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4441434432 = 263163141917
BaseRepresentation
bin1000010001011101…
…01110100101000000
3102110112100020122120
410020232232211000
533044001400212
62012415204240
7215030366301
oct41056564500
912415306576
104441434432
11197a08a476
12a3b516680
1355a20c716
14301c227a8
151aedc088c
hex108bae940

4441434432 has 56 divisors (see below), whose sum is σ = 11823472416. Its totient is φ = 1471385088.

The previous prime is 4441434427. The next prime is 4441434443. The reversal of 4441434432 is 2344341444.

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

It is a junction number, because it is equal to n+sod(n) for n = 4441434393 and 4441434402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39663 + ... + 102254.

It is an arithmetic number, because the mean of its divisors is an integer number (211133436).

Almost surely, 24441434432 is an apocalyptic number.

It is an amenable number.

4441434432 is an abundant number, since it is smaller than the sum of its proper divisors (7382037984).

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

4441434432 is a wasteful number, since it uses less digits than its factorization.

4441434432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142095 (or 142085 counting only the distinct ones).

The product of its digits is 73728, while the sum is 33.

The square root of 4441434432 is about 66644.0877497772. The cubic root of 4441434432 is about 1643.7701326125.

Adding to 4441434432 its reverse (2344341444), we get a palindrome (6785775876).

The spelling of 4441434432 in words is "four billion, four hundred forty-one million, four hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 163 192 326 489 652 978 1304 1956 2608 3912 5216 7824 10432 15648 31296 141917 283834 425751 567668 851502 1135336 1703004 2270672 3406008 4541344 6812016 9082688 13624032 23132471 27248064 46264942 69397413 92529884 138794826 185059768 277589652 370119536 555179304 740239072 1110358608 1480478144 2220717216 4441434432