 4014129600. Its totient is φ = 479666880.

The previous prime is 1442043409. The next prime is 1442043469. The reversal of 1442043432 is 2343402441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1442043396 and 1442043405.

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, 99258 + ... + 112854.

It is an arithmetic number, because the mean of its divisors is an integer number (62720775).

Almost surely, 21442043432 is an apocalyptic number.

1442043432 is a gapful number since it is divisible by the number (12) 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 1442043432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007064800).

1442043432 is an abundant number, since it is smaller than the sum of its proper divisors (2572086168).

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

1442043432 is a wasteful number, since it uses less digits than its factorization.

1442043432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14103 (or 14093 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 1442043432 is about 37974.2469576422. The cubic root of 1442043432 is about 1129.7771330647. Note that the first 3 decimals are identical.

Adding to 1442043432 its reverse (2343402441), we get a palindrome (3785445873).

The spelling of 1442043432 in words is "one billion, four hundred forty-two million, forty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 491 982 1473 1964 2946 3928 4419 5892 8838 11784 13257 13597 17676 26514 27194 35352 40791 53028 54388 81582 106056 108776 122373 163164 244746 326328 367119 489492 734238 978984 1468476 2936952 6676127 13352254 20028381 26704508 40056762 53409016 60085143 80113524 120170286 160227048 180255429 240340572 360510858 480681144 721021716 1442043432